According to internal testing done by the HardCore Apple Company, the mean firmness of their apples, as measured on the Mohs hardness scale is 7.0, with a standard deviation of 0.3.
a) If the claim by Hardcore is true, what is the mean of the sampling distribution of 
for samples of size n = 16?
b) If the claim by HardCore is true, what is the standard deviation of the sampling distribution of 
for samples of size n = 16?
c) If the distribution of HardCore firmness is approximately normal, and their claim about the mean firmness is true, what is the probability that the mean firmness of a random sample of size n = 16 will be less than 6.9?
Correct Answer:
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