A Human Resource director of a large company wants to investigate if professional staff takes longer coffee breaks than their technical counterparts. She takes a random sample of 10 professionals and another sample of 10 technicians in the company and determines via their supervisors the amount of time (in minutes) they spent for the coffee breaks during a specific day. The results are available in the Assign2Data.xlsx file., answer the following questions. (a) Assess whether the assumptions/conditions for performing a two-sample t-test to compare break time between the two groups of employees are warranted (justify your answers). (b) Irrespective of your answer in (a) above, test at 5% level of significance whether the professional employees take longer coffee breaks than their technical counterparts. Assume the two population variances are the same and use both the critical value and p- value approaches (using approximate values from t distribution table). Show all the steps of your hypothesis test (hypotheses, significance level, test statistic, decision criteria, critical value, p-value, decision with justification). (Manual Calculations) (c) Build an appropriate confidence interval to support your results in (b) ahove; is this confidence interval consistent with your conclusion? (Manual Calculations) 1 (d) Irrespective of your answer in (b) above, now perform an appropriate nonparametric test at a 5% level of significance. Clearly state hypotheses, significance level, test statistic, decision criteria and conclusion. Also, verify your calculations with StatCrunch output. (Manual Calculations and StatCrunch output) (e) Which test is more appropriate in this situation? Justify your answe
A Human Resource director of a large company wants to investigate if professional staff takes longer coffee breaks than their technical counterparts. She takes a random sample of 10 professionals and another sample of 10 technicians in the company and determines via their supervisors the amount of time (in minutes) they spent for the coffee breaks during a specific day. The results are available in the Assign2Data.xlsx file., answer the following questions. (a) Assess whether the assumptions/conditions for performing a two-sample t-test to compare break time between the two groups of employees are warranted (justify your answers). (b) Irrespective of your answer in (a) above, test at 5% level of significance whether the professional employees take longer coffee breaks than their technical counterparts. Assume the two population variances are the same and use both the critical value and p- value approaches (using approximate values from t distribution table). Show all the steps of your hypothesis test (hypotheses, significance level, test statistic, decision criteria, critical value, p-value, decision with justification). (Manual Calculations) (c) Build an appropriate confidence interval to support your results in (b) ahove; is this confidence interval consistent with your conclusion? (Manual Calculations) 1 (d) Irrespective of your answer in (b) above, now perform an appropriate nonparametric test at a 5% level of significance. Clearly state hypotheses, significance level, test statistic, decision criteria and conclusion. Also, verify your calculations with StatCrunch output. (Manual Calculations and StatCrunch output) (e) Which test is more appropriate in this situation? Justify your answe
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Professionals Technicians
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Transcribed Image Text:A Human Resource director of a large company wants to investigate if professional staff
takes longer coffee breaks than their technical counterparts. She takes a random sample
of 10 professionals and another sample of 10 technicians in the company and determines
via their supervisors the amount of time (in minutes) they spent for the coffee breaks
during a specific day. The results are available in the Assign2Data.xlsx file., answer the
following questions.
(a) Assess whether the assumptions/conditions for performing a two-sample t-test to
compare break time between the two groups of employees are warranted (justify your
answers).
(b) Irrespective of your answer in (a) above, test at 5% level of significance whether the
professional employees take longer coffee breaks than their technical counterparts.
Assume the two population variances are the same and use both the critical value and p-
value approaches (using approximate values from t distribution table). Show all the steps
of your hypothesis test (hypotheses, significance level, test statistic, decision criteria,
critical value, p-value, decision with justification). (Manual Calculations) ****
(c) Build an appropriate confidence interval to support your results in (b) ahove; is this
confidence interval consistent with your conclusion? (Manual Calculations) 1
(d) Irrespective of your answer in (b) above, now perform an appropriate nonparametric
test at a 5% level of significance. Clearly state hypotheses, significance level, test
statistic, decision criteria and conclusion. Also, verify your calculations with StatCrunch
output. (Manual Calculations and StatCrunch output)
(e) Which test is more appropriate in this situation? Justify your answe
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