# Statistics Project #5

Statistics Project #5

Data Set 19 in Appendix B of the textbook (pg 614) contains data from samples of cola cans. These data sets are also built into your StatCrunch program and can be opened from our course home page. Click the StatCrunch button and choose “view the data sets from the textbook”. Open Data Set 19 Cola Weights and Volumes.

The first column contains weights of regular Coke.

The third column contains weights of Diet Coke.

The fifth column contains weights of regular Pepsi.

You will be conducting two hypothesis tests comparing these data sets.

For both tests you need to list all of the following items:

The claim being tested

The Null and Alternative hypotheses

Whether this is a left-tailed, right-tailed or two tailed test

The test statistic

The p value

The initial conclusion

The final conclusion worded in terms of the original claim

Assume the samples are independent simple random samples selected from normally distributed populations. Do not assume the population standard deviations are equal.

You may use the formulas from Chapter 9 or StatCrunch (recommended) to help compute your test statistic and p values.

Test 1: Use a .05 significance level to test the claim that the mean weight of regular Coke is greater than the mean weight of diet Coke.

b. The null and alternative hypotheses:

c. Whether this test is a left-tailed, right-tailed, or two-tailed test.

d. The test statistic:

e. The p value:

f. The initial conclusion:

g. The final conclusion:

a. Claim

b. The null and alternative hypotheses:

c. Whether this test is a left-tailed, right-tailed, or two-tailed test.

e. The p value:

g. The final conclusion:

If there was a difference in the weights of regular Coke and diet Coke, what is the most likely explanation for this difference?

If there was a difference in the weights of regular Coke and regular Pepsi, what do you think might be an explanation for this difference?

Data Set 19 in Appendix B of the textbook (pg 614) contains data from samples of cola cans. These data sets are also built into your StatCrunch program and can be opened from our course home page. Click the StatCrunch button and choose “view the data sets from the textbook”. Open Data Set 19 Cola Weights and Volumes.

The first column contains weights of regular Coke.

The third column contains weights of Diet Coke.

The fifth column contains weights of regular Pepsi.

You will be conducting two hypothesis tests comparing these data sets.

For both tests you need to list all of the following items:

The claim being tested

The Null and Alternative hypotheses

Whether this is a left-tailed, right-tailed or two tailed test

The test statistic

The p value

The initial conclusion

The final conclusion worded in terms of the original claim

Assume the samples are independent simple random samples selected from normally distributed populations. Do not assume the population standard deviations are equal.

You may use the formulas from Chapter 9 or StatCrunch (recommended) to help compute your test statistic and p values.

Test 1: Use a .05 significance level to test the claim that the mean weight of regular Coke is greater than the mean weight of diet Coke.

b. The null and alternative hypotheses:

c. Whether this test is a left-tailed, right-tailed, or two-tailed test.

d. The test statistic:

e. The p value:

f. The initial conclusion:

g. The final conclusion:

a. Claim

b. The null and alternative hypotheses:

c. Whether this test is a left-tailed, right-tailed, or two-tailed test.

e. The p value:

g. The final conclusion:

If there was a difference in the weights of regular Coke and diet Coke, what is the most likely explanation for this difference?

If there was a difference in the weights of regular Coke and regular Pepsi, what do you think might be an explanation for this difference?

You'll get a 304.4KB .ZIP file.