Construct the indicated confidence intervals for (a) the population variance $$\sigma ^ { 2 }$$ and (b) the population standard deviation $$\sigma$$.

Wotzdorfg

Wotzdorfg

Answered question

2021-05-16

Construct the indicated confidence intervals for (a) the population variance σ2 and (b) the population standard deviation σ. Assume the sample is from a normally distributed population. c = 0.90, s = 35, n = 18

Answer & Explanation

comentezq

comentezq

Skilled2021-05-17Added 106 answers

Determine the critical values usinh table 6 with df=n-1=18-1=17:
χ10.052=χ0.952=8.672
χ0.052=27.587
The boundaries of the confidence internal for the standart deviation are then:
n1χα22s=18127.5873527.475
n1χα22s=1818.7623549.004 The boundaries of the confidence intervals for the stadart deviation:
(27.4752,49.0042)=(754.876,2401.382)
Variance:(754.876,2401.392)
Standart deviation: (27.475,49.004)

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