Question

A nutritionist wants to determine how much time nationally people spend eating and drinking. The record shows that the mean was 1.5 hours. Suppose for a random sample of 921 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.62 hours with a standard deviation of 0.71 hour.

Does the C.I. suggest a different population mean?

		No. The sample suggested that the population mean was 1.5 hours.
		No. The sample suggested that the population mean was 1.62 hours.
		The conclusion cannot be decided.
		Yes. The sample suggested that the population mean was not 1.62 hours.
		Yes. The sample suggested that the population mean was not 1.5 hours.

Answer 1

Given : Sample size=n=921

Sample mean=

Sample standard deviation=s=0.71

Population mean =

Assume , Significance level=

Therefore , the 95% confidence interval is ,

Here , the value does not lies in the 95% confidence interval.

Therefore , the C.I. suggest that the population mean is different from 1.5.

Correct option : Yes. The sample suggested that the population mean was not 1.5 hours.