Answered: Does the t test indicate a significant…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

#a. Does the t test indicate a significant relationship between price and the overall score?

Compute the value of the t test statistic. Use x=0.05

$### Statistical Analysis of Headphone Prices and Scores The following data presents the price in dollars ($) and the overall scores for six stereo headphones tested by Consumer Reports. The estimated regression equation for these data is: \[ \hat{y} = 26.328 + 0.293x \] #### Brand Data: | Brand | Price ($) | Score | |-----------------|-----------|-------| | Bose | 190 | 77 | | Skullcandy | 150 | 71 | | Koss | 85 | 66 | | Phillips/O'Neill| 70 | 57 | | Denon | 70 | 40 | | JVC | 45 | 26 | ### Analysis Tasks: #### a. Significance of Relationship using the t-test - **Objective:** Determine if there is a significant relationship between price and overall score. - **Instructions:** 1. Compute the t test statistic using a significance level ($\alpha$) of 0.05. 2. Round your answer to two decimal places. 3. Use Table 2 of Appendix B to find the p-value. 4. Make a conclusion based on $\alpha = 0.05$. #### b. Significance of Relationship using the F-test - **Objective:** Test for a significant relationship using the F test. - **Instructions:** 1. Use Table 4 of Appendix B to determine the p-value. 2. Make a conclusion, noting whether the relationship is significant based on $\alpha = 0.05$. #### c. ANOVA Table - **Objective:** Present the ANOVA table for the data. - **Instructions:** 1. Round your answers to three decimal places, if necessary. 2. Ensure intermediate calculations are not rounded to maintain accuracy. This analysis will help determine the extent of the linear relationship between headphone prices and consumer scores.$

Transcribed Image Text:### Statistical Analysis of Headphone Prices and Scores The following data presents the price in dollars ($) and the overall scores for six stereo headphones tested by Consumer Reports. The estimated regression equation for these data is: \[ \hat{y} = 26.328 + 0.293x \] #### Brand Data: | Brand | Price ($) | Score | |-----------------|-----------|-------| | Bose | 190 | 77 | | Skullcandy | 150 | 71 | | Koss | 85 | 66 | | Phillips/O'Neill| 70 | 57 | | Denon | 70 | 40 | | JVC | 45 | 26 | ### Analysis Tasks: #### a. Significance of Relationship using the t-test - **Objective:** Determine if there is a significant relationship between price and overall score. - **Instructions:** 1. Compute the t test statistic using a significance level ($\alpha$) of 0.05. 2. Round your answer to two decimal places. 3. Use Table 2 of Appendix B to find the p-value. 4. Make a conclusion based on $\alpha = 0.05$. #### b. Significance of Relationship using the F-test - **Objective:** Test for a significant relationship using the F test. - **Instructions:** 1. Use Table 4 of Appendix B to determine the p-value. 2. Make a conclusion, noting whether the relationship is significant based on $\alpha = 0.05$. #### c. ANOVA Table - **Objective:** Present the ANOVA table for the data. - **Instructions:** 1. Round your answers to three decimal places, if necessary. 2. Ensure intermediate calculations are not rounded to maintain accuracy. This analysis will help determine the extent of the linear relationship between headphone prices and consumer scores.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions