Clothing sizes are not standardized across brands. Suppose that a large study of women's size 6 jeans revealed that the mean hip measurment was 36.9 in with a standard deviation of 0.8 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 8 jeans and records the following hip measurements, in inches.

39.1,38.7,38.7,37.7,38.0, 37.2, 38.1,38.2,37.5,37.3,38.9,37.8,38.6,38.5,38.6

Mallorie plans to use this data to construct a 99% confidence interval for μ, the mean hip measurement of women's size 8 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 0.8 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 8 jeans?

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