Question

A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will 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, ¯xx¯?

• According to the law of large numbers, if the sample size, n, increases, ¯xx¯ will tend to be closer to 15 ounces.
• If the population standard deviation increases, the standard deviation of ¯xx¯ will increase.
• If the sample size, n, increases, the standard deviation of will decrease.
• All of the above.

Answer 1

T= 1.0 Answer: Summarized the information given in problem, Given that: mean (1) = 15 Standard deviation The following statements is toue with respect to the sampling distribution of the sample mean, e is → According to the law of looge numbers, if the sample size, n, increases, ce acill tend to be closer to 15 ounces. → If the population standard deviation increases, the este standard will increase. → If the sample size, n, increases, the standard deviation of will increase of the above are correct. Please please kindly Up - vote Thannk you deviation of R ALU