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
sample?
1 answer:
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
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Hope this helps
