Question

One factor in low productivity is the amount of time wasted by workers. Wasted time includes time spent cleaning up mistakes, waiting for more material and equipment, and performing any other activity not related to production. In a project designed to examine the problem, an operations-management consultant took a survey of 25 workers in companies that were classified as successful (on the basis of their latest annual profits) and 30 workers from unsuccessful companies. The amount of time (in hours) wasted during a standard 40-hour workweek was recorded for each worker (Data: Productivity). Do these data provide enough evidence at the 1% significance level to infer that the amount of time wasted in unsuccessful firms exceeds that of successful ones? Write the null hypothesis and alternative hypothesis. What is the type of t-test used to make a decision in this case? What are the assumptions for that test. What is your decision? Show your work. Output Summary Hypothesis Test: Independent Groups (t-test, pooled variance) Unsuccessful Successful 7.593 4.908 mean 2.861 1.314 std. dev. 30 25 n 53 df 2.6853 difference (Unsuccessful - Successful) 5.2603 pooled variance 2.2935 pooled std. dev. 0.6211 standard error of difference 0 hypothesized difference 4.324 t 3.40E-05 p-value (one-tailed, upper)

          One factor in low productivity is the amount of time wasted by workers. Wasted time includes time spent cleaning up mistakes, waiting for more material and equipment, and performing any other activity not related to production. In a project designed to examine the problem, an operations-management consultant took a survey of 25 workers in companies that were classified as successful (on the basis of their latest annual profits) and 30 workers from unsuccessful companies. The amount of time (in hours) wasted during a standard 40-hour workweek was recorded for each worker (Data: Productivity). Do these data provide enough evidence at the 1% significance level to infer that the amount of time wasted in unsuccessful firms exceeds that of successful ones?
Write the null hypothesis and alternative hypothesis. What is the type of t-test used to make a decision in this case? What are the assumptions for that test.
What is your decision? Show your work.

Output Summary
Hypothesis Test: Independent Groups (t-test, pooled variance)
Unsuccessful
Successful
7.593
4.908
mean
2.861
1.314
std. dev.
30
25
n
53
df
2.6853
difference (Unsuccessful - Successful)
5.2603
pooled variance
2.2935
pooled std. dev.
0.6211
standard error of difference
0
hypothesized difference
4.324
t
3.40E-05
p-value (one-tailed, upper)

Added by Courtney K.

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