A physiologist was studying the growth of children As part o

A physiologist was studying the growth of children. As part of this research she was interested in estimating the average length (in centimeters) of the legs of children who were 10 years of age. She took a nationally representative random sample of 10 year old children in the U.S. The resulting data was used to produce the following results. Select all that apply:

1.The missing values for the confidence interval for males (AA and BB) should be 32.98 and 47.92.

2. The missing values for the confidence interval for males (AA and BB) should be 32.99 and 33.05.

3. The missing values for the confidence interval for males (AA and BB) should be 32.74 and 33.30.

4. We believe that 95% of all 10 year old girls would have a leg length between 32.75 and 33.87.

5. We believe the average leg length for all 10 year old girls would be between 32.75 and 33.87.

               Average           Std. D. Err.             D.F.         Lower Limit          Upper Limit

Female     33.31                0.281                   75             32.75                   33.87

Male         33.02                0.276                   75               AA                      BB

Solution

Margin of error for females = 33.31 - 32.75 = 0.56

Margin of error for males = (Margin of error for females * Std. Error for males)/(Std. error for females) = 0.56*0.276/0.281 = 0.55

Lower limit,AA = 33.02-0.55 = 32.47

Upper unit , BB = 33.02+0.55 = 33.57

5. We believe the average leg length for all 10 year old girls would be between 32.75 and 33.87.