Suppose you have a sample size of 50 with a mean 38 and a population standard deviation of 3.3. Based on this, construct a 99% confidence interval for the true population mean.

As in the reading, in your calculations:

--Use z = 1.645 for a 90% confidence interval

--Use z = 2 for a 95% confidence interval

--Use z = 2.576 for a 99% confidence interval.

Give your answers as decimals, to two places

(______,______)

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 75 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 14.9 and a standard deviation of 3.2. What is the 80% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to 4 decimal places.

[______,_______] (Report and round to 4 decimal places)

If n=100 andp^ (p-hat) = 0.72, construct a 95% confidence interval.

As in the reading, in your calculations:

--Use z = 1.645 for a 90% confidence interval

--Use z = 2 for a 95% confidence interval

--Use z = 2.576 for a 99% confidence interval.

Give your answers to three decimals

[____,_______]

Consider a simple poll that is measuring the proportion of citizens that hold a particular political belief. What is a conservative, "worst case scenario" sample size if you want the margin of error to be 3.6%?

Sample Size =_______________

You measure 39 textbooks' weights, and find they have a mean weight of 33 ounces. Assume the population standard deviation is 3.9 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.

Do not use StatCrunch. Show all formulas used, work and steps. Be sure to define your variables.

As in the reading, in your calculations:

--Use z = 1.645 for a 90% confidence interval

--Use z = 1.96 for a 95% confidence interval

--Use z = 2.576 for a 99% confidence interval

Give your answer as aninequalityrounded to one decimal place.Then interpret your answer in a complete sentence within the context of the problem.