Homework Help is Here – Start Your Trial Now!
Math
Statistics
Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables E Keypad Keyboard Shortcuts We fail to reject the null hypothesis and concdude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first- born children earn lower ACT scores on average than second-born children. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first- born children earn lower ACT scores on average than second-born children.

Step 3 of 3: Draw a conclusion and interpret the decision. Answer Tables E Keypad Keyboard Shortcuts We fail to reject the null hypothesis and concdude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first- born children earn lower ACT scores on average than second-born children. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first- born children earn lower ACT scores on average than second-born children.

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
A parent interest group is investigating whether birth order affects ACT test scores. It was proposed that, on average, first-born children earn lower ACT scores than second-born children. A survey of 225 first-born children showed a mean ACT score of 24.4. A separate survey of 125 second-born children indicated a mean ACT score of 24.7. Assume the population standard deviation for first-born children is 1.5 points, and for second-born children, it is 0.8 points. The group wants to determine if there is sufficient evidence at the 5% significance level to claim that the mean ACT score of first-born children is lower than that of second-born children. Let first-born children be Population 1 and second-born children be Population 2. **Step 3 of 3: Draw a conclusion and interpret the decision.** **Answer:** - We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. - We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. - We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group’s claim that first-born children earn lower ACT scores on average than second-born children. - We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. **Explanation:** The answer options provide different potential outcomes of a hypothesis test designed to compare the average ACT scores of first-born and second-born children. - The first and fourth options indicate scenarios in which the null hypothesis is not rejected, leading to conclusions about the sufficiency of evidence. - The second and third options describe scenarios where the null hypothesis is rejected, influencing the next steps regarding the group's claim.
Transcribed Image Text:A parent interest group is investigating whether birth order affects ACT test scores. It was proposed that, on average, first-born children earn lower ACT scores than second-born children. A survey of 225 first-born children showed a mean ACT score of 24.4. A separate survey of 125 second-born children indicated a mean ACT score of 24.7. Assume the population standard deviation for first-born children is 1.5 points, and for second-born children, it is 0.8 points. The group wants to determine if there is sufficient evidence at the 5% significance level to claim that the mean ACT score of first-born children is lower than that of second-born children. Let first-born children be Population 1 and second-born children be Population 2. **Step 3 of 3: Draw a conclusion and interpret the decision.** **Answer:** - We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. - We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. - We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group’s claim that first-born children earn lower ACT scores on average than second-born children. - We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the parent interest group's claim that first-born children earn lower ACT scores on average than second-born children. **Explanation:** The answer options provide different potential outcomes of a hypothesis test designed to compare the average ACT scores of first-born and second-born children. - The first and fourth options indicate scenarios in which the null hypothesis is not rejected, leading to conclusions about the sufficiency of evidence. - The second and third options describe scenarios where the null hypothesis is rejected, influencing the next steps regarding the group's claim.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS