Question

The following information is available for two samples selected from independent normally distributed populations.

Population A: n=16 S^2 = 52.2

Population B: n=13 S^2 = 26.1

F Stat = 2

A) Find the P value.

b) Suppose that you want to perform a one-tail test. At the 0.05 level of significane, what is the upper-tail critical value of F to determine whether there is evidence that sigma Subscript 1 Superscript 2 Baseline greater than sigma Subscript 2 Superscript 2σ2/1>σ2/2 ?

What is your statistical decision?

Answer 1

Population A: n=16 S^2 = 52.2

Population B: n=13 S^2 = 26.1

F Stat = 2

Degrees of freedom = n1 - 1 , n2 - 1 => 16 - 1 , 13 - 1 = > 15 , 12

A)

P-value = P(F > 2) = 0.1161

b)

The null and alternative hypothesis is

Level of significance = 0.05

Degrees of freedom = n1 - 1 , n2 - 1 => 16 - 1 , 13 - 1 = > 15 , 12

Critical value = 2.617

( From F table)

F stat < critical value we fail to reject null hypothesis.