A simple random sample from a population with a normal distribution of 104 body

Question

A simple random sample from a population with a normal distribution of 104 body temperatures has x overbarequals98.30degrees Upper F and sequals0.63degrees Upper F. Construct a 98?% confidence interval estimate of the standard deviation of body temperature of all healthy humans.

lake a lest-conner Heath -Gocqle cnrome ?Serure https://www.mathal erTest.aspx?testld 180013 Math 1635 Summer 2018 Conner Heath 718/18 6:48 PM Quiz: Quiz 3 Submit Qulz This Question: 1 pt 10 of 10 (2 complete) ? This Quiz: 10 pts possible simple random sample from a population with a normal distribution of 104 body temperatures has and s % confidence interval estimate of the standard deviation of body temperature of all healthy humans Click the icon to view the tatble of Chi-Square critical values Round to two decimal places as needed. Enter your answer in each of the answer b oxes. :48 PM O Type here to search

Explanation / Answer

solution:-
given that n = 104 , s = 0.63
98% confidence then ? = 0.01 , with df = 103
X^2 R = 139.3
X ^2 L = 72.57
confidence interval for standard deviation formula is
=> sqrt((n-1)* s^2)/X^2 R < ? < sqrt((n-1)* s^2)/X^2 L)
=> sqrt((103) * 0.3969)/ 139.3) < ? < sqrt((103) * 0.3969) / 72.57)
=> 0.54 < ? < 0.75

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