Question 1196774
i put the data into the two sample t-test calculator at <a href = "https://www.statskingdom.com/140MeanT2eq.html" target = "_blank">https://www.statskingdom.com/140MeanT2eq.html</a>.
it determined that the results were significant at the 5% two tailed significance level.
consequently, H0 is rejected in favor of Ha.
here are the results from using that calculator.
<img src = "http://theo.x10hosting.com/2022/100104.jpg">
the absolute value of difference between the means of each group is equal to 3.4385 - 3.1124 = .3261
the t-test tutorial at <a href = "https://www.statology.org/two-sample-t-test/" target = "_blank">https://www.statology.org/two-sample-t-test/</a> provides the step used to generate these results.
i used it to confirm that the answer from the calculator was consistent with the steps provided through the tutorial.
it was.
i also used a simpler two sample t-test calculator at <a href = "https://www.inchcalculator.com/t-test-calculator/" target = "_blank">https://www.inchcalculator.com/t-test-calculator/</a>.
the results from this calculator were consistent with the results i calculated manually and through the other calculator.