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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 PM. on a weekday. Use the sample data to construct a 90% confidence interval estimate of the population standard deviation.\ 64 65 65 56 65 53 60 59 60 70 58 69\ Click the icon to view the table of Chi-Square critical values.\ The confidence interval estimate is $oxed{}$ mi/h $< \alpha <$ $oxed{}$ mi/h (Round to one decimal place as needed)

          Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 PM. on a weekday. Use the sample data to construct a 90% confidence interval estimate of the population standard deviation.\
64 65 65 56 65 53 60 59 60 70 58 69\
Click the icon to view the table of Chi-Square critical values.\
The confidence interval estimate is $oxed{}$ mi/h $< \alpha <$ $oxed{}$ 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 PM. on a weekday. Use the sample data to construct a 90% confidence interval estimate of the population standard deviation.\
64 65 65 56 65 53 60 59 60 70 58 69Click the icon to view the table of Chi-Square critical values.The confidence interval estimate is oxed mi/h < α < oxed mi/h (Round to one decimal place as needed)

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Listed beiow are speeds (m/hmesurad from tric on a busy hgway.This simple random ssmple was obisined at 3:30 RM.on a wekayUse the sample dat to construct a 90 confldence interval estimate of the population standard devation. 646565 56 65536059 Click e icon to view the tble of Chi-Square crticalvales The contidence intervat estimate mi/hmi (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 95 % confidence interval estimate of the population standard deviation. 61 63 63 57 63 54 60 59 60 69 58 68 The confidence interval estimate is mi/h less than sigma less than mi/h. (Round to one decimal place as needed.)

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Transcript

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00:01 Hello students for the given data sample size n is equal to 12 sample variance s square is equal to 16 .0606 alpha is equal to 0 .02 now 100 into 1 minus alpha percentage confidence interval of population standard deviation that is sigma is given as square root of n minus 1 s square divided by chi square with alpha by 2 in the lower limit and upper limit is square root of n minus 1 s square divided by chi square 1 minus alpha by 2.
01:02 So here degree of freedom is equal to n minus 1 that is equal to 11 now for 98 percentage confidence interval that is alpha is equal to 0 .02 chi square alpha by 2 that is chi square 0 .02 divided by 2 value is 24 .725 and chi square 1 minus alpha by 2 value is chi square 1 minus 0 .02 divided by 2 value is equal to 3 .0535 now therefore 98 percentage confidence interval for population standard deviation sigma is square root of 12 minus 1 into 16 .0606 divided by 24 .725 and upper limit is 12 minus 1 into 16 .0606 divided by 3 .0535 this is equal to the lower limit is 2 .6731 and upper limit is 7 .6064 hence 2 .6731 meter per hour less than sigma less than 7 .6064 meter per hour...
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