1. A wine manufacturer sells cabernet with a label that asserts an alcohol content of 11%. Sixteen bottles of this label are randomly selected and analyzed for alcohol content. The resulting observations are:
|
10.8
|
9.6
|
9.5
|
11.4
|
9.8
|
9.1
|
10.4
|
10.7
|
|
10.2
|
9.8
|
10.4
|
11.1
|
10.5
|
10.8
|
9.5
|
9.8
|
Looking at the data, the manufacturer is incorrect in its label claim. Perform hypothesis testing to prove or disprove it. Is the manufacturer correct in its label claim? Explain.
2. A survey of 436 workers showed that 192 of them said that it was seriously unethical to monitor employee e-mail. When 121 senior-level bosses were surveyed, 40 said that it was seriously unethical to monitor employee e-mail (based on data from a Gallup poll). Use a 0.05 significance level to test the claim that for those saying that monitoring e-mail is seriously unethical, the proportion of employees is greater than the proportion of bosses.