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 65 recent prime time airings from both networks have been considered. The first network aired a mean of 110.9 commercials during prime time with a standard deviation of 4.3. The second network aired a mean of 109.1 commercials during prime time with a standard deviation of 4.8. Since the sample sizes are quite large, assume that the population standard deviations can be estimated to be equal to the sample standard deviations, 4.3 and 4.8. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean number, u, of commercials aired during prime time by the first station is not equal to the mean number, u,, of commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) Can we support the claim that the mean number of commercials aired during prime time by the first station is not equal to the mean number of commercials aired during prime time by the second station?
 
Yes 
 
No
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 65 recent prime time airings
from both networks have been considered. The first network aired a mean of 110.9 commercials during prime time with a standard deviation of 4.3. The second
network aired a mean of 109.1 commercials during prime time with a standard deviation of 4.8. Since the sample sizes are quite large, assume that the
population standard deviations can be estimated to be equal to the sample standard deviations, 4.3 and 4.8. At the 0.05 level of significance, is there sufficient
evidence to support the claim that the mean number, u,, of commercials aired during prime time by the first station is not equal to the mean number, l, of
commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
Transcribed Image Text: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 65 recent prime time airings from both networks have been considered. The first network aired a mean of 110.9 commercials during prime time with a standard deviation of 4.3. The second network aired a mean of 109.1 commercials during prime time with a standard deviation of 4.8. Since the sample sizes are quite large, assume that the population standard deviations can be estimated to be equal to the sample standard deviations, 4.3 and 4.8. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean number, u,, of commercials aired during prime time by the first station is not equal to the mean number, l, of commercials aired during prime time by the second station? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)
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