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In: Statistics and Probability

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

The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week.

-0.27 -0.40 -0.16 -0.78 0.58 -0.45 0.58 0.40 -0.64
-0.82 -0.40 -0.73 -0.54 -0.17 -0.69 -0.28 -0.58 0.36

H0: μ = 0

H1: μ ≠ 0

Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.10 significance level.

a. At a level of 0.10 significance, we reject H0: μ = 0. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.)

If t <  or t >   , reject H0.

b. What is the value of the test statistic? (Round the final answer to 3 decimal places.)

Value of the test statistic =            

c. What is your decision regarding H0?

(Click to select)  Reject  Do not reject  H0: μ = 0.

d. What is the p-value?

The p-value is             (Click to select)  0.050 and 0.10  0.020 and 0.05  .

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