4. A survey of 35 adult Americans found the mean age (in years) that people would like to live is 87.9 years with a standard deviation of 15.5 years. The population is known to be normally distributed with variance 16. a) Construct a 98% confidence interval for the true mean age Americans want to live. b) Suppose a philosophy professor wishes to test the hypotheses Họ: u = 84 %3D H1: µ # 84 Use your confidence interval from part a to test the null hypothesis at the .02 significance level.

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4. A survey of 35 adult Americans found the mean age (in years) that
people would like to live is 87.9 years with a standard deviation of 15.5
years. The population is known to be normally distributed with variance
16.
a) Construct a 98% confidence interval for the true mean age
Americans want to live.
b) Suppose a philosophy professor wishes to test the hypotheses
Ho: u = 84
H1: u + 84
Use your confidence interval from part a to test the null hypothesis at
the .02 significance level.
Transcribed Image Text:4. A survey of 35 adult Americans found the mean age (in years) that people would like to live is 87.9 years with a standard deviation of 15.5 years. The population is known to be normally distributed with variance 16. a) Construct a 98% confidence interval for the true mean age Americans want to live. b) Suppose a philosophy professor wishes to test the hypotheses Ho: u = 84 H1: u + 84 Use your confidence interval from part a to test the null hypothesis at the .02 significance level.
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