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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.
Statistics Question
For this Introduction to Quantitative Analysis Assignment, you will explore how to visually display data for optimal use. ...
Statistics Question
For this Introduction to Quantitative Analysis Assignment, you will explore how to visually display data for optimal use. To prepare for this Assignment: Review this week’s Learning Resources and consider visual displays of data. For additional support, review the Skill Builder: Unit of Analysis and the Skill Builder: Levels of Measurement, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane. Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you choose) found in this week’s Learning Resources. From the dataset you chose, choose one categorical and one continuous variable and perform the appropriate visual display for each variable. Once you visually display each variable, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document. For this Assignment: Write a 2- to 3-paragraph analysis of your results and include a copy and paste of the appropriate visual display of the data into your document. Based on the results of your data, provide a brief explanation of what the implications for social change might be. Early in your Assignment, when you relate which dataset you analyzed, please include the mean of the following variables. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES. Use appropriate APA format. Refer to the APA manual for appropriate citation. Learning Resources Required Readings Frankfort-Nachmias, C., Leon-Guerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.). Thousand Oaks, CA: Sage Publications. Chapter 2, “The Organization and Graphic Presentation Data” (pp. 27-74) Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications. Chapter 5, “Charts and Graphs” Chapter 11, “Editing Output” Walden University Writing Center. (n.d.). General guidance on data displays. Retrieved from http://waldenwritingcenter.blogspot.com/2013/02/general-guidance-on-data-displays.html Use this website to guide you as you provide appropriate APA formatting and citations for data displays. Datasets Your instructor will post the datasets for the course in the Doc Sharing section and in an Announcement. Your instructor may also recommend using a different dataset from the ones provided here. Required Media Laureate Education (Producer). (2016j). Visual displays of data [Video file]. Baltimore, MD: Author. Note: The approximate length of this media piece is 9 minutes. In this media program, Dr. Matt Jones discusses frequency distributions. Focus on how his explanation might support your analysis in this week’s Assignment. Accessible player --Downloads-- Download Video w/CC Download Audio Download Transcript Optional Resources Skill Builders: Visual Displays for Continuous VariablesVisual Displays for Categorical Variables To access these Skill Builders, navigate back to your Blackboard Course Home page, and locate “Skill Builders” in the left navigation pane. From there, click on the relevant Skill Builder link for this week. You are encouraged to click through these and all Skill Builders to gain additional practice with these concepts. Doing so will bolster your knowledge of the concepts you’re learning this week and throughout the course.
form a polynomial whose real zeros and degree are given.
Zeros: -1,0,2; degree: 3 type a polynomial with integer coefficients and a leading coefficient of 1.f(x)=
form a polynomial whose real zeros and degree are given.
Zeros: -1,0,2; degree: 3 type a polynomial with integer coefficients and a leading coefficient of 1.f(x)=
Review Correlation and Regression
Part A. SPSS AssignmentPart A has you really getting to know a set of data and allows you the opportunity to perform stati ...
Review Correlation and Regression
Part A. SPSS AssignmentPart A has you really getting to know a set of data and allows you the opportunity to perform statistical tests and then interpret the output. You will rely on all you have learned to this point and add correlation and regression strategies to your tool kit. Using the data set: Chamorro-Premuzic.sav you will focus on the variables related to Extroversion and Agreeableness (student and lecturer). Do the following:Exploratory Data Analysis.Perform Exploratory Data Analysis on all variables in the data set. Because you are going to focus on Extroversion and Agreeableness, be sure to include scatterplots for these combinations of variables (Student Agreeableness/Lecture Agreeableness; Student Extroversion/Lecture Extroversion; Student Agreeableness/Lecture Extroversion; Student Extroversion/Lecture Agreeableness) and include the regression line on the chart.Give a one to two paragraph write up of the data once you have done this.Create an APA style table that presents descriptive statistics for the sample.Make a decision about the missing data. How are you going to handle it and why?Correlation. Perform a correlational analysis on the following variables: Student Extroversion, Lecture Extroversion, Student Agreeableness, Lecture Agreeableness.Ensure you handle missing data as you decided above.State if you are using one or two-tailed test and why.Write up the results in APA style and interpret them.Regression. Calculate a regression that examines whether or not you can predict if a student wants a lecturer to be extroverted using the student’s extroversion score.Ensure you handle missing data as you decided above.State if you are using one or two-tailed test and why.Include diagnostics.Discuss assumptions; are they met?Write the results in APA style and interpret them.Do these results differ from the correlation results above?Multiple Regression. Calculate a multiple regression that examines whether age, gender, and student’s extroversion predict if a student wants the lecturer to be extroverted.Ensure you handle missing data as you decided above.State if you are using one or two-tailed test and why.Include diagnostics,Discuss assumptions; are they met?Write the results in APA style and interpret it.Do these results differ from the correlation results above?Part B. Applying Analytical Strategies to an Area of Research Interest. Briefly restate your research area of interest.Pearson Correlation. Identify two variables for which you could