a-cereal-company-claims-that-its-cereal-boxes-contain-an-average-of-410-and-nbsp

Question

A cereal company claims that its cereal boxes contain an average of $410 g$ of cereal. A consumer group tests a random sample and constructs a $95 percent sign$ confidence interval for the true mean weight:
$open paren 407.5 g comma 411.2 g close paren$
You are given the following null hypothesis:
$H sub 0 colon mu equals 410 g$
Does the confidence interval suggest that you should reject $H sub 0$ ? Explain your reasoning.

Accepted Answer

No, because 410410 is in the confidence interval, so the sample supports the company's claim.

Answer

Yes, because the confidence interval includes values above 410410.

Answer

Yes, because the confidence interval does not include the sample mean.

Answer

No, because 410410 is the midpoint of the interval.