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.

Given Data : For first born children x̄1 = 24.4 σ1 = 1.5 n1 = 225 For…

Answered: Step 3 of 3: Draw a conclusion and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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It is hypothesized that there is a difference in job satisfaction between those who receive regular feedback on their job performance and those who receive irregular feedback." is an example of which type of hypothesis? a. Directional hypothesis b. Not a hypothesis c. Null hypothesis d. Non-directional hypothesis
a. Set up the null and alternative hypothesis (using mathematical notation/numbers and interpretthem in context of the problem) b. Calculate the test statistic for the test from part a.
If a significance test gives p-value 0.005... A.. the effect of interest is practically significant B...We do have good evidence against the null hypothesis C...we do not have good evidence against the null hypothesis D...the null hypothesis is very likely to be true E.. The margin of error is 0.005
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