Description
f(x) = x − 2, g(x) = x2
Find (f + g)(x)
Find the domain of
(f + g)(x).
Find the domain of (f + g)(x) (Enter your answer using interval notation.)Find (f − g)(x).
Find the domain of (f − g)(x).(Enter your answer using interval notation.)
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Explanation & Answer
(f+g)x = f(x)+ g(x) = x-2 + x^2 =
Interval Notation: (-infinity, infinity)
(f-g)x = f(x) - g(x) = x-2 - x^2
Interval Notation: (-infinity, infinity)
Completion Status:
100%
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Chamberlain Nursing Research Literature Is Essential for Evidence-Based Practice
Reading, understanding, and appreciating original nursing research literature is essential for evidence-based practice (AA ...
Chamberlain Nursing Research Literature Is Essential for Evidence-Based Practice
Reading, understanding, and appreciating original nursing research literature is essential for evidence-based practice (AACN, 2008; QSEN, 2018).PurposeThis assignment provides a learning activity for students to read an original research study and complete a worksheet to demonstrate understanding of the study purpose, design, sample, data collection, analysis, limitations, conclusions, and the importance of reading research literature.Course OutcomesThis assignment enables the student to meet the following Course Outcomes.CO1: Examine the sources of evidence that contribute to professional nursing practice. (PO 7)CO2: Apply research principles to the interpretation of the content of published research studies. (POs 4 & 8)CO4: Evaluate published nursing research for credibility and significance related to evidence-based practice. (POs 4, 8)CO5: Recognize the role of research findings in evidence-based practice. (POs 7 & 8)Due DateSubmit the completed RRL Worksheet by Sunday, 11:59 p.m. MT at the end of Week 6.PointsThis assignment is worth 200 points.Assignment Directions:Read over each of the following directions, the required Reading Research Literature worksheet, and grading rubric.Download and complete the required Reading Research Literature (RRL) worksheet (Links to an external site.).Download or access the required article. The required article must be used. O’Connor, M., Tanner, P. , Miller, L., Watts, K., & Musiello, T. (2017). Detecting distress: Introducing routine screening in a gynecological cancer setting. Clinical Journal of Oncology Nursing, 21(1), 79-85. Retrieved from https://chamberlainuniversity.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx? (Links to an external site.)You must use the grading rubric to ensure you are meeting all grading criteria of the worksheet.You are required to complete the worksheet using the productivity tools required by Chamberlain University, which is Microsoft Office Word 2013 (or later version), or Windows and Office 2011 (or later version) for MAC. You must save the file in the ".docx" format. Do NOT save as Word Pad. A later version of the productivity tool includes Office 365, which is available to Chamberlain students for FREE by downloading from the student portal at http://my.chamberlain.edu (Links to an external site.). Click on the envelope at the top of the page.Use correct grammar, spelling, punctuation, and in-text APA formatting.Submit the completed Reading Research Literature Worksheet to the Week 6 Assignment.ReminderBefore preparing your assignment, please review this "Crediting Sources Made Simple (Links to an external site.)" resource. This tool is intended to help you understand scholarly writing, APA, referencing, and crediting. Please reach out to your instructor with any questions as you prepare your assignment.**Academic Integrity**Chamberlain College of Nursing values honesty and integrity. All students should be aware of the Academic Integrity policy and follow it in all discussions and assignments.By submitting this assignment, I pledge on my honor that all content contained is my own original work except as quoted and cited appropriately. I have not received any unauthorized assistance on this assignment. Please see the grading criteria and rubrics on this page.Please see the grading criteria and rubrics on this page.NOTE: Please use your browser's File setting to save or print this page.ReferencesAmerican Association of Colleges of Nurses (AACN). (2008). Executive summary: The essentials of baccalaureate education for professional nursing practice (2008). Retrieved from http://www.aacnnursing.org/Education-Resources/AAC...Quality and Safety Education for Nurses (QSEN). (2018). Quality and safety education for nurses competencies. Retrieved from http://qsen.org/competencies/pre-licensure-ksas/#e...RubricNR439 Reading Research Literature Worksheet RubricNR439 Reading Research Literature Worksheet RubricCriteriaRatingsPtsThis criterion is linked to a Learning OutcomePurpose of the StudyUsing information from the required article and mostly your words, thoroughly summarize the purpose of the study. Describe what the study is about. Provide details.30.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.26.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.24.