#1

A candy company makes chocolates in two flavors, milk anddark. Brenda is a quality control manager for the company who wantsto make sure that each jumbo bag contains about the same number ofchocolates, regardless of flavor. She collects two random samplesof 15 bags of chocolates from each flavor and counts the number ofchocolates in each bag. Assume that both flavors have a standarddeviation of 9.5 chocolates per bag and that the number ofchocolates per bag for both flavors is normally distributed. Letthe number of milk chocolates be the first sample, and let thenumber of dark chocolates be the second sample.

She conducts a two-mean hypothesis test at the 0.01 level ofsignificance, to test if there is evidence that both flavors havethe same number of chips in each bag.

For this test: H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailedtest.

The test results are: z≈3.99 , p-value is approximately0.000

Which of the following are appropriate conclusions for thishypothesis test? Select all that apply.

A. Fail to reject H0

B. Reject H0.

C. There is sufficient evidence at the 0.01 level ofsignificance to conclude that the mean number of chocolates per bagfor milk chocolates is different the mean number of chocolates perbag for dark chocolates.

D. There is insufficient evidence at the 0.01 level ofsignificance to conclude that the mean number of chocolates per bagfor milk chocolates is different than the mean number of chocolatesper bag for dark chocolates.