Question

In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected:

Nonbrowser                  Light Browser                Heavy Browser

4                                         5                                         5

5                                         6                                         7

6                                         5                                         5

3                                         4                                         7

3                                         7                                         4

4                                         4                                         6

5                                         6                                         5

4                                         5                                         7

Using a .05 level of significance, conduct a completely randomized design hypothesis test, followed by a post-hoc comparison test if you rejected the null hypothesis. Please provide the 5 steps for both the main effect and the post-hoc test (if required), the Minitab output for each hypothesis test, and state the business implication based upon your analysis. You must use Minitab and the 5 step hypothesis testing process.

Here’s an example of reporting results in APA style:

An one way analysis of variance showed that the effect of noise was significant, F(3,27) = 5.94, p = .007. Post hoc analyses using the Tukey post hoc criterion for significance indicated that the average number of errors was significantly lower in the white noise condition (M = 12.4, SD = 2.26) than in the other two noise conditions (traffic and industrial) combined (M = 13.62, SD = 5.56), F(3, 27) = 7.77, p = .042.

Answer 1

The Minitab output is:

The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are not equal

The p-value from the output is 0.034.

Since the p-value (0.034) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference between the mean of the groups.

There is a significant difference between Heavy Browser and Nonbrowser.

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