Question 7 (1 point) Please use the dataset below to conduct a hypothesis test f

Question

Question 7 (1 point)

Please use the dataset below to conduct a hypothesis test for the equality of the two population means. Please do so with 95% significance. Also assume that the two population standard deviations are unknown and cannot be assumed equal.

Please report the t-test statistic from your test.

Question 7 options:

-2.08

-1.30

-1.97

-1.611

None of the above

Question 8

Consider a scenario where you have two samples. Sample 1 contains 50 observations, has the sample average value of 38 and the sample standard deviation of 2.5. Sample 2 contains 50 observations, has the sample average of 39 and the sample standard deviation of 2.0. Based on this information, please conduct a 90% significance test for the equality of the two population variances.

Question 8 options:

Fail to reject the null that the two sigmas are equal

Reject the null that the two sigmas are equal

none of the above

Sample 1 Sample 2 38 41 39 35 36 38 33 42 38 39 37 40 35 37

Explanation / Answer

from above degree of freedom =((s12/n1+s22/n2)2/((s12/n1)/(n1-1)+ (s22/n2)/(n2-1)) =9

and std error =(s12/n1+s22/n2)1/2 =1.2206

hence test stat t=(X1-X2)/std error =-2.0823

here F stat =(2.5/2)2 =1.5625

for above p value =0.1217

hence Fail to reject the null that the two sigmas are equal

S1 1.923 S2 2.483 n1 8 n2 6 X1 36.625 X2 39.167

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