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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 225 first-born children, the parents' group found that they had a mean score of 24.4 on the ACT. A survey of 125 second-born children resulted in a mean ACT score of 24.7. Assume that the population standard deviation for first-born children is known to be 1.5 points and the population standard deviation for second-born children is known to be 0.8 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. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

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 225 first-born children, the parents' group found that they had a mean score of 24.4 on the ACT. A survey of 125 second-born children resulted in a mean ACT score of 24.7. Assume that the population standard deviation for first-born children is known to be 1.5 points and the population standard deviation for second-born children is known to be 0.8 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. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 225 first-born children, the parents' group found that they had a mean score of 24.4 on the ACT. A survey of 125 second-born children resulted in a mean ACT score of 24.7. Assume that the population standard deviation for first-born children is known to be 1.5 points and the population standard deviation for second-born children is known to be 0.8 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. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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 225 first-born children, the parents' group found that they had a mean score of 24.4 on the ACT. A survey of 125 second-born children resulted in a mean ACT score of 24.7. Assume that the population standard deviation for first-born children is known to be 1.5 points and the population standard deviation for second-born children is known to be 0.8 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. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
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