# Students T-test

Group Statistics

Group N Mean Std. Deviation Std. Error Mean

Annual Income Control Group 42 20813.7143 10578.81613 1632.34677

Experiment Group 42 22258.7619 8896.90632 1372.82245

Independent Samples Test

Levene's Test for Equality of Variances t-test for Equality of Means

F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference

Lower Upper

Annual Income Equal variances assumed 1.563 .215 -.678 82 .500 -1445.04762 2132.88477 -5688.03487 2797.93964

Equal variances not assumed -.678 79.659 .500 -1445.04762 2132.88477 -5689.90279 2799.80755

I hope it works for you as well. I just have to do the others. Good night!

Mean difference Std error diff 95% Confidence Interval of the difference last 2 columns

-1445.04762 2132.88477 -5688.03487 2797.93964

1445.04762 2132.88477 -5689.90279 2799.80755

In order to promote the habit of saving among low-income households, United Way of Greater Los Angeles conducted a pilot study in 2007 to determine the effectiveness of high-interest savings accounts by randomly selecting two groups of low-income savers. In this pilot, both groups were offered incentives to save every month, but one of the groups, (the experiment "E" group received a high subsidized rate of interest on monthly deposits while the control "C" received no such subsidies. Each group consisted of 42 individual savers. The pilot monitored amounts saved by each individual for 12 month. Participants opened their accounts during March through July of 2007 and their monthly deposits were monitored for 12 months.

a. While there are differences in reported income between the Control and Experiment groups, are these differences statistically significant?

https://brainmass.com/statistics/students-t-test/t-test-differences-groups-investing-high-interest-380895

#### Solution Preview

Group Statistics

Group N Mean Std. Deviation Std. Error Mean

Annual Income Control Group 42 20813.7143 10578.81613 1632.34677

Experiment Group 42 22258.7619 8896.90632 1372.82245

Independent Samples Test

Levene's Test for Equality of Variances t-test for Equality of Means

F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference 95% Confidence Interval of the Difference

Lower Upper

Annual

Income Equal variances assumed 1.563 .215 -.678 82 .500 -1445.04762 2132.88477 -5688.03487 2797.93964

Equal variances not ...

#### Solution Summary

Step by step method for computing test statistic for students t test is given in the answer.