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Mobile-friendly - Question: A manufacturing process produces bags of cookies. Th

ID: 3442373 • Letter: M

Question

Mobile-friendly - Question: A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 16oz and standard deviation 0.8oz.we randomly select n bags of cookies and weigh the contents of each bag selected.which of the following statements is true with respect to the sampling distribution of the sample mean x?

Mobile-friendly - Question: A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 16oz and standard deviation 0.8oz.we randomly select n bags of cookies and weigh the contents of each bag selected.which of the following statements is true with respect to the sampling distribution of the sample mean x?


Explanation / Answer

Which of the following statements in true with respect to the sampling distribution of the sample mean, x bar?

a) if the sample size, n, increases, the standard deviation of x bar will decrease.
b) if the population standard deviation increases, the standard deviation of x bar will increase
c) according to the law of large numbers, if the sample size, n, increases x bar will tend to be closer to 16 ounces
d) all of the above

All the options are correct with respect to the sampling distribution of the sample mean x.