In: Statistics and Probability
In a certain factory they conducted a study to compare the mean
productivity of the day shift workers with the mean productivity of
the night shift workers. (The productivity is measured in
units.)
A sample of 42 day shift workers gave a sample mean of 68, and a
sample standard deviation of 15.
A sample of 33 night shift workers gave a sample mean of 63, and a
sample standard deviation of 8.
(a) Obtain the 95% confidence interval for the difference between
the means.
The 95% confidence interval is:
(b) At significance level 0.04, can we conclude that the two shifts
really differ in terms of average productivity?
The test statistics =
Critical value =
Conclusion by critical value:
P-value =
The conclusion is (definite / borderline)