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. Higher scores indicate more positive attitudes. 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.

Answer 1

Answer:

The conditions for carrying out a significance test are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

Step-by-step explanation:

SRS means simple random sample; it is a sampling technique in which individuals can be chosen from the population in such a way that every individual stands an equal chance to be selected as the sample.

The conditions needed or required to carry out a significance test of the teacher's suspicion are:

1. It must be a Random sampling

2. It should be a Normal distribution

3. It should be Independent

All of these conditions are met; the sampling is random as indicated by SRS, it is a normal distribution because one popular rule states that a sample size of at least 30 is enough and here we have a sample size of 45, it is independent because the sample size of 45 is less than 10% of the population

Answer 2

Answer:

The teacher's suspicion meets all 3 conditions for carrying out a significance test.

Step-by-step explanation:

The conditions for carrying out a significance test are;

-Random

- Normal

- Independent

Now, let's check these conditions with the question ;

A) Random: The question says ''.... an SRS of 45 of the over 1000 students... ". It's a sample random sample and thus this condition is satisfied.

B) Normal:The central mean theorem states that if a sample mean size is more than 30, then the sampling distribution of the sample mean is approximately normal . In this sample in question, the size is 45 and this is more than 30 and thus we can say it's normal and thus the condition is satisfied.

C) Independent: There are 1000 students and the random sample size is 45 which is less than 10% of that population. Thus, it is said to be independent.