A simple random sample of 12 pages was obtained from each of three different books. The Flesch reading ease score was obtained for each of those pages. The Flesch reading ease scoring system results in higher scores for text that is easier to read. Low scores are associated with works that are difficult to read. When the Flesch-Kincaid grade level scores are used instead, the analysis of variance results from software are as shown in the table below. Assume that we want to use a 0.05 significance level in testing the null hypothesis that the three authors have Flesch-Kincaid grade level scores with the same mean. Click the icon to view the table. Data table Source: DF: SS: MS: Reject the null hypothesis. Reject equality of means. Test Stat, F: Treatment: 2 71.187222 35.593611 8.811016 3.284918 0.00086 Error: 33 133.309167 4.039672 Total: 35 204.496389 5.842754 Print Critical F: P-value: Done D X a. What is the null hypothesis? O A. Ho: pages from the three books have the same mean Flesch reading ease scores. OB. Ho: pages from the three books have different mean Flesch reading ease scores. OC. Ho: pages from the three books have the same mean Flesch-Kincaid grade level scores. O D. Ho: pages from the three books have different mean Flesch-Kincaid grade level scores. b. What is the alternative hypothesis? OA. Ha: pages from the three books have mean grade level scores that are not all equal. OB. Ha: pages from the three books have mean grade level scores that are all equal. OC. Ha: pages from the three books have mean grade level scores that are not equal to each other c. Identify the P-value. The P-value is (Round to five decimal places as needed.) d. Based on the preceding results, what do you conclude about equality of the population means? OA. The pages from the three books all has different mean grade level scores. OB. The pages from the three books do not have the same mean grade level scores. OC. The pages from the three books have the same mean grade level scores.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A simple random sample of 12 pages was obtained from each of three different books. The Flesch reading ease
score was obtained for each of those pages. The Flesch reading ease scoring system results in higher scores for
text that is easier to read. Low scores are associated with works that are difficult to read. When the Flesch-Kincaid
grade level scores are used instead, the analysis of variance results from software are as shown in the table below.
Assume that we want to use a 0.05 significance level in testing the null hypothesis that the three authors
have Flesch-Kincaid grade level scores with the same mean.
Click the icon to view the table.
Data table
Source: DF: SS:
MS:
Reject the null hypothesis.
Reject equality of means.
Test Stat,
F:
Print
Treatment: 2 71.187222 35.593611 8.811016 3.284918 0.00086
Error: 33 133.309167 4.039672
Total:
35 204.496389 5.842754
Critical F:
Done
P-value:
□
X
a. What is the null hypothesis?
A. Ho: pages from the three books have the same mean Flesch reading ease scores.
B. Ho: pages from the three books have different mean Flesch reading ease scores.
C. Ho: pages from the three books have the same mean Flesch-Kincaid grade level scores.
D. Ho: pages from the three books have different mean Flesch-Kincaid grade level scores.
b. What is the alternative hypothesis?
O A. H₂: pages from the three books have mean grade level scores that are not all equal.
B. H₂ pages from the three books have mean grade level scores that are all equal.
C. H₂ pages from the three books have mean grade level scores that are not equal to each other.
c. Identify the P-value.
The P-value is
(Round to five decimal places as needed.)
d. Based on the preceding results, what do you conclude about equality of the population means?
O A. The pages from the three books all has different mean grade level scores.
B. The pages from the three books do not have the same mean grade level scores.
OC. The pages from the three books have the same mean grade level scores.
Transcribed Image Text:A simple random sample of 12 pages was obtained from each of three different books. The Flesch reading ease score was obtained for each of those pages. The Flesch reading ease scoring system results in higher scores for text that is easier to read. Low scores are associated with works that are difficult to read. When the Flesch-Kincaid grade level scores are used instead, the analysis of variance results from software are as shown in the table below. Assume that we want to use a 0.05 significance level in testing the null hypothesis that the three authors have Flesch-Kincaid grade level scores with the same mean. Click the icon to view the table. Data table Source: DF: SS: MS: Reject the null hypothesis. Reject equality of means. Test Stat, F: Print Treatment: 2 71.187222 35.593611 8.811016 3.284918 0.00086 Error: 33 133.309167 4.039672 Total: 35 204.496389 5.842754 Critical F: Done P-value: □ X a. What is the null hypothesis? A. Ho: pages from the three books have the same mean Flesch reading ease scores. B. Ho: pages from the three books have different mean Flesch reading ease scores. C. Ho: pages from the three books have the same mean Flesch-Kincaid grade level scores. D. Ho: pages from the three books have different mean Flesch-Kincaid grade level scores. b. What is the alternative hypothesis? O A. H₂: pages from the three books have mean grade level scores that are not all equal. B. H₂ pages from the three books have mean grade level scores that are all equal. C. H₂ pages from the three books have mean grade level scores that are not equal to each other. c. Identify the P-value. The P-value is (Round to five decimal places as needed.) d. Based on the preceding results, what do you conclude about equality of the population means? O A. The pages from the three books all has different mean grade level scores. B. The pages from the three books do not have the same mean grade level scores. OC. The pages from the three books have the same mean grade level scores.
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