a. Mark the following statement as True or False. If you believe that the statem

Question

a. Mark the following statement as True or False. If you believe that the statement is false, briefly explain why you think it is false.

Ninety-five percent z-intervals have the form of a statistic plus or minus 3 standard errors of the statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The statement is true.

B. The statement is false. Ninety-five percent z-intervals have the form of a statistic plus or minus ____ standard error(s) of the statistic. (Type a whole number.)

C. The statement is false. Ninety-five percent z-intervals have the form of the standard error of a statistic plus or minus _____ times the statistic. (Type a whole number.)

b. Mark the following statement True or False. If you believe that the statement is false, briefly explain why you think it is false.

If the sample size is doubled from n=50 to n=100, the length of the confidence interval is reduced by half.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The statement is true.

B. The statement is false. To reduce the length of the confidence interval by half, the sample size must be decreased to ____. (Type a whole number.)

C. The statement is false. To reduce the length of the confidence interval by half, the sample size must be increased to ____. (Type a whole number.)

D. The statement is false. Without more information, it is impossible to determine the sample size required in order to reduce the length of the confidence interval by half.

Explanation / Answer

a) Option - B) 2 standard error of the statistics

b) OPtion - C) Must be increased to 200

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