Question

In: Statistics and Probability

Uyen is learning how to cook boba. She is using the same amount of boba precooking...

Uyen is learning how to cook boba. She is using the same amount of boba precooking and weighing the cooked boba every time she makes it. She knows that the weight of the boba varies by σ = .48 pounds. Uyen takes a random sample of 64 batches of boba, and finds for this sample that the mean weight is 2.23 pounds.

a) Check the requirements for a confidence interval.

b) You want to construct a 85% confidence interval. Find zα/2 .

c) Construct the 85% confidence interval to estimate the mean weight of all boba. Round to 2 decimal places.

d) Interpret this interval

e) Consider the some of the same information. Uyen is interested in making a 99% confidence interval, estimating the population mean within .15 pounds. What is the sample size that Uyen should take?

Solutions

Expert Solution

The solution to this problem is given below

Thus in (e) the sample size is 68.

orchestra answered 2 years ago
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