Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent...

1. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.

What are the null and alternative​ hypotheses?

A.

H0​:

μ1=μ2

H1​:

μ1<>

B.

H0​:

μ1=μ2

H1​:

μ1≠μ2

C.

H0​:

μ1=μ2

H1​:

μ1>μ2

D.

H0​:

μ1≠μ2

H1​:

μ1<>

The test​ statistic, t, is

nothing.

​(Round to two decimal places as​ needed.)

The​ P-value is

nothing.

​(Round to three decimal places as​ needed.)

State the conclusion for the test.

A.

Fail to reject

the null hypothesis. There

is

sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.

B.

Reject

the null hypothesis. There

is

sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.

C.

Fail to reject

the null hypothesis. There

is not

sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.

D.

Reject

the null hypothesis. There

is not

sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.

1. Construct a confidence interval appropriate for the hypothesis test in part​ (a).

nothing

lb<><>

lb

​(Round to three decimal places as​ needed.)

Does the confidence interval support the conclusion found with the hypothesis​ test?

▼

No,

Yes,

because the confidence interval contains

▼

zero.

only positive values.

only negative values.