Which of the following statements are true? Note that there may be more than one correct answer; select all that may be true. 1. As the sample size decreases, the precision of the point estimator of the parameter increases. 2. As the standard error of the point estimator of the parameter increases, the width of the confidence interval also increases. 3. Assuming the standard deviation stays constant, the margin of error increases as the sample size increases. 4. One of the assumptions on which confidence intervals are based is that the sample obtained is a simple random sample from the population of interest. 5. The margin of error, also sometimes known as the error bound, provides an upper limit on the difference between the estimated value of a parameter and its true value, for a given level of confidence.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Which of the following statements are true?

Note that there may be more than one correct answer; select all that may be true.

   

1. As the sample size decreases, the precision of the point estimator of the parameter increases.

   

2. As the standard error of the point estimator of the parameter increases, the width of the confidence interval also increases.

   

3. Assuming the standard deviation stays constant, the margin of error increases as the sample size increases.

   

4. One of the assumptions on which confidence intervals are based is that the sample obtained is a simple random sample from the population of interest.

   

5. The margin of error, also sometimes known as the error bound, provides an upper limit on the difference between the estimated value of a parameter and its true value, for a given level of confidence.

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