The weights of bunches of bananas in the grocery store are Normally distributed with a mean weight of 3.54 pounds and a standard deviation of 0.64 pounds. A random sample of four bunches is taken and the mean weight is recorded. Which of the following is the standard deviation of the sampling distribution for the mean of all possible samples of size four?
The standard deviation of the sampling distribution of a sample mean is the population standard deviation divided by the square root of the sample size. Here, 0.64 ÷ √4 = 0.64 ÷ 2 = 0.32 pounds, so the correct choice is 0.32.
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