A sample of 30 boxes of Fruit Loops was chosen and each box was weighed. The mean weight of the sample was 22 ounces with a sample deviation of 0.4 ounces.
a. Construct a 90% confidence interval for the mean weight of the cereal boxes.
b. Construct a 98% confidence interval for the mean weight of the cereal boxes.
c. Explain the difference between the answers for (a) and (b).
d. Imagine that your sample was 50. Construct a 90% confidence interval.
e. Explain the difference between the answers for (a) and (d).
f. What do the 90% and 98% confidence levels mean?
Be specific. Hint: It does not mean that we are 90% or 98% sure that the interval contains the actual population mean. That is close, but is not precise enough.