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A researcher claims that the variance of the heights of all female college basketball players is 4.80 square inches.A random sample of 28 female college basketball players produced a variance of their heights equal to 11.122 square inches.The null hypothesis is that the variance of the heights of all female college basketball players is equal to 4.80 square inches and the alternative hypothesis is that the variance of the heights of all female college basketball players is not equal to 4.80.Assume that the population is normally distributed.The significance level is 5%.
-The critical values of chi-square are:
A)13.844 and 41.923
B)14.573 and 43.195
C)15.308 and 44.461
D)12.879 and 40.113

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The degrees of freedom for the chi-square test is n-1, which is 27. At a 5% significance level for a two-tailed test, the critical chi-square values for 27 degrees of freedom are approximately 14.573 and 43.195.

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