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According to Labor Department statistics, the average U.S. work week shortened from 39 hours in the 1950s and early 1960s to 35 hours in the 1990s. Assume the two statistics are based on independent t samples of 2,500 workers each, and the standard deviations are both 2 hours.
a. Test for significance of change.
b. Give a 95% confidence interval for the difference.
Sketch the distributions involved, and (c) explain your answer to someone who is familiar with the t test for a single sample but not with the t test for independent means.
suppose you wish to test the claim that micro lt 28.3. given a sample of n 86 and a significance of 0.05 what
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Generalizing the solution of Example 9.2, let the call duration T be an exponential (λ) random variable. For t0 > 0, show that the minimum mean square error estimate of T, given that T > t0, is
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Recall that adding a constant causes the mean to change but has no influence on the variability of the sample. In the resulting data the mean differences are much smaller than those in problem 7.
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