Problem

SmisthCo sells mineral water with a labeled net weight of 16 ounces. We would like to determine if the average weight of SmithCo's mineral water is different from the labeled weight. The company randomly selected 40 cans and the data set is given in the following table:

Can #	Weight
1	15.79
2	16.25
3	16.05
4	15.87
5	15.93
6	15.41
7	15.39
8	15.31
9	16.22
10	16.08
11	16.22
12	15.58
13	16.02
14	16.27
15	15.60
16	15.78
17	15.96
18	15.88
19	15.54
20	15.59
21	16.16
22	16.01
23	16.31
24	16.11
25	15.40
26	15.89
27	15.55
28	16.59
29	15.74
30	15.87
31	16.43
32	15.97
33	16.12
34	15.47
35	15.02
36	16.14
37	16.81
38	16.00
39	14.76
40	14.71

(a) What is the sample mean weight of mineral water bottles?

[ ] ounces

continued.

b. Answer all questions.

i) Define the parameter to be tested.

ii) State the null and the alternative hypotheses for this problem. Write out your test in terms of the parameter defined in part i).

iii) Use StatTools to conduct the hypothesis test using the data above (copy and paste the table on your Excel worksheet). Generate the StatTools report, and copy and paste the screenshot of your report (including your name and report created data and time on top of the report) in the answer box.

Note: Do not attach your Excel file. Points will be deducted if you attach your Excel file instead of providing the screenshot of the StatTools repot. To insert your repot, save your screenshot as a graphic (png) file, and then Insert->Image->Upload Image.

iv) At the 5% level of significance, state your conclusion in plain English in the context of the problem.

v) Upon looking at the result of hypothesis test, SmithCo wants to construct a 95% confidence interval with the margin of error of 0.1 ounces to estimate the mean weight of soup cans. How many samples would be needed to achieve this? Show your work for full credit.

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