Question

Type both numbers only with a space between them in the blank.

Find the χ²-value.

Find the two critical chi-square values that corresponds to 90% confidence and n = 15.

Answer 1

two numbers are 7.2 61 and 24.99 6

to find 90% confidence interval we suppose symmetric middle 90% area of chi square curve. then and on left side of x2 area will be 0.95. friends area on left oflf X1 is 0.05

x2= 24.995790
P( x 2≤ 24.995790 ) = 0.95

R code should be:
qchisq(p=0.95, df=15, ncp=0, lower.tail=TRUE, log.p = FALSE)

X 1= 7.260944
P( x1 ≤ 7.260944 ) = 0.05

R code should be:
qchisq(p=0.05, df=15, ncp=0, lower.tail=TRUE, log.p = FALSE)

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