# Independent Sample t Test

Pooled-Variances t-Test for (µ1 - µ2), Population Variances Unknown but

Assumed Equal

t-Test: Two-Sample Assuming Equal Variances

Format 1 Format 2

Mean 6 8.166666667

Variance 9.777777778 11.06060606

Observations 10 12

Pooled Variance 10.48333333

Hypothesized Mean Difference 0

df 20

t Stat -1.562865798

P(T<=t) one-tail 0.066884748

t Critical one-tail 1.724718218

P(T<=t) two-tail 0.133769496

t Critical two-tail 2.085963441

Format 1 Format 2

11 10

8 11

8 9

3 7

7 2

5 11

9 12

5 3

1 6

3 7

8

12

See attached file - Pooled-Variances t-Test

(11.1 - Module 7)

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#### Solution Preview

Please see the attachments.

Answer

The null hypothesis tested is

H0: µ1= µ2

The alternative hypothesis is

H1: µ1≠ µ2

The test statistic used is

Where

Rejection criteria: Reject the null hypothesis, if the calculated value of is greater than the critical value of t at the ...

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.