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estebanmff
14.07.2019 •
Mathematics
Assume that the heights of men are normally distributed. a random sample of 16 men have a mean height of 67.5 inches and a standard deviation of 3.2 inches. construct a 99% confidence interval for the population standard deviation, σ.
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Ответ:
Solution: The 99% confidence interval for the population standard deviation is given below:
Ответ:
Step-by-step explanation:
The confidence interval for population standard deviation is given by :-
Given : n = 16
Standard deviation : s = 3.2
Significance level :![\alpha: 1-0.99=0.01](/tpl/images/0088/0978/92b35.png)
Critical values by using chi-square distribution table :-
The 99% confidence interval for the population standard deviation is given by :-
Hence, a 99% confidence interval for the population standard deviation :![2.16\leq\sigma\leq5.78](/tpl/images/0088/0978/763cb.png)
Ответ:
5/8
Step-by-step explanation:
2/16=1/8
4/8+1/8=5/8