Hunter is writing a report on the backgrounds of American presidents. He finds that the mean age of the 45 presidents is 55 years with the standard deviation of 6.59 years. Because Hunter took a statistics course, he calculates a 95% confidence interval for the mean age of all men who have been president to be 55 ± 1.98. Comment on this result.   Question 8 options:   Hunter can be 95% confident that the mean age of all presidents is 55 years.    95% of all the ages of the presidents lie between 55 ± 1.98.   Hunter should have taken a larger sample to reduce the margin of error.   Hunter is 95% confident that the mean age of all presidents lies between 53.02 and 56.98 years.    The confidence interval makes no sense since Hunter has the entire population of ages.

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Hunter is writing a report on the backgrounds of American presidents. He finds that the mean age of the 45 presidents is 55 years with the standard deviation of 6.59 years. Because Hunter took a statistics course, he calculates a 95% confidence interval for the mean age of all men who have been president to be 55 ± 1.98. Comment on this result.

 

Question 8 options:

 

Hunter can be 95% confident that the mean age of all presidents is 55 years. 

 

95% of all the ages of the presidents lie between 55 ± 1.98.

 

Hunter should have taken a larger sample to reduce the margin of error.

 

Hunter is 95% confident that the mean age of all presidents lies between 53.02 and 56.98 years. 

 

The confidence interval makes no sense since Hunter has the entire population of ages. 

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The 95% confidence interval for the mean age of all men who have been president is 55±1.98.

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