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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.
PUB 550 GCU W4 T Test Application in SPSS Discussion
The purpose of this assignment is to learn how to apply the t-test to a sample dataset.For this assignment, students will ...
PUB 550 GCU W4 T Test Application in SPSS Discussion
The purpose of this assignment is to learn how to apply the t-test to a sample dataset.For this assignment, students will use IBM SPSS Statistics and the "Example Dataset."Using the "Example Dataset" and SPSS, apply the t-test to assess the following statement: "Men and women have different incomes in this city."Show your calculations and copy of the SPSS output in a Word document.In a separate 250-500 Word document, address the following questions:Describe what t-test is the most appropriate and explain why. Discuss whether you used a one-tailed or two-tailed test and explain why.Using SPSS, calculate the t-test and provide the test statistic and critical value assuming an alpha of .05.Calculate the effect size using r2.Interpret the results by (a) stating the reason the study or test was done, (b) presenting the main results, (c) explaining what the results mean, and (d) making suggestions for future research.Submit both Word documents to the instructor.APA style is not required, but solid academic writing is expected.This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.You are not required to submit this assignment to LopesWrite.
MTHH 071 UNHS Use a Graphing Calculator to Plot the Data and Sketch Model Ques
Need this done well and quickly, answers MUST be shown for each question (handwritten). Please send me a PDF of the comple ...
MTHH 071 UNHS Use a Graphing Calculator to Plot the Data and Sketch Model Ques
Need this done well and quickly, answers MUST be shown for each question (handwritten). Please send me a PDF of the completed work. Thank you in advance!
19 pages
statistics Neyman-Pearson Lemma
Define the likelihood ratio statistic by where is the probability mass function or probability density function of the da ...
statistics Neyman-Pearson Lemma
Define the likelihood ratio statistic by where is the probability mass function or probability density function of the data X.The statistic L takes on the value when
sampling and error practice, algebra homework help
Accurately answer all of the following questions. Be sure to double check all work.Which of the following situations coul ...
sampling and error practice, algebra homework help
Accurately answer all of the following questions. Be sure to double check all work.Which of the following situations could be used to produce an unbiased random sample?Surveying students in a college psychology class to find out preferred majors of students at that school.Asking people at the local supermarket what their favorite brand of ice cream is to find out what the preferred brand of ice cream is in that city.Survey every tenth audience member leaving the American Country Music Awards and ask what their favorite type of music is.Finding the heights of all 9th grade female students at a high school and using it to determine the average height of all girls at the school.==================Which of the following situations would not produce an unbiased random sample?Send a survey to students at an online private high school to find out how many students use the computer to do school work.Asking every twentieth person on a list of registered voters to determine which political candidate is favored.Ask every tenth person in 12th grade at Jacaranda high school to find out the favorite TV show for seniors at that school.Survey 2 teachers in each subject at Bluefort High School to find out how many had graduate degrees.============================Find the margin of error if p = 71% and n = 100. Round to four decimal places.0.22040.00410.08480.0908---------------------------Find the margin of error if p = 65% and n = 500. Round to four decimal places.0.04270.09260.00090.0414====================A poll asked people to name the most serious problem facing the country. forty-three percent of the 900 randomly selected people said crime. What is the margin of error? Round to four decimal places.0.01650.03300.02610.0523===================According to a recent poll, 40% of shoppers planned to spend $1000 or more during a holiday season. The margin of error was 4%. How many people were surveyed?6003814001000==============One hundred people were asked whether they would vote for Candidate A or Candidate B in an upcoming election. More people said they would vote for Candidate A. How many said they would vote for Candidate A if the margin of error was 8.4%.92%8%77%23%=================Five-hundred ten of 650 high school students said that pizza was their favorite food in the school cafeteria. What is the margin of error? Round to four decimal places.0.00050.00030.01610.0322==============Complete the sentence with the best answer.When p stays the same but the sample size increases, the Margin of Error ___?___.increasesdecreasesstays the sameall of the above.===============In a recent survey 45% of students at a local high school said they love chocolate ice cream. If the margin of error was 4.3%, about how many students were surveyed?973 students535 students133 students243 students
Excelsior College PBH 592 Histogram in SPSS Paper
In this exercise, refer to the Framingham dataset and select a continuous variable. Select a variable and create a histogr ...
Excelsior College PBH 592 Histogram in SPSS Paper
In this exercise, refer to the Framingham dataset and select a continuous variable. Select a variable and create a histogram using the "Histogram in SPSS" video tutorial.
