Question

For each analysis, write out the null hypothesis, explain what the analysis is looking at, calculate anything you think needs calculating (like expected cell counts), identify whether you think the null is right, and then tell the manager what the results mean.

10. Oneway ANOVA

	Type of Business Student
	Freshman (1)	Sophomore (2)	Junior (3)	Senior (4)
Average Perceived Challenge	4.2	4.7	3.6	4.2

Source	Variation	F	p
Between Groups	5.89	1.89	.76
Within Groups	254.3
Total	260.19

Post hoc tests

1 vs 2               p = .73

1 vs 3               p = .14

1 vs 4               p = .85

2 vs 3               p = .10

2 vs 4               p = .46

3 vs 4               p = .49

11. Correlations - I have put the following correlations into a matrix form. Each r is the correlation between the row variable and the column variable. The p value for each r is located immediately below the r.

	Age	$ spent in category	$ spent on our brand	Household size
Age	---	r = .33 p = .05	r = .15 p = .57	r = .18 p = .23
$ Spent in category	r = .33 p = .13	---	r = .48 p = .01	r = .67 p = .01
$ spent on our brand	r = .15 p = .57	r = .48 p = .01	---	r = .04 p = .74
Household size	r = .18 p = .23	r = .67 p = .01	r = .04 p = .74	---

12. Multiple Regression

Source	Variation	F	p
Predicted	735	4.75	.003
Error	4265
Total	5000

Dependent Variable = $ spent on product category

R² = 735/5000 = 14.7%

	b	Beta	p
Household size	3.5	.245	.02
Household Income	257.83	.475	.005

Answer 1

10)

Ho: µ1=µ2=µ3  
H1: not all means are equal  

p =0.76

alpha = 0.05
  
conclusion :    p-value>α , do not reject null hypothesis        

It can be concluded that all means are equal and there is no significant result.

11)

conclusion :    p-value>α , do not reject null hypothesis        

conclusion :    p-value<α , reject null hypothesis

12)

p = 0.003

conclusion :    p-value<α , reject null hypothesis

Model is significant.

Both Household size and Household Income have less p value means both variable are significant in model.

THANKS

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