1.
To test a claim about the value of the variance or the standard deviation of a population, then the test statistic will follow a chi-square distribution with n - 1 dgrees of freedom,
and is given by the following formula.
$$x^2 = \frac{(n-1)s^2}{\sigma_0^2}$$
The television habits of 30 children were observed. The sample mean was found to be 48.2 hours per week, with a standard deviation of 12.4 hours per week. Test the claim that
the standard deviation was at least 16 hours per week.