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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.
PUB 550 GCU W4 T Test Application in SPSS Discussion
The purpose of this assignment is to learn how to apply the t-test to a sample dataset.For this assignment, students will ...
PUB 550 GCU W4 T Test Application in SPSS Discussion
The purpose of this assignment is to learn how to apply the t-test to a sample dataset.For this assignment, students will use IBM SPSS Statistics and the "Example Dataset."Using the "Example Dataset" and SPSS, apply the t-test to assess the following statement: "Men and women have different incomes in this city."Show your calculations and copy of the SPSS output in a Word document.In a separate 250-500 Word document, address the following questions:Describe what t-test is the most appropriate and explain why. Discuss whether you used a one-tailed or two-tailed test and explain why.Using SPSS, calculate the t-test and provide the test statistic and critical value assuming an alpha of .05.Calculate the effect size using r2.Interpret the results by (a) stating the reason the study or test was done, (b) presenting the main results, (c) explaining what the results mean, and (d) making suggestions for future research.Submit both Word documents to the instructor.APA style is not required, but solid academic writing is expected.This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.You are not required to submit this assignment to LopesWrite.
MTHH 071 UNHS Use a Graphing Calculator to Plot the Data and Sketch Model Ques
Need this done well and quickly, answers MUST be shown for each question (handwritten). Please send me a PDF of the comple ...
MTHH 071 UNHS Use a Graphing Calculator to Plot the Data and Sketch Model Ques
Need this done well and quickly, answers MUST be shown for each question (handwritten). Please send me a PDF of the completed work. Thank you in advance!
19 pages
statistics Neyman-Pearson Lemma
Define the likelihood ratio statistic by where is the probability mass function or probability density function of the da ...
statistics Neyman-Pearson Lemma
Define the likelihood ratio statistic by where is the probability mass function or probability density function of the data X.The statistic L takes on the value when
sampling and error practice, algebra homework help
Accurately answer all of the following questions. Be sure to double check all work.Which of the following situations coul ...
sampling and error practice, algebra homework help
Accurately answer all of the following questions. Be sure to double check all work.Which of the following situations could be used to produce an unbiased random sample?Surveying students in a college psychology class to find out preferred majors of students at that school.Asking people at the local supermarket what their favorite brand of ice cream is to find out what the preferred brand of ice cream is in that city.Survey every tenth audience member leaving the American Country Music Awards and ask what their favorite type of music is.Finding the heights of all 9th grade female students at a high school and using it to determine the average height of all girls at the school.==================Which of the following situations would not produce an unbiased random sample?Send a survey to students at an online private high school to find out how many students use the computer to do school work.Asking every twentieth person on a list of registered voters to determine which political candidate is favored.Ask every tenth person in 12th grade at Jacaranda high school to find out the favorite TV show for seniors at that school.Survey 2 teachers in each subject at Bluefort High School to find out how many had graduate degrees.============================Find the margin of error if p = 71% and n = 100. Round to four decimal places.0.22040.00410.08480.0908---------------------------Find the margin of error if p = 65% and n = 500. Round to four decimal places.0.04270.09260.00090.0414====================A poll asked people to name the most serious problem facing the country. forty-three percent of the 900 randomly selected people said crime. What is the margin of error? Round to four decimal places.0.01650.03300.02610.0523===================According to a recent poll, 40% of shoppers planned to spend $1000 or more during a holiday season. The margin of error was 4%. How many people were surveyed?6003814001000==============One hundred people were asked whether they would vote for Candidate A or Candidate B in an upcoming election. More people said they would vote for Candidate A. How many said they would vote for Candidate A if the margin of error was 8.4%.92%8%77%23%=================Five-hundred ten of 650 high school students said that pizza was their favorite food in the school cafeteria. What is the margin of error? Round to four decimal places.0.00050.00030.01610.0322==============Complete the sentence with the best answer.When p stays the same but the sample size increases, the Margin of Error ___?___.increasesdecreasesstays the sameall of the above.===============In a recent survey 45% of students at a local high school said they love chocolate ice cream. If the margin of error was 4.3%, about how many students were surveyed?973 students535 students133 students243 students
Excelsior College PBH 592 Histogram in SPSS Paper
In this exercise, refer to the Framingham dataset and select a continuous variable. Select a variable and create a histogr ...
Excelsior College PBH 592 Histogram in SPSS Paper
In this exercise, refer to the Framingham dataset and select a continuous variable. Select a variable and create a histogram using the "Histogram in SPSS" video tutorial.
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