Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hip measurment was 42.3 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 16 jeans and records the following hip measurements, in inches.
44.5,43.0,46.6,42.9,43.7,43.9,42.4,43.2,43.1,44.4,46.1,44.7,44.4,43.9,44.744.5,43.0,46.6,42.9,43.7,43.9,42.4,43.2,43.1,44.4,46.1,44.7,44.4,43.9,44.7
Mallorie plans to use this data to construct a 99% confidence interval for ?μ, the mean hip measurement of women's size 16 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 1.2 in.
The sample mean, ?⎯⎯⎯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 16 jeans? Give your answer precise to two decimal places.