Is there a significant difference in store traffic between the old menu and new menu conditions?

New menu and old menu data was entered into statistic package for social science (SPSS) after which independent-sample T Test was carried out. The tables below show the output of the results.

Group Statistics
 Type of menuNMeanStd. DeviationStd. Error Mean
ObservationsNew menu728.144.6341.752
Old menu726.293.4501.304
Independent Samples Test
  t-test for Equality of Means
FSig.tdfSig. (2-tailed)Mean DifferenceStd. Error Difference95% Confidence Interval of the Difference
LowerUpper
ObservationsEqual variances assumed.395.541.85012.4121.8572.184-2.9016.615
Equal variances not assumed  .85011.088.4131.8572.184-2.9456.659

Is there a significant difference in store traffic between the old menu and new menu conditions?

From the table above the p value is 0.412, which is greater than 0.05. Therefore, there is no significant difference in store traffic between the old menu and the new menu conditions.

  1. From the table above, the average difference of the store traffic between the two menus is 1.857.
  2. The standard deviation of the average difference is obtained by summing the standard deviation of the new menu and old menu from the group statistics table and dividing the result by two, that is, (4.634+3.450)/2 = 4.042. The standard deviation of the average difference is therefore equal to 4.042. On other hand, the standard error of the average difference from the independent samples test is 2.184.
  3. The 95% confidence interval of the difference from the table on the independent samples test is -2.901 to 6.615 when equal variances is assumed while confidence interval of the difference is -2.945 to 6.659 when equal variance is not assumed.
  4. The t value of the study from the table on the independent samples test is 0.850 when equal variance is assumed and also when equal variance is not assumed.
  5. The t critical value 2.45 is greater than the t value from the table 0.850. The conclusion is that there is no significant difference in store traffic between the old menu and the new menu conditions.