[All Steps] Consider the particle size of a particular product. The product specifications require that the variance of the particle sizes be 14.40. Production
Question: Consider the particle size of a particular product. The product specifications require that the variance of the particle sizes be 14.40. Production personnel measured the particle size for a sample of 25 observations, with the following results:
- Conduct a hypothesis test to test the claim that the variance of the particle sizes is 14.40. Use an α = 0.05.
- Construct a 95% confidence interval for the true variance of the particle sizes.
- What assumptions did you have to make in order to perform the above analyses? Please evaluate how well the data meet the assumptions.
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