Question

Attitudes The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students’ attitudes toward school and study habits. Scores range from $0to200$. The mean score for U.S. college students is about $115$. A teacher suspects that

older students have better attitudes toward school. She gives the SSHA to an SRS of $45$of the over $1000$students at her college who are at least $30$years of age. Check the conditions for carrying out a significance test of the teacher’s suspicion.

Short answer

The teacher selected an SRS of $45$students. $10\%:45$is less than $10\%$of the population size of $1000$. Normal/Large Sample: $n=45\ge 30$

Step-by-step solution

Given information

Scores range from $0to200$.

The mean score for U.S. college students is about $115$.

A teacher suspects that older students have better attitudes toward school.

She gives the SSHA to an SRS of$45$of the over $1000$students at her college who are at least $30$years of age.

Explanation

The teacher wants to perform a test at the α=0.05 significance level of

$$\begin{gathered} H_O:\mu =115 \\ Ha:\mu >115 \end{gathered}$$

where $\mu =$the mean SSHA score in the population of students at her college who are at least $30$years old. Check if the conditions for performing the test are met.

The teacher selected an SRS of $45$students.

$10\%:45$is less than $10\%$of the population size of $1000$.

Normal/Large Sample:$n=45>30$