10. Data on the differences between the daily production rates after and before a training program for 16 workers were c
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10. Data on the differences between the daily production rates after and before a training program for 16 workers were c
10. Data on the differences between the daily production rates after and before a training program for 16 workers were collected (d = after - before). The sample mean of the difference is 2.5 items. The sample standard deviation of the difference is 4 items. Assume the population of differences is normally distributed. The null hypothesis to be tested is Ho: . Should the null hypothesis be rejected at the 1% level? Should the null hypothesis be rejected at the 5% level? a. Reject at 1%; Reject at 5%. b. Reject at 1%; Do not reject at 5%. c. Do not reject at 1%; Reject at 5%. d. Do not reject at 1%; Do not reject at 5%. Solution: Test statistic: t-stat=. Degree of freedom is n-1 = 15. This is an upper tail test. Therefore, we reject the null hypothesis if t-stat >= Case 1: Hence, we do not reject at 1%. Case 2:
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