Question

Below is the raw data for purchases made for three different shopping methods (1) if you shop as an impulsive shopper, (2) if you shop at a warehouse club like Costco, or (3) if you purchase store brands.

Is there a difference in prices if you shop as an impulsive shopper, or you shop at a warehouse club like Costco, or if you purchase store brands? Complete the F-test to determine if there is a difference in prices of the methods of shopping. alpha = 0.05

Complete the LSD method to find which method(s) are different.

Which method of shopping saves you the most money? Look at the average costs AND the results of the LSD method. Be specific in your answer.

Impulse        Warehouse          Store Brands

12                  9                                8

14                  13                              13

10                   11                             7

22                   18                           17

14                   14                             13

18                     15                         11

15                     13                          10

Ave =15            13.3                       11.6

Answer 1

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

	Mean	n	Std. Dev
	15.0	7	3.96	Group 1
	13.3	7	2.87	Group 2
	11.3	7	3.40	Group 3
	13.2	21	3.61	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	48.38	2	24.190	2.05	.1583
Error	212.86	18	11.825
Total	261.24	20

The p-value is 0.1583.

Since the p-value (0.1583) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a difference in the prices of the methods of shopping.

There is no difference in the prices of the methods of shopping, so we don't need to perform the LSD test.