Question

You measure 26 textbooks' weights, and find they have a mean weight of 60 ounces. Assume the population standard deviation is 8.5 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places <u<

Answer 1

The provided sample mean is X = 60 and the population standard deviation is o = 8.5. The size of the sample is n = 26 and the required confidence level is 99%. Based on the provided information, the critical z-value for a = 0.01 is ze = 2.576. The 99% confidence for the population mean is computed using the following expression CI = (x đe X 3 vn 1,8 + sekin) Therefore, based on the information provided, the 99 % confidence for the population mean u is 2.576 x 8.5 CI = 60 60+ 2.576 x 8.5 26 V 26 (60 - 4.294, 60+ 4.294) = (55.706, 64.294)

A 99% confidence interval for true population mean textbook weight is

55.71 < µ < 64.29

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