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details provided.11.0 ptsPoorly summarizes the criteria in the first column. Vague details provided.0.0 ptsAll criteria from the first column are missing.30.0 ptsThis criterion is linked to a Learning OutcomeType of Research & the DesignUsing information from the required article and your own words, summarize the description of the type of research and the design of the study. Include how it supports the purpose (aim or intent) of the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column one criteria is missing. Fair details provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeSampleUsing information from the required article and your own words, summarize the population (sample) for the study; include key characteristics, sample size, sampling technique. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeData CollectionUsing information from the required article and your own words, summarize one data that was collected and how the data was collected from the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeData AnalysisUsing information from the required article and your own words, summarize one of the data analysis/ tests performed or one method of data analysis from the study; include what you know/learned about the descriptive or statistical test or data analysis method. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeLimitationsUsing information from the required article and your own words, summarize one limitation reported in the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first the column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeFindings/DiscussionUsing information from the required article and your own words, summarize one of the authors' findings/discussion reported in the study. Include one interesting detail you learned from reading the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first the column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeReading Research LiteratureSummarize why it is important for you to read and understand research literature. Summarize what you learned from completing the reading research literature activity worksheet. Provide details.30.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.26.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.24.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.11.0 ptsPoorly summarizes the criteria in the first the column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.30.0 ptsThis criterion is linked to a Learning OutcomeScholarly Writing, Mechanics, Organization, Spelling, Sentence Structure, Grammar10.0 ptsExcellent writing, mechanics, organization, spelling, sentence structure, grammar. No errors or 1-2 errors noted.6.0 ptsGood writing, mechanics, organization, spelling, sentence structure, grammar. A few errors noted.4.0 ptsFair writing, mechanics, organization, spelling, sentence structure, grammar. Some errors noted.3.0 ptsPoor writing, mechanics, organization, spelling, sentence structure, grammar. Many errors noted.0.0 ptsVery poor writing, mechanics, and organization. Errors throughout are noted. Writing is difficult to understand or follow.10.0 ptsThis criterion is linked to a Learning OutcomeAPA In-Text Formatting for Cited Sentences10.0 ptsExcellent APA in-text formatting with no errors. Uses mostly your own words with no more than two direct quotes.5.0 ptsGood APA formatting. Uses APA in-text citation formatting with 1-2 errors noted.4.0 ptsFair APA formatting. Uses APA in-text citation formatting with some errors noted or does not use in-text citation formatting.3.0 ptsPoor APA formatting with many errors noted.0.0 ptsVery poor APA with errors noted throughout.10.0 ptsThis criterion is linked to a Learning OutcomeRequired RRL Worksheet and Required Article Use0.0 pts0 points deducted Required RRL Worksheet used for this assignment and Required Article used for this assignment. 0 points deducted0.0 pts20 points (10%) deducted Required RRL Worksheet NOT used and/or Required Article NOT used for this assignment results in a deduction of 20 points (10%). 20 points deducted0.0 ptsThis criterion is linked to a Learning OutcomeLate Deduction0.0 pts0 point deductionSubmitted on time0.0 ptsNot submitted on time - Points deducted1 day late = 10 deduction; 2 days late = 20 deduction; 3 days late = 30 deduction; 4 days late = 40 deduction; 5 days late = 50 deduction; 6 days late = 60 deduction; 7 days late = 70 deduction; Score of 0 if more than 7 days late0.0 ptsTotal Points: 200.0
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activ ...
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activity may not work well on a cell phone or
tablet. We highly recommend that you complete this activity on a
computer.Here are the directions and grading rubric for the discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page.ContextDo undergraduates sleep less than graduate students?A student conducted a study of sleep habits at a large state
university. His hypothesis is that undergraduates will party more and
sleep less than graduate students. He surveyed random samples of 75
undergraduate students and 50 graduate students. Subjects reported the
hours they sleep in a typical night.For this hypothesis test, he defined the population means as follows:
μ
1
is the mean number of hours undergraduate students sleep in a typical night.
