[Steps Shown] A recent study stated that U.S. women have a mean height μ of 64.1 inches, and a standard deviation σ of 2.52 inches. A sample of


Question: A recent study stated that U.S. women have a mean height \(\mu \) of 64.1 inches, and a standard deviation \(\sigma \) of 2.52 inches.  A sample of n = 40 Liberty University women had a mean height \(\bar{X}\) of 63.2 inches. Use \(\alpha \) =0.05 significance level to test the claim that this sample is from a population having a mean height equal to 64.1 inches.

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