Suppose that, based on a sample, the 99.7% confidence interval for the mean of a population is (59,95). What is the mean of the

Question

3 years ago

7

sample?

1 answer:

Georgia [21] · Answer 1 · 2021-11-09T20:11:46+03:00

Answer:

mean = 77

Step-by-step explanation:

We have a confidence interval of (59, 95) with a confidence of 99.7 percent

99.7 is 6 standard deviations from the mean, 3 on each side of the mean

mean - 3 sigma = 59

mean + 3 sigma = 95

We can use elimination to eliminate sigma. Add these equations together

mean - 3 sigma = 59

mean + 3 sigma = 95

---------------------------------

2 * mean = 154

Divide each side by 2

2 * mean/2 = 154/2

mean = 77