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What is the approximate standard error of estimator

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Reference no: EM132852333

You are interested in knowing the mean # of pages per book in your entire collection of hundreds of books. You randomly sample 40 books from your collection. The sample mean # of pages per book is 300, and the sample standard deviation is 50. Answer the following questions.

(A) (4 pts) What is your estimate?

(B) (6 pts) What is the approximate standard error of your estimator?

(C) (4 pts) What is the degrees of freedom?

(D) (2 pts) Why do you need to know the degrees of freedom?

(E) (10 pts) Construct a 99% confidence interval for your parameter of interest. The value of the t-multiple is 2.7079.

(F) (4 pts) Interpret the confidence interval you estimated in Part (E).

A piano teacher wants to know the mean # of hours her six pupils practice the piano every day. First, she surveys three pupils randomly. Then she collects data for the remaining three pupils as well:

PupilDaily piano practice time, in hrs Abby0.5Bobby1Chris1Danny2Eric0.5Faith1

Answer the following questions. manual calculations into the answer box.

(A) What is the expected value of the unbiased estimator?

(B) What is the standard error of the unbiased estimator?

How should we interpret a 95% confidence interval for the population mean? Explain

(A) We are 95% confident that the population mean falls into the confidence interval.

(B) We are 95% confident that the confidence interval captures the population mean.

(C) We are 95% confident that the confidence interval captures the sample mean.

(D) A and C

(E) B and C

Reference no: EM132852333

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