A random sample of n 64 observations has a mean 29 1 and a standard deviation s 3 9 a Give the point estimate of the population mean and find the margin of error for your estimate b Find a 90 confidence interval for What does 90 confident mean c Find a 90 lower confidence bound for the population mean Why is this bound different from the lower confidence limit in part b d How many observations do you need to estimate to within 5, with probability equal to 95

Question: A random sample of n = 64 observations has a mean = 29.1 and a standard deviation s = 3.9. a. Give the point

A random sample of n = 64 observations has a mean = 29.1 and a standard deviation s = 3.9.
a. Give the point estimate of the population mean µ and find the margin of error for your estimate.
b. Find a 90% confidence interval for µ. What does "90% confident" mean?
c. Find a 90% lower confidence bound for the population mean µ. Why is this bound different from the lower confidence limit in part b?
d. How many observations do you need to estimate µ to within .5, with probability equal to .95?

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