Mobilefriendly Question A manufacturing process produces ba
 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?
 
 
 Solution
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.

