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The scores on a placement test given to college freshmen for the past five years are...

The scores on a placement test given to college freshmen for the past five years are approximately normally distributed with a mean μ = 74 and a variance σ^2 = 8. Would you still consider σ^2 = 8 to be a valid value of the variance if a random sample or 20 students who take this placement test this year obtain a value of s^2 = 20?

In Chegg, the solve it with excel but I want it by hand.

Thank you.

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