μ
2
is the mean number of hours graduate students sleep in a typical night.VariablesHours: typical number of hours a student sleeps each night Program: undergraduate or graduate Program is the explanatory variable, and the data is categorical. Hours is the response variable, and the data is quantitative.DataTwo sample T hypothesis test:μ1 : Mean of undergraduateμ2 : Mean of graduateμ1 - μ2 : Difference between two meansH0 : μ1 - μ2 = 0HA : μ1 - μ2 < 0(without pooled variances)Hypothesis test results:
DifferenceSample Diff.Std. Err.DFT-StatP-value
μ1 - μ2-0.233333330.18963708106.32776-1.23042040.1106
PromptState the null and alternative hypotheses. Include a clear description of the populations and the variable.Explain why we can safely use the two-sample T-test in this case.Use StatCrunch to carry out the test. Copy and paste the content of in the StatCrunch output window (text and the table) in your initial post. State a conclusion in the context of this problem.ANSWER(S): (hint)Since we want to check whether the data supports the claim that
undergraduate students sleep less, on average, than graduate students,
we are testing:
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
We can safely use the two-sample T-test in this case since:
Both samples are random, and therefore independent.The sample sizes (75 and 50) are quite large, and therefore we can
proceed regardless of whether the populations are normal or not.
T = -1.23; P-value = 0.111Here is the StatCrunch output depicting these values.Two sample T hypothesis test:
μ
1
: Mean of undergraduate
μ
2
: Mean of graduate
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
(without pooled variances)
Hypothesis test results:
Difference
Sample Diff.
Sd. Err.
DF
T-Stat
P-Value
μ1 - μ2
-0.23333333
0.18963708
106.32776
-1.2304204
0.1106
The P-value (0.111) is greater than 0.05. This indicates that
the observed data is not unusual if undergraduate and graduate students,
on average, have the same mean for sleep hours. Therefore, the data do
not provide evidence to reject
H
0
. So we cannot conclude that undergraduate students sleep less, on average, than graduate students.
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Chamberlain Nursing Research Literature Is Essential for Evidence-Based Practice
Reading, understanding, and appreciating original nursing research literature is essential for evidence-based practice (AA ...
Chamberlain Nursing Research Literature Is Essential for Evidence-Based Practice
Reading, understanding, and appreciating original nursing research literature is essential for evidence-based practice (AACN, 2008; QSEN, 2018).PurposeThis assignment provides a learning activity for students to read an original research study and complete a worksheet to demonstrate understanding of the study purpose, design, sample, data collection, analysis, limitations, conclusions, and the importance of reading research literature.Course OutcomesThis assignment enables the student to meet the following Course Outcomes.CO1: Examine the sources of evidence that contribute to professional nursing practice. (PO 7)CO2: Apply research principles to the interpretation of the content of published research studies. (POs 4 & 8)CO4: Evaluate published nursing research for credibility and significance related to evidence-based practice. (POs 4, 8)CO5: Recognize the role of research findings in evidence-based practice. (POs 7 & 8)Due DateSubmit the completed RRL Worksheet by Sunday, 11:59 p.m. MT at the end of Week 6.PointsThis assignment is worth 200 points.Assignment Directions:Read over each of the following directions, the required Reading Research Literature worksheet, and grading rubric.Download and complete the required Reading Research Literature (RRL) worksheet (Links to an external site.).Download or access the required article. The required article must be used. O’Connor, M., Tanner, P. , Miller, L., Watts, K., & Musiello, T. (2017). Detecting distress: Introducing routine screening in a gynecological cancer setting. Clinical Journal of Oncology Nursing, 21(1), 79-85. Retrieved from https://chamberlainuniversity.idm.oclc.org/login?url=https://search.ebscohost.com/login.aspx? (Links to an external site.)You must use the grading rubric to ensure you are meeting all grading criteria of the worksheet.You are required to complete the worksheet using the productivity tools required by Chamberlain University, which is Microsoft Office Word 2013 (or later version), or Windows and Office 2011 (or later version) for MAC. You must save the file in the ".docx" format. Do NOT save as Word Pad. A later version of the productivity tool includes Office 365, which is available to Chamberlain students for FREE by downloading from the student portal at http://my.chamberlain.edu (Links to an external site.). Click on the envelope at the top of the page.Use correct grammar, spelling, punctuation, and in-text APA formatting.Submit the completed Reading Research Literature Worksheet to the Week 6 Assignment.ReminderBefore preparing your assignment, please review this "Crediting Sources Made Simple (Links to an external site.)" resource. This tool is intended to help you understand scholarly writing, APA, referencing, and crediting. Please reach out to your instructor with any questions as you prepare your assignment.