A. Suppose you have a sample size of 57 with a mean 55 and a population...

A. Suppose you have a sample size of 57 with a mean 55 and a population standard deviation of 12.5. Based on this, construct a 95% confidence interval for the true population mean. Use z = 2 (rather than 1.96) for your calculations.
Give your answers as decimals, to two places
[ , ]

B. You measure 37 textbooks' weights, and find they have a mean weight of 62 ounces. Assume the population standard deviation is 13.6 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Use z = 2 (rather than 1.96) for your calculations.
Give your answers as decimals, to two places
( , )

C. Suppose you have a sample of size 32 with a mean of 72 and a population standard deviation of 6.3. What is the maximal margin of error associated with a 95% confidence interval for the true population mean?
As in the reading, in your calculations, use z = 2.
Give your answer as a decimal, to two places
m = ounces

D. You measure 28 backpacks' weights, and find they have a mean weight of 80 ounces. Assume the population standard deviation is 4.9 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
±± ounces

(Note this is NOT in interval form, so check your answer carefully)

E. You measure the weight of 44 turtles, and find they have a mean weight of 71 ounces. Assume the population standard deviation is 8.8 ounces. Based on this, what is the maximal margin of error associated with a 96% confidence interval for the true population mean turtle weight.

Give your answer as a decimal, to two places

m = ounces

Expert Solution

orchestra answered 2 years ago

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