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  50  recent prime time airings from both networks have been considered. The first network aired an average of  110.9  commercials during prime with a standard deviation of  4.5 . The second network aired  109.1  commercials with a standard deviation of  4.7 . Since the sample size is quite large, assume that the population standard deviations  4.5  and  4.7  can be estimated using the sample standard deviations. At the  0.1  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,  μ1  is not equal to the average number of commercials aired during prime time by the second station  μ2 ? Perform a two-tailed test.    The null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             The value of the test statistic:(Round to at least three decimal places.)   The two critical values at the  0.1  level of significance:(Round to at least three decimal places.) and Can we support the claim that the mean number of commercials aired during prime time by the first network is not equal to the mean number of commercials aired during prime time by the second network?   Yes     No

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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 

50

 recent prime time airings from both networks have been considered. The first network aired an average of 

110.9

 commercials during prime with a standard deviation of 

4.5

. The second network aired 

109.1

 commercials with a standard deviation of 

4.7

. Since the sample size is quite large, assume that the population standard deviations 

4.5

 and 

4.7

 can be estimated using the sample standard deviations. At the 

0.1

 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, 

μ1

 is not equal to the average number of commercials aired during prime time by the second station 

μ2

? Perform a two-tailed test. 

 
The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The two critical values at the 
0.1
 level of significance:
(Round to at least three decimal places.)
and
Can we support the claim that the mean number of commercials aired during prime time by the first network is not equal to the mean number of commercials aired during prime time by the second network?
 
Yes
 
 
No
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