a sociologist develops a test to measure attitudes about public transportation a

Question

a sociologist develops a test to measure attitudes about public transportation and 27 randomly selected subjects are given their test their mean score is 76.2 and their standard deviation is 21.4 construct the 95% confidence interval for the population standard deviation of the scores of all subjects.

Left: 0:54:29 Cassidy Bailey: Attempt 1 Question 18 (5 points) A sociologist develops a test to measure attitudes about public transportation, and 27 test. Their mean score is 76.2 and their standard deviation is 21.4. Construct t standard deviation of the scores of all subjects. randomly selected subjects are given the the 95% confidence interval for the population O a) 16.6

Explanation / Answer

n =27, df= n-1 = 26
Mean score = 76.2
Stdev = 21.4
95% CI. We refer the Chisquare tables to get the n-1, a/2 value of Chisquares for alpha/2 of .025 and .975 as 31.923 and 13.844.

Hence, the 95% CI is Sigma*sqrt(n-1 / Chisquare-.975,26) to Sigma*sqrt(n-1 / Chisquare - .025,26)

21.4*sqrt((27-1)/41.923) to 21.4*sqrt((27-1)/13.844)

= 16.853 to 28.327 or 16.9 to 29.3

Option C is correct

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