**Academic Integrity**Chamberlain College of Nursing values honesty and integrity. All students should be aware of the Academic Integrity policy and follow it in all discussions and assignments.By submitting this assignment, I pledge on my honor that all content contained is my own original work except as quoted and cited appropriately. I have not received any unauthorized assistance on this assignment. Please see the grading criteria and rubrics on this page.Please see the grading criteria and rubrics on this page.NOTE: Please use your browser's File setting to save or print this page.ReferencesAmerican Association of Colleges of Nurses (AACN). (2008). Executive summary: The essentials of baccalaureate education for professional nursing practice (2008). Retrieved from http://www.aacnnursing.org/Education-Resources/AAC...Quality and Safety Education for Nurses (QSEN). (2018). Quality and safety education for nurses competencies. Retrieved from http://qsen.org/competencies/pre-licensure-ksas/#e...RubricNR439 Reading Research Literature Worksheet RubricNR439 Reading Research Literature Worksheet RubricCriteriaRatingsPtsThis criterion is linked to a Learning OutcomePurpose of the StudyUsing information from the required article and mostly your words, thoroughly summarize the purpose of the study. Describe what the study is about. Provide details.30.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.26.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.24.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details provided.11.0 ptsPoorly summarizes the criteria in the first column. Vague details provided.0.0 ptsAll criteria from the first column are missing.30.0 ptsThis criterion is linked to a Learning OutcomeType of Research & the DesignUsing information from the required article and your own words, summarize the description of the type of research and the design of the study. Include how it supports the purpose (aim or intent) of the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column one criteria is missing. Fair details provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeSampleUsing information from the required article and your own words, summarize the population (sample) for the study; include key characteristics, sample size, sampling technique. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeData CollectionUsing information from the required article and your own words, summarize one data that was collected and how the data was collected from the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeData AnalysisUsing information from the required article and your own words, summarize one of the data analysis/ tests performed or one method of data analysis from the study; include what you know/learned about the descriptive or statistical test or data analysis method. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeLimitationsUsing information from the required article and your own words, summarize one limitation reported in the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first the column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeFindings/DiscussionUsing information from the required article and your own words, summarize one of the authors' findings/discussion reported in the study. Include one interesting detail you learned from reading the study. Provide details.20.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.18.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.16.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.8.0 ptsPoorly summarizes the criteria in the first the column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.20.0 ptsThis criterion is linked to a Learning OutcomeReading Research LiteratureSummarize why it is important for you to read and understand research literature. Summarize what you learned from completing the reading research literature activity worksheet. Provide details.30.0 ptsThoroughly summarizes the criteria in the first column. Excellent details are provided.26.0 ptsMostly summarizes the criteria in the first column or one criteria lacks details.24.0 ptsMinimally summarizes the criteria in the first column or one criteria is missing. Fair details are provided.11.0 ptsPoorly summarizes the criteria in the first the column. Vague details are provided.0.0 ptsAll criteria from the first column are missing.30.0 ptsThis criterion is linked to a Learning OutcomeScholarly Writing, Mechanics, Organization, Spelling, Sentence Structure, Grammar10.0 ptsExcellent writing, mechanics, organization, spelling, sentence structure, grammar. No errors or 1-2 errors noted.6.0 ptsGood