Question

The standard deviation of heights for students in a school is $0.81$. A random sample of $50$students is taken, and the standard deviation of heights of the sample is $0.96$. A researcher in charge of the study believes the standard deviation of heights for the school is greater than $0.81$.

What type of test should be used?

Short answer

A test of single variance should be used.

Step-by-step solution

Given Information

The standard deviation of heights for students in a school is $0.81$. A random sample of $50$ students is taken, and the standard deviation of heights of the sample is $0.96$.

Explanation

The standard variation of heights for kids in a school, according to the information, is $0.81.$

The standard deviation of the sample heights is $0.81$, and a random sample of $50$pupils is collected.

When the population variance is similar to certain selected values, we learnt that chi-square analysis for single variance can be applied.