calculate a Pearson correlation coefficient. Describe the variables and their scale of measurement. Now, assume you conducted a Pearson correlation and came up with a significant positive or negative value. Create a mock r value (for example, .3 or -.2). Report your mock finding in APA style (note the text does not use APA style) and interpret the statistic in terms of effect size and R2 while also taking into account the third variable problem and well as direction of causality.Spearman’s Correlation. Identify two variables for which you could calculate a Spearman’s correlation coefficient. Describe the variables and their scale of measurement. Now, assume you conducted a correlation and came up with a significant positive or negative value. Create a mock r value (for example, .3 or -.2). Report your mock finding in APA style (note the text does not use APA style) and interpret the statistic in terms of effect size and R2 while also taking into account the third variable problem and well as direction of causality.Partial Correlation vs. Semi-Partial Correlation. Identify three variables for which you may be interested calculating either a partial or semi-partial correlation coefficient. Compare/contrast these two types of analyses using your variables and research example. Which would you use and why?Simple Regression. Identify two variables for which you could calculate a simple regression. Describe the variables and their scale of measurement. Which variable would you include as the predictor variable and which as the outcome variable? Why? What would R2 tell you about the relationship between the two variables?Multiple Regression. Identify at least 3 variables for which you could calculate a multiple regression. Describe the variables and their scale of measurement. Which variables would you include as the predictor variables and which as the outcome variable? Why? Which regression method would you use and why? What would R2 and adjusted R2 tell you about the relationship between the variables?Logistic Regression. Identify at least 3 variables for which you could calculate a logistic regression. Describe the variables and their scale of measurement. Which variables would you include as the predictor variables and which as the outcome variable? Why? Which regression method would you use and why? What would the output tell you about the relationship between the variables?
11 pages
Surge Logical Models
The report mainly focuses upon theoretical and practical applications of two well known mathematical models namely - Surge ...
Surge Logical Models
The report mainly focuses upon theoretical and practical applications of two well known mathematical models namely - Surge Functions, and Logistic ...
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Most Popular Content
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.
Statistics Question
For this Introduction to Quantitative Analysis Assignment, you will explore how to visually display data for optimal use. ...
Statistics Question
For this Introduction to Quantitative Analysis Assignment, you will explore how to visually display data for optimal use. To prepare for this Assignment: Review this week’s Learning Resources and consider visual displays of data. For additional support, review the Skill Builder: Unit of Analysis and the Skill Builder: Levels of Measurement, which you can find by navigating back to your Blackboard Course Home Page. From there, locate the Skill Builder link in the left navigation pane. Using the SPSS software, open the Afrobarometer dataset or the High School Longitudinal Study dataset (whichever you choose) found in this week’s Learning Resources. From the dataset you chose, choose one categorical and one continuous variable and perform the appropriate visual display for each variable. Once you visually display each variable, review Chapter 11 of the Wagner text to understand how to copy and paste your output into your Word document. For this Assignment: Write a 2- to 3-paragraph analysis of your results and include a copy and paste of the appropriate visual display of the data into your document. Based on the results of your data, provide a brief explanation of what the implications for social change might be. Early in your Assignment, when you relate which dataset you analyzed, please include the mean of the following variables. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES. Use appropriate APA format. Refer to the APA manual for appropriate citation. Learning Resources Required Readings Frankfort-Nachmias, C., Leon-Guerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.). Thousand Oaks, CA: Sage Publications. Chapter 2, “The Organization and Graphic Presentation Data” (pp. 27-74) Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications. Chapter 5, “Charts and Graphs” Chapter 11, “Editing Output” Walden University Writing Center. (n.d.). General guidance on data displays. Retrieved from http://waldenwritingcenter.blogspot.com/2013/02/general-guidance-on-data-displays.html Use this website to guide you as you provide appropriate APA formatting and citations for data displays. Datasets Your instructor will post the datasets for the course in the Doc Sharing section and in an Announcement. Your instructor may also recommend using a different dataset from the ones provided here. Required Media Laureate Education (Producer). (2016j). Visual displays of data [Video file]. Baltimore, MD: Author. Note: The approximate length of this media piece is 9 minutes. In this media program, Dr. Matt Jones discusses frequency distributions. Focus on how his explanation might support your analysis in this week’s Assignment. Accessible player --Downloads-- Download Video w/CC Download Audio Download Transcript Optional Resources Skill Builders: Visual Displays for Continuous VariablesVisual Displays for Categorical Variables To access these Skill Builders, navigate back to your Blackboard Course Home page, and locate “Skill Builders” in the left navigation pane. From there, click on the relevant Skill Builder link for this week. You are encouraged to click through these and all Skill Builders to gain additional practice with these concepts. Doing so will bolster your knowledge of the concepts you’re learning this week and throughout the course.
form a polynomial whose real zeros and degree are given.
