Q.3 - The Practice of Statistics for AP

Question

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures

students’ attitudes toward school and study habits. Scores range from 0 to 200. 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.

Step-by-Step Solution

Answer

Population mean for the student is$115$as per null hypothesis and it is more than $115$as per alternative hypothesis. 

Step 1: introduction

Given,

Scores range from $0-200$.

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

Calculating the null and alternative hypotheses.

Step 2: explanation

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

Mean population value is$115$ as per the null hypotheses

$\Rightarrow H_0:\mu =115$

Mean population value is greater than $115$ as per the alternative hypotheses

$\Rightarrow H_a:\mu >115$

The population mean for the student is $115$ as per null hypothesis and it is more than $115$ as per alternative hypothesis.