Question

In: Statistics and Probability

49. {Exercise 12.26 (Algorithmic)} The following data on price ($) and the overall score for 6...

49.

{Exercise 12.26 (Algorithmic)}

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 190 78
Scullcandy 150 78
Koss 95 65
Phillips/O'Neill 70 57
Denon 80 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 - Select your answer -less than .02between .02 and .05between .05 and .1between .1 and .2greater than .2Item 2

What is your conclusion? Use α = .05.
- Select your answer -There is a significant relationship between price and overall scoreThere is no significant relationship between price and overall scoreItem 3 .

b. Test for a significant relationship using the F test.
p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 4

What is your conclusion? Use α = .05.

Because p-value is - Select your answer -greater than or equal toless than or equal toequal toItem 5 .05, we - Select your answer -acceptrejectItem 6 H0: β1 is - Select your answer -greater than or equal to zeroless than or equal to zeroequal to zeroItem 7 .

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 - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 12
Error
Total

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