The weight of a group of women has a population mean mu of 1

The weight of a group of women has a population mean, mu, of 129 pounds and a population standard deviation, g: of 16 pounds. The distribution is right-skewed. Suppose a random sample is taken of 100 of these women\'s weights. Complete parts a and b below. What value should we expect for the mean weight of this sample of 100 women? Why? The expected mean weight is about 127.4 pounds, because the sample mean gets smaller with larger sample size. The expected mean weight is about 130.6 pounds, because the distribution is right-skewed. The expected mean weight is about 130.6 pounds, because the sample mean is an unbiased estimator of the population mean. The expected mean weight is about 129 pounds, because the sample mean is an unbiased estimator of the population mean. The actual sample mean will not be exactly the value determined in part a. The amount it typically differs from this value is given by the standard error. What is the standard error for a sample mean taken from this population? The standard error of the sample mean is pounds. (Type an integer or a decimal.)

Solution

a)

OPTION D: The expected mean is about 129 pounds, because the sample mean is an unbiased estimator of the population mean.

b)

standard error = sigma / sqrt(n) = 16/sqrt(100) = 1.6 [answer]