1.In the article "Drinking Glucose Improves Listening Span in Students Who Miss Breakfast" (Education Research, Vol 43, No 2, pp 201-207), the authors explore the relationship between students who skip breakfast and their performance on a number of cognitive tasks.According to their findings, blood glucose levels in the morning, after a 9 hour fast, have a mean of 4.60 mmol/L with a standard deviation of 0.16 mmol/L.

a.Determine the mean and standard deviation of the sampling distribution for samples of size 15.

b.Determine the mean and standard deviation of the sampling distribution for samples of size 150.

c.Do you need to know that blood glucose levels are normally distributed to answer part a?

d.Do you need to know that blood glucose levels are normally distributed to answer part b?

e.For samples of size 49, what percentage of samples have average blood glucose levels below 4.55 mmol/L.

f.For samples of size 49, what average blood glucose level is the 90^th percentile?