The Survey of Study Habits and Attitudes (SSHA) is a psychological test with scores that range from 0 to 200. The mean score for U.S. college students is 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 students from the more than 1000 students at her college who are at least 30 years of age. The teacher wants to perform a test at the a= 0.05 significance level of Ho : μ = 115 Hg : μ > 115 where μ = the mean SSHA score in the population of students at her college who are at least 30 years old. The sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. Find and interpret the P-value. The P-value is 0.0202. Assuming that the true mean SSHA score is 115, there is a 0.0202 probability of getting a sample mean SSHA score at least as far as 125.7 (in either direction) just by chance in a random sample of 45 students. The P-value is 0.0101. Assuming that the true mean SSHA score is 115, there is a 0.0101 probability of getting a sample mean SSHA score of 125.7 or greater just by chance in a random sample of 45 students. The P-value is 0.9899. Assuming that the true mean SSHA score is 115, there is a 0.9899 probability of getting a sample mean SSHA score of 125.7 or less just by chance in a random sample of 45 students. The P-value is 0.0101. Assuming that the true mean SSHA score is 115, there is a 0.0101 probability of getting a sample mean SSHA score of 125.7 just by chance in a random sample of 45 students. The P-value is 0.0202. Assuming that the true mean SSHA score is 115, there is a 0.0202 probability of getting a sample mean SSHA score of 125.7 or greater just by chance in a random sample of 45 students.

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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The Survey of Study Habits and Attitudes (SSHA) is a psychological test with scores that range from 0 to 200. The mean score
for U.S. college students is 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA
to an SRS of 45 students from the more than 1000 students at her college who are at least 30 years of age. The teacher wants to
perform a test at the a = 0.05 significance level of
Ho μ = 115
Ha: μ> 115
where μ = the mean SSHA score in the population of students at her college who are at least 30 years old. The sample mean
SSHA score was 125.7 and the sample standard deviation was 29.8.
Find and interpret the P-value.
The P-value is 0.0202. Assuming that the true mean SSHA score is 115, there is a 0.0202 probability of getting a
sample mean SSHA score at least as far as 125.7 (in either direction) just by chance in a random sample of 45 students.
The P-value is 0.0101. Assuming that the true mean SSHA score is 115, there is a 0.0101 probability of getting a
sample mean SSHA score of 125.7 or greater just by chance in a random sample of 45 students.
The P-value is 0.9899. Assuming that the true mean SSHA score is 115, there is a 0.9899 probability of getting a
sample mean SSHA score of 125.7 or less just by chance in a random sample of 45 students.
The P-value is 0.0101. Assuming that the true mean SSHA score is 115, there is a 0.0101 probability of getting a
sample mean SSHA score of 125.7 just by chance in a random sample of 45 students.
The P-value is 0.0202. Assuming that the true mean SSHA score is 115, there is a 0.0202 probability of getting a
sample mean SSHA score of 125.7 or greater just by chance in a random sample of 45 students.
Transcribed Image Text:The Survey of Study Habits and Attitudes (SSHA) is a psychological test with scores that range from 0 to 200. The mean score for U.S. college students is 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 students from the more than 1000 students at her college who are at least 30 years of age. The teacher wants to perform a test at the a = 0.05 significance level of Ho μ = 115 Ha: μ> 115 where μ = the mean SSHA score in the population of students at her college who are at least 30 years old. The sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. Find and interpret the P-value. The P-value is 0.0202. Assuming that the true mean SSHA score is 115, there is a 0.0202 probability of getting a sample mean SSHA score at least as far as 125.7 (in either direction) just by chance in a random sample of 45 students. The P-value is 0.0101. Assuming that the true mean SSHA score is 115, there is a 0.0101 probability of getting a sample mean SSHA score of 125.7 or greater just by chance in a random sample of 45 students. The P-value is 0.9899. Assuming that the true mean SSHA score is 115, there is a 0.9899 probability of getting a sample mean SSHA score of 125.7 or less just by chance in a random sample of 45 students. The P-value is 0.0101. Assuming that the true mean SSHA score is 115, there is a 0.0101 probability of getting a sample mean SSHA score of 125.7 just by chance in a random sample of 45 students. The P-value is 0.0202. Assuming that the true mean SSHA score is 115, there is a 0.0202 probability of getting a sample mean SSHA score of 125.7 or greater just by chance in a random sample of 45 students.
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