Question

The Ajax Company just bought a new machine that makes boots. In a random sample of forty boots produced by the new machine, they find that the mean weight is 1550 grams with a standard deviation of 210 grams. Their old machine produced boots with a true mean weight of 1450 grams. (Answer all 4 parts)

1. Find a 95% confidence interval for the true mean weight using the new machine.
2. Interpret the confidence interval in context.
3. Find the error bound of the above interval.
4. Is there evidence that the true mean weight for the new machine is different than that of the old machine? Justify!

For any Hypothesis Test make sure to state Ho, Ha, Test statistic, p-value, whether you reject Ho, and your conclusion in the words of the claim.For any confidence interval make sure that you interpret the interval in context, in addition to using it for inference.

Answer 1