Coke and Pepsi Data set 26 "Cola weights and Volumes" in Appendix B includes volumes of the contents of cans of regular Coke (n =36, x =12.19 oz, s= 0.11 oz) and volumes of the contents of cans of regular Pepsi(n = 36, x = 12.29oz, s = 0.09 oz)

a. Use a 0.05 significance level to test the claim that cans of regular Coke and regular Pepsi have the same mean volume.

Assume that the two samples are independent simple random samples selected from normally

distributed populations, and do not assume that the population standard deviations are equal.

[Hint: STAT -TESTS -2-SampleTTest, and then complete the required statistics] Select the appropriate

one below and complete the required values.

2 - SampTTest

Inpt: [Data] OR Inpt: [Stats]

List1: L1

1:

x

List2: L2

1:

Sx

Freq1: 1

1:

n

Freq2: 2

2:

x

1: 2 2 2

2:

Sx

:

Pooled No Yes

2:

n

Calculate

1: 2 2 2

:

Pooled No Yes

Calculate.

What is the test statistics? ______________________

What is the P - Value? __________________________

Should we reject or accept H0? __________________________

Give reasons for your answer____________________________

State your conclusion in the context of the problem.

b. Construct the confidence interval appropriate for the hypothesis test in part (A)

[Hint: STAT TESTS -2-SampTInt, and then complete the required statistics]

Select the appropriate one below and fill out the required values.

2 - SampTInt

Inpt: [Data] OR Inpt: [Stats]

List1: L1

1:

x

List2: L2

1:

Sx

Freq1: 1

1:

n

Freq2: 2

2:

x

:____________

C Level

2:

Sx

:

Pooled No Yes

2:

n

Calculate

:_______________

C Level

:

Pooled No Yes

Calculate.

What is the confidence interval?

c. Can you explain why cans of Diet Coke would weigh less than cans of regular coke.