A parent group iš looking at whether birth order affects scores on the ACT test. It was suggested that, on average, first-born children earn lower ACT scores than second-born children. After surveying a random sample of 100 first-born children, the parents' group found that they had a mean score of 22.5 on the ACT. A survey of 125 second-born children resulted in a mean ACT score of 22.8. Assume that the population standard deviation for first-born children is known to be 0.9 points and the population standard deviation for second-born children is known to be 1.3 points. Is there sufficient evidence at the 5% level of significance to say that the mean ACT score of first-born children is lower than the mean ACT score of second-born children? Let first-born children be Population 1 and let second-born children be Population 2. 1. State the null and alternative hypotheses in terms of the population parameters:
A parent group iš looking at whether birth order affects scores on the ACT test. It was suggested that, on average, first-born children earn lower ACT scores than second-born children. After surveying a random sample of 100 first-born children, the parents' group found that they had a mean score of 22.5 on the ACT. A survey of 125 second-born children resulted in a mean ACT score of 22.8. Assume that the population standard deviation for first-born children is known to be 0.9 points and the population standard deviation for second-born children is known to be 1.3 points. Is there sufficient evidence at the 5% level of significance to say that the mean ACT score of first-born children is lower than the mean ACT score of second-born children? Let first-born children be Population 1 and let second-born children be Population 2. 1. State the null and alternative hypotheses in terms of the population parameters:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A parent interest group is looking at whether birth order affects scores on the ACT
test. It was suggested that, on average, first-born children earn lower ACT scores
than second-born children. After surveying a random sample of 100 first-born
children, the parents' group found that they had a mean score of 22.5 on the ACT.
A survey of 125 second-born children resulted in a mean ACT score of 22.8.
Assume that the population standard deviation for first-born children is known to
be 0.9 points and the population standard deviation for second-born children is
known to be 1.3 points. Is there sufficient evidence at the 5% level of significance
to say that the mean ACT score of first-born children is lower than the mean ACT
score of second-born children? Let first-born children be Population 1 and let
second-born children be Population 2.
1. State the null and alternative hypotheses in terms of the population parameters:
2. Find the test statistic and p-value using the TI-84:
3. Compare the p-value to the level of significance and state whether the decision is to fail
to reject the null or reject the null:
4. Answer this question as a sentence NOT as "yes or no": Is there sufficient evidence at
the 5% level of significance to say that the mean ACT score of first-born children is lower
than the mean ACT score of second-born children?
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