Watch Corporation of Switzerland claims that its watches onaverage will neither gain nor lose time during a week. A sample of18 watches provided the following gains (+) or losses (?) inseconds per week.
Data File
| ?0.29 | ?0.17 | ?0.41 | ?0.37 | 0.34 | ?0.23 | 0.3 | 0.23 | ?0.12 |
| ?0.33 | ?0.49 | ?0.50 | ?0.51 | ?0.64 | ?0.07 | ?0.23 | ?0.77 | 0.05 |
a)State the null hypothesis and the alternate hypothesis. Statethe decision rule for 0.02 significance level. (Negative amountsshould be indicated by a minus sign. Round your answers to 3decimal places.)
b)Compute the value of the test statistic. (Negative amountshould be indicated by a minus sign. Round your answer to 3 decimalplaces.)
c)Is it reasonable to conclude that the mean gain or loss intime for the watches is 0? Use the 0.02 significance level.
d)Estimate the p-value.
