Question

Reserve Problems Chapter 8 Section 3 Problem 5 Determine the percentile that is required to construct each of the following CIs. Round your answers to two decimal places (e.g. 98.76) (a) Confidence level-9590, degrees of freedom-17, one-sided (upper) (b) Confidence level-9990, degrees of freedom-15, one-sided (lower) (c) Confidence level-90%, degrees of freedom-20, two-sided. x22.20 ) and χ -(12.20

Answer 1

a)

Here

α=0.05, df = 17

The Chi-Square critical value for a right-tailed test, for a significance level of α = 0.05 is:

Chi-square (upper) = 27.587

b)

Here

α=0.01, df = 17

The Chi-Square critical value for a right-tailed test, for a significance level of α = 0.01 is:

Chi-square (lower) = 5.229

c)

Here

α=0.1, df = 20

The Chi-Square critical value for a right-tailed test, for a significance level of α = 0.1 is:

Chi-square α/2 , 20 = 10.851

Chi-square 1-α/2 , 20 = 31.41