Formulate the null and alternative hypothesis Use Excel to c

Formulate the null and alternative hypothesis.

Use Excel to calculate the following:

o The test statistic.
o The p-value for the test statistic.
o Use 5% significance level for testing the null hypothesis.

Write a conclusion in context of the problem.

Q.2) Two sections of a class in statistics were taught by two different methods. Students

Solution

For variances are not equal:

Let mu1 be the mean for Class A

Let mu2 b the mean for Class B

Null hypothesis: mu1=mu2

Alternative hypothesis: mu1 not equal to mu2

The test statistic is

t=1.22

The p-value = 0.2356 (from student t table)

Since the p-value is larger than 0.05, we do not reject the null hypothesis.

So we can not conclude that the results present evidence of a difference in the effectiveness of the two methods

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For the variances are equal:

Null hypothesis: mu1=mu2

Alternative hypothesis: mu1 not equal to mu2

The test statistic is

t=1.22

The p-value = 0.2337 (from student t table)

Since the p-value is larger than 0.05, we do not reject the null hypothesis.

So we can not conclude that the results present evidence of a difference in the effectiveness of the two methods