COMPARISON OF MEANS QUESTION #10c Use Excel to perform a paired samples t-test to evaluate whether or not the mean Motivation level is significantly different from mean Commitment level in the population. The null hypothesis is: µ1 = µ2 The alternative hypothesis is: µ1 ≠ µ2 Test at alpha level of 0.01

STEP 1 Copy or Type table into an Excel Worksheet State the Null and Alternative Hypotheses Ho: µ1 = µ2, The sample mean motivation level is equal to the sample mean commitment level. Ha: µ1 ≠ µ2, The sample mean motivation level is significantly different from the sample mean commitment level.

STEP 2 Perform Paired Samples t-Test in Excel In Excel Worksheet, click on “Data” tab on title bar Click on “Data Analysis” located far-right on ribbon bar Data Analysis window opens Highlight “t-Test: Paired Two Sample for Means” Click “Ok”

EXAMPLE WORKSHEET

STEP 3 t-Test: Paired Two Sample for Means Window Opens Enter Input by clicking on the field box for the “Variable 1 Range” Highlight the “Motivation” column, including the title in table, this inserts the range in field box Click on the field box for the “Variable 2 Range” Highlight the “Commitment” column, including the title in table, this inserts the range in field box

STEP 4 t-Test: Paired Two Sample for Means Window Enter “0” in the Hypothesized Mean Difference: field box Check the Labels box by clicking in it Enter “0.01” in the Alpha: field box STEP 4

STEP 5 t-Test: Paired Two Sample for Means Window To enter output on current worksheet – under Output Options, click in the circle in front of “Output Range” Click in the Output Range field box Click on a cell in current worksheet where the results are to be displayed Click Ok STEP 5

Example t-Test: Paired Two Sample for Means Window

Results Window

STEP 6 State the Conclusion Since the absolute value of the t-statistic is less than the t-Critical two-tail value and the P (T<=t) two-tail value is greater than alpha of 0.01, we do not reject the null hypothesis. 2.731 < 2.947 and 0.015 > 0.010 The sample mean motivational level is not significantly different from the sample mean commitment level in the population. STEP 6

EXAMPLE WORKSHEET