Test #3(Chp. 7-Chp. 8) Intro. to Probability and Statistics (474362) Test: Test

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Test #3(Chp. 7-Chp. 8) Intro. to Probability and Statistics (474362) Test: Test #3(Chp. 7-Chp. 8) Submit Test This Question: 1 pt 12 of 40 This Test: 40 pts possible A simple random sample from a population with a normal distribution of 105 body temperatures has x -98.80°F and s-o 68°F. Construct a 9g% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 2.10°F? Click the icon to view the table of Chi-Square critical values. Round to two decimal places as needed.) ls it safe to conclude that the population standard deviation is less than 2.10 F? O A. This condlusion is not safe because 2.10 F is outside the confidence interval O B. This conclusion is not safe because 2.10 F is in the confidence interval. O C. This conclusion is safe because 2.10 F is outside the confidence interval. O D. This conclusion is safe because 2.10°F is in the confidence interval Click to select your answer(s). Save for Later 4 Previous Next

Explanation / Answer

solution:-
given mean = 98.80 , s^ = 0.68^2 = 0.4624
df = n - 1 = 105 - 1 = 104
X^2 R = 144.9
X^2 L = 70.6
confidence interval for standard deviation formula
= > sqrt((n-1)*s^2 / X^2 R) < ? < sqrt((n-1)*s^2 / X^2 L )
=> sqrt((104)*0.4624 / 144.9 ) < ? < sqrt((104)*0.4624 / 70.6)
=> (0.58 < ? < 0.83 )

is it safe to conclude that the population standard deviation is less than 2.10
option C. this conclusion is safe because 2.10 F is outside the confidence interval

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