Clothing sizes are not standardized across brands. Suppose that a large study of women's size 4 jeans revealed that the mean hip measurement was 35.8 in with a standard deviation of 0.7 in. As part of a project for a fashion merchandising class, Mallorie selects a simple random sample of 15 pairs of women's size 6 jeans and records the following hip measurements, in inches.
38.3,36.8,37.0,37.0,37.4,37.1,36.8, 37.9,36.8,36.1,36.5,37.8,36.7,36.6, 37.138.3,36.8,37.0,37.0,37.4,37.1,3 6.8,37.9,36.8,36.1,36.5,37.8,36.7,3 6.6,37.1
Mallorie plans to use this data to construct a 90% confidence interval for μ, the mean hip measurement of women's size 6 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 0.7 in.
The sample mean, x⎯⎯⎯x¯, is the point estimate for a confidence interval to estimate a population mean. What is the mean hip measurement for the random sample of 15 pairs of women's size 6 jeans? Give your answer precise to two decimal places.
1. What is the mean hip measurement for the random sample of 15 pairs of women's size 6 jeans? Give your answer precise to two decimal places.
2. What is the margin of error for Mallorie's confidence interval? Give your answer precise to two decimal places.