Question

In developing an interval estimate for a population mean, the population standard deviation is assumed to be 8. If the interval estimate is

45.82±2.36, what will be the interval estimate for the population mean if the standard deviation is equal to 16?

A. 45.82±1.18

B. 45.82±4.72

C. 45.82±2.36

D. 45.82±0.59

Answer 1

The interval estimate for the population mean when the standard deviation is equal to 16 is 43.46 to 48.18.

Step-by-step explanation:

To find the interval estimate for the population mean when the standard deviation is equal to 16, we can use the formula:

(sample mean - margin of error, sample mean + margin of error)

Given that the interval estimate for the population mean with a standard deviation of 8 is 45.82±2.36, we can substitute the values into the formula:

(45.82 - 2.36, 45.82 + 2.36)

Simplifying this, we get the interval estimate for the population mean when the standard deviation is equal to 16 as:

43.46 to 48.18