# Question: In a survey of 35 adult Americans it was found

In a survey of 35 adult Americans, it was found that the mean age (in years) that people would like to live to is 87.9 with a standard deviation of 15.5.An analysis of the raw data indicates the distribution is skewed left.

(a) Explain why a large sample size is necessary to construct a conﬁdence interval for the mean age that people would like to live.

(b) Construct and interpret a 95% conﬁdence interval for the mean.

(c) How many adult Americans would need to be surveyed to estimate the mean age that people would like to live to within 2 years with 95% conﬁdence?

(a) Explain why a large sample size is necessary to construct a conﬁdence interval for the mean age that people would like to live.

(b) Construct and interpret a 95% conﬁdence interval for the mean.

(c) How many adult Americans would need to be surveyed to estimate the mean age that people would like to live to within 2 years with 95% conﬁdence?

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