Question

The heights of American men are normally distributed. If a random sample of American men is taken and the confidence interval is (65.3,73.7), what is the sample mean x¯? Give just a number for your answer. For example, if you found that the sample mean was 12, you would enter 12.

Answer 1

69.5

Explanation:

Given the confidence interval of the heights of american heights given as (65.3,73.7);

Lower confidence interval L = 65.3 and Upper confidence interval U = 73.7

Sample mean will be the average of both confidence interval . This is expressed mathematically as
`\overline x = (L+U)/(2)`

`\overline x = (65.3+73.7)/(2)\\\overline x = (139)/(2)\\\overline x = 69.5`

Hence, the sample mean is 69.5