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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

According to Internal Testing Done by the HardCore Apple Company