# Independent sample t test for comparing means

Consider the following results for two samples randomly taken from two populations.

Sample A Sample B

Sample Size 150 150

Sample Mean 412 405

Sample Std Deviation 128 54

A. At a .01 level of significance, test whether there is a difference between the 2 sample means.

b. Construct a 99 percent confidence interval estimate of the difference between the two sample means.

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#### Solution Preview

Significance Test

Consider the following results for two samples randomly taken from two populations.

Sample A Sample B

Sample Size 150 150

Sample Mean 412 405

Sample Std Deviation 128 54

A. At a .01 level of significance, test whether there is a difference between the 2 sample means.

H0: µ1 =µ2

H1: µ1≠µ2

Test ...

#### Solution Summary

The solution provides step by step method for the calculation of independent sample t test . Formula for the calculation and Interpretations of the results are also included.