Question

The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows.

Brand Price Score

Bose 180 76

Scullcandy 150 77

Koss 85 68

Phillips/O'Neill 80 58

Denon 70 40

JVC 35 27

a. Does the t test indicate a significant relationship between price and the overall score? The test t-Conclusion at α = .05 t = (to 2 decimal places.) p-value is What is your conclusion? Use α = .05. .

b. Test for a significant relationship using the F test. p-value is What is your conclusion? Use α = .05. Because p-value is .05, we H0: β1 is .

c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary.

Source of Variation

Sum of Squares

Degrees of Freedom

Mean Square F

p-value

Regression Error Total

Answer 1

a. t test statistic is 1.793 and the p-value is 0.103 which is greater then 0.05(alpha)

then we can conclude that there is not any significant relationship between price and the overall score.

	Levene's Test for Equality of Variances	t-test for Equality of Means
F	Sig.(p-value)	t	df	Sig. (2-tailed) (p-value)
values	Equal variances assumed	5.707	.038	1.793	10	.103
Equal variances not assumed			1.793	6.385	.120

b. As we know F test is used to test the variance. Value of F test statistic is 5.707 and the p-value is 0.038 which is less then 0.05 so we can conclude that variances are not equal.

C. ANOVA table is given below

ANOVA
values
Source of variation	Sum of Squares	df	Mean Square	F	Sig.(p-value)
Between Groups	5376.333	1	5376.333	3.216	.103
Within Groups	16719.333	10	1671.933
Total	22095.667	11