Question

n1=37, n2=37, s1= 7.4345, s2= 3.4927, x1= 23.237, x2 = 22.526 Please perform: One Hypothesis test, an F test for the equality of the variances of travel Times and the second test is a T-test for the equality of the means of travel times in MINUTES. The F test must be performed first in order to select either Case1 or Case 2 for the T-test. Then perform the Required T-test (either case 1 or 2 depending on your findings of the F-test). use p value as rejection rule for both tests!!, and use the 5 steps please please help

Answer 1

Ans:

1)Hypothesis Test for equality of variances:

Test statistic:

F=7.4345^2/3.4927^2

F=4.53

p-value=FDIST(4.531,36,36)=0.0000

Reject the null hypothesis.There is sufficient evidence to conclude that population variances are not equal.

2)Hypothesis Test for equality of means:

Test statistic:

t=(23.237-22.526)/sqrt((7.4345^2/37)+(3.4927^2/37))

t=0.5265

p-value=TDIST(0.5265,36,2)=0.6018

Fail to reject the null hypothesis.

There is not sufficient evidenec to conclude that the mean travel times are not equal.