# Question

A random sample is drawn from a population with mean

µ =66 and standard deviation σ =5.5.

a. Comment on the sampling distribution of the sample mean with n=16 and n=36.

b. Can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes?

c. Report the probability if you answered yes to the previous question for either sample size.

µ =66 and standard deviation σ =5.5.

a. Comment on the sampling distribution of the sample mean with n=16 and n=36.

b. Can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes?

c. Report the probability if you answered yes to the previous question for either sample size.

## Answer to relevant Questions

A random sample of size n=100 is taken from a population with mean µ =80 and standard deviation σ =14. a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. b. What is the ...The weight of people in a small town in Missouri is known to be normally distributed with a mean of 180 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, "Maximum ...Consider a population proportion p=0.68. a. Calculate the expected value and the standard error of P with n=20. Is it appropriate to use the normal distribution approximation for P? Explain. b. Calculate the expected value ...After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to the recession and increased border enforcement by the United States (Los Angeles Times, September 1, 2010). While its ...Consider a normally distributed population with mean µ =80 and standard deviation σ =14. a. Construct the centerline and the upper and lower control limits for the x chart if samples of size=are used. b. Repeat the ...Post your question

0