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.

		Light	Heavy
	Nonbrowser	Browser	Browser
	9	10	10
	10	11	12
	11	10	10
	8	9	12
	8	12	9
	9	9	11
	10	11	10
	9	10	12

a. Use a=.05 to test for a difference among mean comfort scores for the three types of browsers.

Compute the values identified below (to 2 decimals, if necessary).

Sum of Squares, Treatment
Sum of Squares, Error
Mean Squares, Treatment
Mean Squares, Error

Calculate the value of the test statistic (to 2 decimals, if necessary).

The p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6

What is your conclusion?

- Select your answer -Conclude that the mean comfort scores are not all the same for the browser groupsDo not reject the assumption that the mean comfort scores are equal for the browser groupsItem 7

b. Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use a=.05.

Compute the LSD critical value (to 2 decimals).

What is your conclusion?

Answer 1

(a) Sum of Squares, Treatment = 9.33

Sum of Squares, Error = 24.50

Mean Squares, Treatment = 4.67

Mean Squares, Error = 1.17

Calculate the value of the test statistic

F = 4.00

The p-value is between .025 and .05

What is your conclusion?

Conclude that the mean comfort scores are not all the same for the browser groups

(b) Compute the LSD critical value

1.12

What is your conclusion?

There is no significant difference between the comfort levels of nonbrowsers and light browsers.

Nonbrowser	Light Browser	Heavy Browser
9	10	10
10	11	12
11	10	10
8	9	12
8	12	9
9	9	11
10	11	10
9	10	12
	Mean	n	Std. Dev
	9.3	8	1.04	Nonbrowser
	10.3	8	1.04	Light Browser
	10.8	8	1.16	Heavy Browser
	10.1	24	1.21	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	9.33	2	4.67	4.00	.0337
Error	24.50	21	1.17
Total	33.83	23

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