Question

The following data show the brand, price, and the overall score for six stereo headphones that were tested by consumer reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 to 100.

Price Score

Bose 180 76

Skullcandy 150 71

Koss 85 61

Phillips/O'Neill 70 56

Denon 70 40

JVC 35 26

a). Test for a significant relationship using the F test. What is your conclusion? Use α= 0.05

b). Develop a point estimate of the score for a headphone with a price of 100.

c). Develop a 95% confidence interval for the mean score for all headphones with a price of 100.

Answer 1

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

.a. Test for a significant relationship using the F test.

p-value is - Select your answer -

less than .01

between .01 and .025

between .025 and .05

between .05 and .1

greater than .1

Item 4

What is your conclusion? Use α = .05.

Because p-value is - Select your answer -

greater than or equal to

less than or equal to

equal to

Item 5

.05, we - Select your answer -

accept

reject

Item 6

H₀: β₁ is - Select your answer -

greater than or equal to zero

less than or equal to zero

equal to zero

Item 7

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

Source of

Variation

Regression and error

Sum of

Squares

regression and error

Degrees of

Freedom

regression and error

Mean Square

F

regression and error

p-value Regression - Select your answer -

less than .01

between .01 and .025

between .025 and .05

between .05 and .1

greater than .1

Item 12