Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...

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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?0.370.34?0.230.30.23?0.12
?0.33?0.49?0.50?0.51?0.64?0.07?0.23?0.770.05

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.

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