Question 1

Define unbiasedness.

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Question 2

Define relative efficiency.

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Question 3

Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

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Question 4

As the bound on the error of estimation decreases, the sample size ____________________.

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Question 5

When determining the required sample size for a confidence interval, you need to know the population ____________________, the confidence ____________________, and the ____________________ on the error of estimation.

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Question 6

The error of estimation is the ____________________ between an estimator and the parameter.

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Question 7

Define consistency.

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Question 8

Because n is an integer and we want the bound on the error of estimation to be no more than a given amount, any non-integer value found for n must always be rounded ____________________.

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Question 9

If the population standard deviation is guesstimated, and it turned out to be larger than you assumed, then the sample size you calculated is ____________________ than it needs to be.

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Question 10

If the bound on the error of estimation decreases, the sample size ____________________.

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Question 11

The bound on the error of estimation is the ____________________ amount of sampling error that we are willing to tolerate.

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Question 12

If the population standard deviation is guesstimated, and it turned out to be smaller than you assumed, then the sample size you calculated is ____________________ than it needs to be.

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Question 13

Draw a sampling distribution of a biased estimator for m .

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Question 14

Explain briefly why interval estimators are preferred to point estimators.

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Question 15

Is the sample mean a consistent estimator of the population mean? Explain

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Question 16

Draw sampling distributions of a consistent estimator for m where one sample mean is larger than the other.

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Question 17

Draw the sampling distribution of two unbiased estimators for m , one of which is relatively efficient.

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Question 18

A random sample of 10 university students was surveyed to help estimate the average amount of time students spent per week on their computers. The student hours spent using a personal computer over a randomly selected week were 13, 14, 5, 6, 8, 10, 7, 12, 15, 3. 
 a. Find an unbiased estimator of the average time per week for all university students. 
 b. Find an unbiased estimator of the variance. 
 c. Find a consistent estimator of the average time per week for all university students.

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Question 19

Draw a sampling distribution of an unbiased estimator for m .

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Question 20

The sampling error for a confidence interval is also defined as the ____________________ of ____________________.

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Quiz 9: Introduction to Estimation