Question

A researcher was interested in comparing the amount of time spent watching television by women and...

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

Since the test statistic t = -2.36 is less than zero, the test is inconclusive

The decision is to not reject Ho, which proves that the mean for men is less than or equal to the mean for women.

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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