Listed below are speeds​ (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at​3:30 P.M. on a weekday. Use the sample data to construct a 98​% confidence interval estimate of the population standard deviation. A. The confidence interval estimate is   ​mi/hless than sigma less than  mi/h. ​(Round to one decimal place as​ needed.)

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Listed below are speeds​ (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at​3:30 P.M. on a weekday. Use the sample data to construct a 98​% confidence interval estimate of the population standard deviation.

A. The confidence interval estimate is   ​mi/hless than sigma less than  mi/h.

​(Round to one decimal place as​ needed.)
61 65
65
57
65 52 60 59
60
70
59 68
Transcribed Image Text:61 65 65 57 65 52 60 59 60 70 59 68
Expert Solution
Step 1

Given that the data of speed measured from traffic on busy highway.

Xi
61
65
65
57
65
52
60
59
60
70
59
68

The confidence level is 0.98.

The formula for the sample mean: X=i=1nxin.

The formula for the sample standard deviation: s=i=1nxi-Xn-1.

The sample size is n=12.

The confidence interval for population standard deviation is  (n-1)s2χα22<σ<(n-1)s2χ1-α22

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