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The average person spends 5.1 hours a day watching television. A recent sample of 38 people...

The average person spends 5.1 hours a day watching television. A recent sample of 38 people revealed that they spend an average of 4.2 hours a day watching television. The population standard deviation of the number of hours spent watching television is 1.8 hours. Using a 0.10 level of significance, can it be concluded that the average American spends less than 5.1 hours a day watching television? Show your work to receive credit.

Math   Statistics-And-Probability   
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Answer #1

The null and alternative hypothesis is ,

The test is one-tailed test.

Since , the population standard deviation is known.

Therefore , use normal distribution.

The test statistic is ,

The critical value is ,

From Z-table

Rejection rule : Reject Hp , if Z-stat<-1.28

Decision : Here , Z-stat=-3.08<-1.28

Therefore , reject Ho.

Conclusion : Hence , there is sufficient evidence to concluded that the average American spends less than 5.1 hours a day watching television

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