Test of a Single Variance · Exercise 25

The number of births per woman in China is 1.6 down from 5.91 in 1966. This fertility rate has been attributed to the law passed in 1979 restricting births to one per woman. Suppose that a group of students studied whether or not the standard deviation of births per woman was greater than 0.75. They asked 50 women across China the number of births they had had. The results are shown in. Does the students’ survey indicate that the standard deviation is greater than 0.75?

\begin{array}{|c|c|}\hline \text{# of births} & \text{Frequency} \\ \hline \text{0} & \text{5} \\ \hline \text{1} & \text{30} \\ \hline \text{2} & \text{10} \\ \hline \text{3} & \text{5} \\ \hline\end{array}

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Business Statistics 2e · §11.2 Test of a Single Variance · Exercise 25