In: Statistics and Probability
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 |