writing, mechanics, organization, spelling, sentence structure, grammar. A few errors noted.4.0 ptsFair writing, mechanics, organization, spelling, sentence structure, grammar. Some errors noted.3.0 ptsPoor writing, mechanics, organization, spelling, sentence structure, grammar. Many errors noted.0.0 ptsVery poor writing, mechanics, and organization. Errors throughout are noted. Writing is difficult to understand or follow.10.0 ptsThis criterion is linked to a Learning OutcomeAPA In-Text Formatting for Cited Sentences10.0 ptsExcellent APA in-text formatting with no errors. Uses mostly your own words with no more than two direct quotes.5.0 ptsGood APA formatting. Uses APA in-text citation formatting with 1-2 errors noted.4.0 ptsFair APA formatting. Uses APA in-text citation formatting with some errors noted or does not use in-text citation formatting.3.0 ptsPoor APA formatting with many errors noted.0.0 ptsVery poor APA with errors noted throughout.10.0 ptsThis criterion is linked to a Learning OutcomeRequired RRL Worksheet and Required Article Use0.0 pts0 points deducted Required RRL Worksheet used for this assignment and Required Article used for this assignment. 0 points deducted0.0 pts20 points (10%) deducted Required RRL Worksheet NOT used and/or Required Article NOT used for this assignment results in a deduction of 20 points (10%). 20 points deducted0.0 ptsThis criterion is linked to a Learning OutcomeLate Deduction0.0 pts0 point deductionSubmitted on time0.0 ptsNot submitted on time - Points deducted1 day late = 10 deduction; 2 days late = 20 deduction; 3 days late = 30 deduction; 4 days late = 40 deduction; 5 days late = 50 deduction; 6 days late = 60 deduction; 7 days late = 70 deduction; Score of 0 if more than 7 days late0.0 ptsTotal Points: 200.0
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activ ...
MCAD Hypothesis Test for a Difference in Two Population Means Worksheet
Learn by DoingIn this activity you will learn to use StatCrunch to perform a two-sample t-test.Some features of this activity may not work well on a cell phone or
tablet. We highly recommend that you complete this activity on a
computer.Here are the directions and grading rubric for the discussion board exercises. A list of StatCrunch directions is provided at the bottom of this page.ContextDo undergraduates sleep less than graduate students?A student conducted a study of sleep habits at a large state
university. His hypothesis is that undergraduates will party more and
sleep less than graduate students. He surveyed random samples of 75
undergraduate students and 50 graduate students. Subjects reported the
hours they sleep in a typical night.For this hypothesis test, he defined the population means as follows:
μ
1
is the mean number of hours undergraduate students sleep in a typical night.
μ
2
is the mean number of hours graduate students sleep in a typical night.VariablesHours: typical number of hours a student sleeps each night Program: undergraduate or graduate Program is the explanatory variable, and the data is categorical. Hours is the response variable, and the data is quantitative.DataTwo sample T hypothesis test:μ1 : Mean of undergraduateμ2 : Mean of graduateμ1 - μ2 : Difference between two meansH0 : μ1 - μ2 = 0HA : μ1 - μ2 < 0(without pooled variances)Hypothesis test results:
DifferenceSample Diff.Std. Err.DFT-StatP-value
μ1 - μ2-0.233333330.18963708106.32776-1.23042040.1106
PromptState the null and alternative hypotheses. Include a clear description of the populations and the variable.Explain why we can safely use the two-sample T-test in this case.Use StatCrunch to carry out the test. Copy and paste the content of in the StatCrunch output window (text and the table) in your initial post. State a conclusion in the context of this problem.ANSWER(S): (hint)Since we want to check whether the data supports the claim that
undergraduate students sleep less, on average, than graduate students,
we are testing:
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
We can safely use the two-sample T-test in this case since:
Both samples are random, and therefore independent.The sample sizes (75 and 50) are quite large, and therefore we can
proceed regardless of whether the populations are normal or not.
T = -1.23; P-value = 0.111Here is the StatCrunch output depicting these values.Two sample T hypothesis test:
μ
1
: Mean of undergraduate
μ
2
: Mean of graduate
H
0
:
μ
1
−
μ
2
=
0
H
a
:
μ
1
−
μ
2
<
0
(without pooled variances)
Hypothesis test results:
Difference
Sample Diff.
Sd. Err.
DF
T-Stat
P-Value
μ1 - μ2
-0.23333333
0.18963708
106.32776
-1.2304204
0.1106
The P-value (0.111) is greater than 0.05. This indicates that
the observed data is not unusual if undergraduate and graduate students,
on average, have the same mean for sleep hours. Therefore, the data do
not provide evidence to reject
H
0
. So we cannot conclude that undergraduate students sleep less, on average, than graduate students.
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