6H13. 4/5

Heavy children: Are children heavier now than they were in the past? The National Health and Nutrition Examination Survey (NHANES) taken between 1999 and 2002 reported that the mean weight of six-year-old girls in the United States was 49.3 pounds. Another NHANES survey, published in 2008, reported that a sample of 191 six-year-old girls weighed between 2003 and 2006 had an average weight of 48 pounds. Assume the population standard deviation is = 16 pounds. Can you conclude that the mean weight of six-year-old girls lower in 2006 than in 2002? Use the a = 0.05 level of significance and the P-value method with the table.

Part 1/5

State the appropriate null and alternate hypotheses.

H0: u = 49.3

H1: u < 49.3

This hypothesis test is a left-tailed test.

Part 2/5

Compute the value of the test statistic. Round the answer to at least two decimal places.

z = -1.12

Part 3/5

Find the P-value. Round the answer to at least four decimal places.

P-value = 0.1314

Part 4/5

Determine whether to reject H0 .

the null hypothesis H0.