3 Test to see if 2 is 33 Use 01 n28 s2 36SolutionHere the

3. Test to see if ² is 33. Use = .01. n=28, s² = 36

Solution

Here the test of hypothesis is,

H0 : ² = 33 Vs H1 : ² 33

This is two tailed test.

alpha () = level of significance = 0.01

² = 33 (population variance)

n = 28

s² = 36 (sample variance)

The test statistic for testing variance is,

² = [ (n-1) * s² ] / ²

= [ ( 28 - 1) * 36 ] / 33

= 972 / 33

² = 29.45

We can find critical value by using EXCEL.

syntax,

=CHIINV(probability,d.f.)

where probability = alpha

d.f. = n - 1 = 28 - 1 = 27

critical value = 46.9629

² < critical value

We do not reject H0 at 1% level of significance.

That is the population variance is 33.