The average height of students at UH from an SRS of 12 students gave a standard deviation of 2.5 feet. Construct a 95% confidenc
e interval for the standard deviation of the height of students at UH. Assume normality for the data.a. (1.271, 6.245)b. (0.771, 10.245)c. (1.771, 4.245)d. (7.771, 9.245)e. (4.771, 10.245)f. None of the above
You have to estimate the population standard deviation using a 95% confidence interval.
The statistic to use for the interval is a student Chi-Square with n-1 degrees of freedom. First you have to calculate the CI for the population variance:
n=12
S= 2.5
[3.136; 18.016] feet²
Then you calculate the square root of both limits to get the CI for the population standard deviation: