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# Independent Sample t Test

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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)

https://brainmass.com/statistics/students-t-test/independent-sample-t-test-341535

#### Solution Preview

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.

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