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 =0.05 significance level of
0: = 115
:>115
where == 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.
What conclusion would you make?
Because the -value of 0.0101<=0.05, we reject 0 . We have proved that the true mean SSHA score in the population of students at her college who are at least 30 years old is greater than 115.
Because the -value of 0.0101<=0.05, we reject 0 . We do not have convincing evidence that the true mean SSHA score in the population of students at her college who are at least 30 years old is 115.
Because the -value of 0.0101<=0.05, we fail to reject 0. We do not have convincing evidence that the true mean SSHA score in the population of students at her college who are at least 30 years old is greater than 115.
Because the -value of 0.0101<=0.05, we reject 0. We have convincing evidence that the true mean SSHA score in the population of students at her college who are at least 30 years old is greater than 115.
Because the -value of 0.0101>=0.05: Fail to reject 0. There is not convincing evidence that the true mean SSHA score in the population of students at her college who are at least 30 years old is greater than 115.
