One hundred eight Americans were surveyed to determine the number of hours they

Question

One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal.

Which distribution should you use for this problem?

normal

student t-distribution

neither

5 points

Question 13

One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 27 hours. Assume that the underlying population distribution is normal.

Calculate the EBM.Use a 99% Confidence Level

Round to two decimal places.

5 points

Question 14

One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal.

Construct a 99% confidence interval for the population mean hours spent watching television per month.

Fill in the blank: Round to two decimal places. (Blank 1 , Blank 2 )

normal

student t-distribution

neither

Explanation / Answer

Ans:

Normaldistribution(sample size is large enough i.e. n>=30 for central limit theorm to be applicable)

13)

sample mean=151

standard deviation=27 (we can estimate population standard deviation from sample std dev. if sample size is very large)

z value for 99% CI is 2.58

n=108

EBM or magin of error=2.58*27/sqrt(108)=6.70

14)

99% Confidence interbal

=151+/-2.58*32/sqrt(108)

=151+/-7.94

=(143.06,158.94)

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