Question

In: Statistics and Probability

Use technology to construct the confidence intervals for the population variance σsquared2 and the population standard...

Use technology to construct the confidence intervals for the population variance σsquared2 and the population standard deviation sigmaσ.

Assume the sample is taken from a normally distributed population.

c=0.99, s=33​, n=16

a) The confidence interval for the population variance is (_,_) ??

b) The confidence interval for population standard deviation is (_,_) ??

Please explain how you got these answers for a thumbs up!! Thanks :)

Solutions

Expert Solution

a)

Confidence interval for 2 is

(n-1) S2 / /2 < 2 < (n-1) S2 / 1-/2

(16 - 1) * 332 / 32.801 < 2 < (16-1) * 332 / 4.601

498.003 <  2 < 3550.315

99% C I for  2 is ( 498.003 , 3550.315)

b)

Confidence interval for is

Sqrt [ (n-1) S2 / /2 ] < < Sqrt [(n-1) S2 / 1-/2 ]

Sqrt [ (16 - 1) * 332 / 32.801 ] < < [ (16-1) * 332 / 4.601 ]  

22.316 < < 59.585

99% CI is (22.316 , 59.585)


Related Solutions

Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard...
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. cequals0.95​, sequals34​, nequals15
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard...
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. c=0.95​, s=39​, n=16
Use technology to construct the confidence intervals for the population variance σ2 and the population standard...
Use technology to construct the confidence intervals for the population variance σ2 and the population standard deviation σ. Assume the sample is taken from a normally distributed population. c=0.90​ s=33​ n=20 The confidence interval for the population variance is (_, _ ) ​(Round to two decimal places as​ needed.) The confidence interval for the population standard deviation is (_, _ ) ​(Round to two decimal places as​ needed.)
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard...
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard deviation sigmaσ. Assume the sample is taken from a normally distributed population. cequals=0.95 ssquared2equals=12.96 nequals=25
Use technology to construct the confidence intervals for the population variance σsquared2 and the population standard...
Use technology to construct the confidence intervals for the population variance σsquared2 and the population standard deviation sigmaσ. Assume the sample is taken from a normally distributed population. c=0.99, s=33​, n=16 a) The confidence interval for the population variance is (_,_) ?? b) The confidence interval for population standard deviation is (_,_) ?? Please explain how you got these answers for a thumbs up!! Thanks :)
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard...
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard deviation sigmaσ. Assume the sample is taken from a normally distributed population. c equals=0.99 s equals=35​ nequals=20
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard...
Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard deviation sigmaσ. Assume the sample is taken from a normally distributed population. c=0.99, s =35, n=19 What is the confidence interval for the population variance? What is the confidence interval for the population standard deviation?
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard...
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. cequals0.98​, ssquaredequals23.04​, nequals25
Use technology to construct the confidence intervals for the population variance σ2 and the population standard...
Use technology to construct the confidence intervals for the population variance σ2 and the population standard deviation σ2 Assume the sample is taken from a normally distributed population. c=0.980.98​, s2=4.844.84​, n=2727 The confidence interval for the population variance is (Round to two decimal places as​ needed.)
Use technology to construct the confidence intervals for the proportion variance sigma2 and the population standard...
Use technology to construct the confidence intervals for the proportion variance sigma2 and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. c=0.90, s2=10.89, n=25 The confidence interval for the population variance is (?,?) The confidence interval for the population standard deviation is (?,?)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT