(Steps Shown) The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks


Question: The historical reports from two major networks showed that the mean number of commercials aired during prime time was equal for both networks last year. In order to find out whether they still air the same number of commercials on average or not, random and independent samples of 85 recent prime time airings from both networks have been considered. The first network aired an average of 111.1 commercials during prime with a standard deviation of 4.9. The second network aired 108.9 commercials with a standard deviation of 4.9. Since the sample size is quite large, assume that the population standard deviations 4.9 and 4.9 can be estimated using the sample standard deviations. At the 0.01 level of significance, is there sufficient evidence to support the claim that the average number of commercials aired during prime time by the first station, \({{\mu }_{1}}\) is not equal to the average number of commercials aired during prime time by the second station \({{\mu }_{2}}\) ? Perform a two-tailed test. Then fill in the table below.

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