Chapter 9.1, Problem 4E

To determine

The significance test conditions need to be explained.

Answer to Problem 4E

The significance test conditions of teacher’s suspicion are met.

Explanation of Solution

Toward the school and study, how the attitude of students is is carried out through one survey or psychological test. The score ranges from $0-200$ and the mean of the students is about $115$ .

As per the teacher: the students who are at least $30$ yrs of age they have better attitude towards school that’s why she selected and gives the SSHA to an SRS of $45$ students out of $1000$ .

The conditions for carrying out the significance test are:

Random:

Stated an SRS of $45$ students was used to take the psychological test.

Normal:

Since, $n=45\ge 30$ , the central limit theorem will apply. The sampling distribution of the sample mean will be approximately normal.

Independent:

  $10\left(45\right)=450$ , it is reasonable to assume there should be at least $450$ older students at this college.

Conclusion:

Hence, the conditions for carrying out the significance test are well explained above.