Question: A study takes a simple random sample from a population of full-term infants. The standard deviation of birth weights in this population is 2 pounds.

A study takes a simple random sample from a population of full-term infants. The standard deviation of birth weights in this population is 2 pounds.

a)Calculate the 90% confidence interval for for samples in which n = 81 and x= 6.1 pounds.

b)Calculate the 95% confidence interval for for samples in which n = 36 and x= 7.0 pounds

c)Calculate the 99% confidence interval for for samples in which n = 9 and x= 5.8 pounds.

d)For the same study, would 90% and 99% confidence intervals in which n = 9 and x= 5.8 pounds be the same or different. Explain your answer.

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