# Question

A random sample is drawn from a normally distributed population with mean µ =12 and standard deviation σ =1.5.

a. Comment on the sampling distribution of the sample mean with n=20 and n=40.

b. Can you use the standard normal distribution to calculate the probability that the sample mean is less than 12.5 for both sample sizes?

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

a. Comment on the sampling distribution of the sample mean with n=20 and n=40.

b. Can you use the standard normal distribution to calculate the probability that the sample mean is less than 12.5 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 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 ...Despite its nutritional value, seafood is only a tiny part of the American diet, with the average American eating just 16 pounds of seafood per year. Janice and Nina both work in the seafood industry and they decide to ...Suppose that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16.a. What is the probability that a randomly selected person will have an IQ score of less than 90?b. What is the probability ...At a new exhibit in the Museum of Science, people are asked to choose between 50 or 100 random draws from a machine. The machine is known to have 60 green balls and 40 red balls. After each draw, the color of the ball is ...A recent study finds that companies are setting aside a large chunk of their IT spending for green technology projects (BusinessWeek, March 5, 2009). Two out of three of the large companies surveyed by Deloitte said they ...Post your question

0