In: Statistics and Probability
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. Picture Click here for the Excel Data File –0.42 –0.17 –0.11 –0.28 +0.33 –0.25 +0.34 +0.25 –0.08 –0.32 –0.54 –0.44 –0.45 –0.64 –0.04 –0.26 –0.44 +0.09 a-1. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .10 significance level. At a level of .10 significance, we reject H0: ? = 0 if t < or t > . (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) a-2. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) a-3. H0: ? = 0. The p-value is