Chapter 9.3, Problem 63E

To determine

To check: The condition to conduct the test of significance of the teacher’s suspicion.

Explanation of Solution

Given:

Sample size ( n ) =45.

Sampling technique is simple random.

Concept used:

Following are the main requirements for the significance test:

1. The samples taken from the population are simple random samples.
2. The size of the sample must be at least 30.
3. Population must be at least 10% greater than the sample size.

Here,

1. Sample has been selected through simple random technique.
2. Sample size is 45 which is greater than 30. Thus, the assumption of normality is fulfilled.
3. Sample size is lower than the 10% of the size of the population.

Thus, the conditions to conduct the significance test are fulfilled here.