Zeros: -1,0,2; degree: 3 type a polynomial with integer coefficients and a leading coefficient of 1.f(x)=
form a polynomial whose real zeros and degree are given.
Zeros: -1,0,2; degree: 3 type a polynomial with integer coefficients and a leading coefficient of 1.f(x)=
Review Correlation and Regression
Part A. SPSS AssignmentPart A has you really getting to know a set of data and allows you the opportunity to perform stati ...
Review Correlation and Regression
Part A. SPSS AssignmentPart A has you really getting to know a set of data and allows you the opportunity to perform statistical tests and then interpret the output. You will rely on all you have learned to this point and add correlation and regression strategies to your tool kit. Using the data set: Chamorro-Premuzic.sav you will focus on the variables related to Extroversion and Agreeableness (student and lecturer). Do the following:Exploratory Data Analysis.Perform Exploratory Data Analysis on all variables in the data set. Because you are going to focus on Extroversion and Agreeableness, be sure to include scatterplots for these combinations of variables (Student Agreeableness/Lecture Agreeableness; Student Extroversion/Lecture Extroversion; Student Agreeableness/Lecture Extroversion; Student Extroversion/Lecture Agreeableness) and include the regression line on the chart.Give a one to two paragraph write up of the data once you have done this.Create an APA style table that presents descriptive statistics for the sample.Make a decision about the missing data. How are you going to handle it and why?Correlation. Perform a correlational analysis on the following variables: Student Extroversion, Lecture Extroversion, Student Agreeableness, Lecture Agreeableness.Ensure you handle missing data as you decided above.State if you are using one or two-tailed test and why.Write up the results in APA style and interpret them.Regression. Calculate a regression that examines whether or not you can predict if a student wants a lecturer to be extroverted using the student’s extroversion score.Ensure you handle missing data as you decided above.State if you are using one or two-tailed test and why.Include diagnostics.Discuss assumptions; are they met?Write the results in APA style and interpret them.Do these results differ from the correlation results above?Multiple Regression. Calculate a multiple regression that examines whether age, gender, and student’s extroversion predict if a student wants the lecturer to be extroverted.Ensure you handle missing data as you decided above.State if you are using one or two-tailed test and why.Include diagnostics,Discuss assumptions; are they met?Write the results in APA style and interpret it.Do these results differ from the correlation results above?Part B. Applying Analytical Strategies to an Area of Research Interest. Briefly restate your research area of interest.Pearson Correlation. Identify two variables for which you could calculate a Pearson correlation coefficient. Describe the variables and their scale of measurement. Now, assume you conducted a Pearson correlation and came up with a significant positive or negative value. Create a mock r value (for example, .3 or -.2). Report your mock finding in APA style (note the text does not use APA style) and interpret the statistic in terms of effect size and R2 while also taking into account the third variable problem and well as direction of causality.Spearman’s Correlation. Identify two variables for which you could calculate a Spearman’s correlation coefficient. Describe the variables and their scale of measurement. Now, assume you conducted a correlation and came up with a significant positive or negative value. Create a mock r value (for example, .3 or -.2). Report your mock finding in APA style (note the text does not use APA style) and interpret the statistic in terms of effect size and R2 while also taking into account the third variable problem and well as direction of causality.Partial Correlation vs. Semi-Partial Correlation. Identify three variables for which you may be interested calculating either a partial or semi-partial correlation coefficient. Compare/contrast these two types of analyses using your variables and research example. Which would you use and why?Simple Regression. Identify two variables for which you could calculate a simple regression. Describe the variables and their scale of measurement. Which variable would you include as the predictor variable and which as the outcome variable? Why? What would R2 tell you about the relationship between the two variables?Multiple Regression. Identify at least 3 variables for which you could calculate a multiple regression. Describe the variables and their scale of measurement. Which variables would you include as the predictor variables and which as the outcome variable? Why? Which regression method would you use and why? What would R2 and adjusted R2 tell you about the relationship between the variables?Logistic Regression. Identify at least 3 variables for which you could calculate a logistic regression. Describe the variables and their scale of measurement. Which variables would you include as the predictor variables and which as the outcome variable? Why? Which regression method would you use and why? What would the output tell you about the relationship between the variables?
11 pages
Surge Logical Models
The report mainly focuses upon theoretical and practical applications of two well known mathematical models namely - Surge ...
Surge Logical Models
The report mainly focuses upon theoretical and practical applications of two well known mathematical models namely - Surge Functions, and Logistic ...
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