A researcher was interested in comparing the amount of time
spent watching television
by women and by men. Independent simple random samples of 14 women
and 17 men
were selected, and each person was asked how many hours he or she
had watched
television during the previous week. The summary statistics are as
follows:
Women Men .
Sample
Mean 12.9 16.4
Sample
SD 4.0 4.2
Sample
Size 14 17
This sample data is then used to test the claim that the mean time
spent watching
television by women is less than the mean time spent watching
television by men,
using a 0.05 significance level.
Assuming that the population variances are equal, what would we conclude from this test?
Since the p-value is 0.0126, there is evidence that that mean number of hours spent watching TV is less for women than it is for men |
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Since the test statistic t = -2.36 is less than zero, the test is inconclusive |
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The decision is to not reject Ho, which proves that the mean for men is less than or equal to the mean for women. |
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There is sufficient evidence to reject the claim that the mean time spent watching television by women is less than the mean time spent watching television by men. |
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