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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

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 22CT: How many different ways can 6 people be seated at a round table.
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Professionals Technicians 23 23 18 21 34 24 31 23 28 28 33 25 25 21 27 32 21 21 26 17
Transcribed Image Text:Professionals Technicians 23 23 18 21 34 24 31 23 28 28 33 25 25 21 27 32 21 21 26 17
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
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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