Question

A

95%

confidence interval of

16.6

months to

49.6

months has been found for the mean duration of imprisonment,

muμ,

of political prisoners of a certain country with chronic PTSD.

a. Determine the margin of error, E.

b. Explain the meaning of E in this context in terms of the accuracy of the estimate.

c. Find the sample size required to have a margin of error of

12

months and a

99%

confidence level. (Use

sigmaσequals=42

months.)d. Find a

99%

confidence interval for the mean duration of imprisonment,

μ,

if a sample of the size determined in part (c) has a mean of

36.1

months.

a. The margin of error is

nothing

months.

(Type an integer or a decimal.)

b. Choose the correct answer below.

A.One can be

95%

confident that the interval

16.6

months to

49.6

months contains the mean duration of imprisonment,

μ,

of the prisoners.

B.One can be

95%

confident that the minimum error made in estimating

muμ

by

x overbarx

is as found in part (a).

C.One can be

95%

confident that the maximum error made in estimating

muμ

by

x overbarx

is as found in part (a).

D.

The average duration of imprisonment is as found in part (a).

c. The required sample size to have a margin of error of

12

months with a

99%

confidence level is

nothing

prisoners.

(Round up to the nearest whole number.)

d. The

99%

confidence interval for the mean duration of imprisonment,

μ,

is from

nothing

months to

nothing

month

Answer #1

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