## Answers

5)

df= n-1 = 24

alpha=1-0.98 = 0.02

Low end alpha= 0.02/2 = 0.01

L =0.01,24 = 42.9798

excel formula =CHIINV(0.01,24)

----------

high end alpha= 1-0.02/2 = 0.99

U=0.99 = 10.8563

excel formula =CHIINV(0.99,24)

---------------------------------------------------------------------------------------------------------------------

6)

point estimate for population variance = sum [ x- mean]^2 /(n-1) = 3.003

b)

alpha=0.05

alpha/2 = 0.025

sqrt (24*3.003/16.0128<sigma< sqrt (24*3.003/1.6899)

1.1457< sigma < 3.5269

so, confidence interval is (1.1457,3.5269)

c)

yes, confidence interval contain value 2.5

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