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A linguist is interested in current baby name trends in Butler County. She is particularly interested in name length. To begin her study, she noted the number of letters in the first names of $375$ randomly selected babies born in Butler County last year. The linguist found a $95\%$ confidence interval of for the mean length of baby names in Butler County last year. $\newline$ Is the following conclusion valid? $\newline$ There is a $95\%$ chance that the mean length of baby names in Butler County last year is in the interval . $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Interpret confidence intervals for population means

Full solution

Q. A linguist is interested in current baby name trends in Butler County. She is particularly interested in name length. To begin her study, she noted the number of letters in the first names of

375

randomly selected babies born in Butler County last year. The linguist found a

95\%

confidence interval of for the mean length of baby names in Butler County last year.

\newline

Is the following conclusion valid?

\newline

There is a

95\%

chance that the mean length of baby names in Butler County last year is in the interval .

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Find Confidence Interval: The linguist found a $95\%$ confidence interval for the mean length of baby names, but the actual interval values are missing in the problem statement. We need those values to make any conclusions.

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