A study asked respondents, \"f ever married, how old were you when you first mar

Question

A study asked respondents, "f ever married, how old were you when you first married? The results are summarized in the MINITAB exerpt that folows. Complete parts (a) and (b) below One-Sample T: AGEWED Variable AGEWED 26190 21.980 4554 0028 (21.925, 22.035) N Mean StDev SEMean 95.0% Cl (a) Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval x-D(Type an integer or a dearmal.) (Type an integer or a decimal.) E-(Type an integer or a decimal.) b) Interpret the confidence interval OA, One can be 95% onfident that the mean age of people when first married is 21.980 years OB. There is a 95% probablity that the mean age of people when first married is 21 980 years C. There is a 95% probabiity that tho mean age of people when first maried s between 21 925 and 22.035 years. OD· Or, can be 95% confort tat Po mean age of people when frst married is between 21.925 and 22.035 year.

Explanation / Answer

Use the table to solve the question

a) xbar = Mean = 21.980

E = Z*Sigma/sqrt(n) = 4.554*1.96/sqrt(26190) = .0552

b) The confidence interval is interpreted as:

B and C are wrong. The CI doesn't give a probability. It gives a range
within which we are X% confident our true mean will lie between.

So, D is the right answer

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