Question

# Use the following to answer the next question. Do government employees take longer coffee breaks than...

Use the following to answer the next question. Do government employees take longer coffee breaks than private sector workers? That is a question that interested a management consultant. To examine the issue, he took a random sample of ten government employees and another random sample of ten private sector workers and measured the amount of time (in minutes) they spent in coffee breaks during the day (the samples are assumed to be independent).

PS: Relevant outputs are given below; please refer to them in order to answer the following questions.

Variable 1: Government Employees

Variable 2: Private Sector Employees

 F-Test Two-Sample for Variances Variable 1 Variable 2 Mean 27.2 21.5 Variance 29.28888889 13.16666667 Observations 10 10 df 9 9 F 2.224472574 P(F<=f) one-tail 0.124675612 F Critical one-tail 3.178893104
 t-Test: Two-Sample Assuming Equal Variances Variable 1 Variable 2 Mean 27.2 21.5 Variance 29.28888889 13.16666667 Observations 10 10 Pooled Variance 21.22777778 Hypothesized Mean Difference 0 df ? t Stat ? P(T<=t) one-tail ? t Critical one-tail ? P(T<=t) two-tail ? t Critical two-tail ?
 t-Test: Two-Sample Assuming Unequal Variances Variable 1 Variable 2 Mean 27.2 21.5 Variance 29.28888889 13.16666667 Observations 10 10 Hypothesized Mean Difference 0 df 16 t Stat ? P(T<=t) one-tail ? t Critical one-tail ? P(T<=t) two-tail ? t Critical two-tail ?
 t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 27.2 21.5 Variance 29.28888889 13.16666667 Observations 10 10 Pearson Correlation 0.226322699 Hypothesized Mean Difference 0 df ? t Stat 3.11 P(T<=t) one-tail ? t Critical one-tail ? P(T<=t) two-tail ? t Critical two-tail ?

Do the data provide sufficient evidence at the 5% significance level to support the consultant’s claim? State the null and alternative hypotheses.

a) H0: µ(government) - µ(private) = 0, Ha: µ(government) - µ(private) < 0

b)H0: µ(government) - µ(private) = 0, Ha: µ(government) - µ(private) > 0

c)H0: µ(government) - µ(private) = 0, Ha: µ(government) - µ(private) ≠ 0

d)H0: µ(government) - µ(private) ≠ 0, Ha: µ(government) - µ(private) = 0

b)H0: µ(government) - µ(private) = 0, Ha: µ(government) - µ(private) > 0

 1 2 27.2 21.5 mean 5.411931263 3.628636107 std. dev. 10 10 n 18 df 5.7000 difference (1 - 2) 21.2280 pooled variance 4.6074 pooled std. dev. 2.0605 standard error of difference 0 hypothesized difference 2.766 t .0064 p-value (one-tailed, upper)

Please give me a thumbs-up if this helps you out. Thank you!

#### Earn Coins

Coins can be redeemed for fabulous gifts.