Question: 9.49 Plastic sheets produced by a machine are periodically monitored for possible fluctuations in thickness. If the true variance in thicknesses exceeds 1.65 square millimeters,

9.49 Plastic sheets produced by a machine are periodically monitored for possible fluctuations in thickness. If the true variance in thicknesses exceeds 1.65 square millimeters, there is cause for concern about product quality.

Thickness measurements for a random sample of 10 sheets produced in a particular shift were taken, giving the following results (in millimeters):

228 230 228 228 229 227 230 230 225 225

a. Find the sample variance.

b. Test, at the 5% significance level, the null hypothesis that the population variance is at most 1.65.

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