Question

NBC claims that viewers spend a daily average of 98.8 minutes watching their content. An advertiser...

NBC claims that viewers spend a daily average of 98.8 minutes watching their content. An advertiser wants to verify this and conducts a poll of 33 random viewers who claim to watch NBC. The poll showed that this group spends a daily average of 88.9 minutes watching NBC with a standard deviation of 20.7 minutes. Use a 0.005 significance level to test the claim that the daily average amount of time NBC viewers watch NBC is less than 98.8 minutes, the average amount claimed by NBC..

Claim: Select an answer u = 98.8 p < 98.8 p ≤ 98.8 u < 98.8 u ≤ 98.8 u ≥ 98.8 p ≠ 98.8 u > 98.8 p > 98.8 p = 98.8 p ≥ 98.8 u ≠ 98.8  which corresponds to Select an answer H1: u < 98.8 H0: p ≥ 98.8 H0: u ≠ 98.8 H0: u = 98.8 H1: u > 98.8 H0: u ≤ 98.8 H1: u ≠ 98.8

Opposite: Select an answer u = 98.8 p ≥ 98.8 p > 98.8 u > 98.8 u ≥ 98.8 u ≤ 98.8 p < 98.8 p ≤ 98.8 p = 98.8 u < 98.8 p ≠ 98.8 u ≠ 98.8  which corresponds to Select an answer H0: p ≥ 98.8 H0: u ≤ 98.8 H1: u < 98.8 H0: u = 98.8 H0: u ≠ 98.8 H1: u > 98.8 H1: u ≠ 98.8

The test is: Select an answer left-tailed two-tailed right-tailed

The test statistic is: Select an answer -2.35 -2.75 -2.62 -2.46 -3.25

The Critical Value is: Select an answer  -2.739  -2.733  -2.899  -2.968  -3.1

Based on this we: Select an answer Reject the null hypothesis Fail to reject the null hypothesis

Conclusion There Select an answer does not does  appear to be enough evidence to support the claim that the daily average amount of time NBC viewers watch NBC is less than 98.8 minutes, the average amount claimed by NBC..

Solution:

1)

Claim: < 98.8

2)

H1: < 98.8

H0: = 98.8

3)

The test is left-tailed .

4)

The test statistics t is given by ..

t =

= (88.9 - 98.8)/(20.7/33)

= -2.75

5)

df = n - 1 = 33 - 1 = 32

= 0.005

For left tailed test , critical value is

2.739

6)

Reject the null hypothesis

7)

There does  appear to be enough evidence to support the claim that the daily average amount of time NBC viewers watch NBC is less than 98.8 minutes, the average amount claimed by NBC..

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