A student asked a statistics professor if grades were marked "on the curve." The professor decided to give the student a project to determine if last year's statistics grades were normally distributed. The professor told the student that last year's mean mark was 70 with a standard deviation of 10 and to use the following results. 
What is the critical value of chi-square at the .05 level?
Definitions:
Random Samples
Selections made in such a way that each member of a population has an equal chance of being included, ensuring the sample's representativeness of the whole.
F-test
A statistical test used to compare the variances of two samples to determine if they come from populations with equal variances.
Population Variances
A measure of the variability or spread of a population's data points, representing the average of the squared deviations from the mean.
Two-tail Test
A statistical test used to determine whether there is a significant difference between a sample and a population mean in either direction.
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