A STAT 200 instructor is interested in whether there is any variation in the fin

Question

A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classes Data collected from the two classes are as follows:

Section1: n1 = 28, x- = 80 , S1 = 16

Section2: n1 = 25, x- 2 =75, S2 = 12

Her null hypothesis and alternative hypothesis are:

(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit. (c) Is there sufficient evidence to justify the rejection of H0 at the significance level of 0.05? Explain.

Explanation / Answer

Null Hypothesis, There Is No Significance between them Ho: ^2 = ^2
Alternate Hypothesis, There Is Significance between them H1: ^2 > ^2
Test Statistic
Sample 1
s1^2=256, n1 =28
Sample 2
s2^2 =144, n2 =25
Fo =256/144 = 1.78
| Fo | =1.78
Critical Value
The Value of |F | at LOS 0.05 with d.f F(n1-1,n2-1)=F(27,24) is 1.959
We got |Fo| =1.778 & | F | =1.959
Make Decision
Hence Value of |Fo | < | F | and Here we Do not Reject Ho
P-Value : Right Tail - Ha : ( P > 1.778 ) = 0.079
Hence Value of P 0.05 < 0.079, Here we Do not Reject Ho
here Is No Significance between them

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