The weights of bunches of bananas in the grocery store are Normally distributed with a mean weight of 3 point 5 4 pounds and a standard deviation of 0 point 6 4 pounds. A random sample of four bunches is taken and the mean weight is recorded. Which of the following is the mean of the sampling distribution for the mean of all possible samples of size four?

The mean of the sampling distribution of the sample mean equals the population mean, regardless of the sample size. Here, the population mean is 3.54 pounds, so the sampling distribution also has a mean of 3.54 pounds. The standard deviation affects the spread of sample means, not their mean; therefore, the correct choice is 3.54.

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