State the null hypothesis and the alternate hypothesis. State the decision rule for 0.01 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.01 significance level. Estimate the p-value.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.

                 
−0.44 −0.24 −0.32 −0.30 +0.41 −0.28 +0.48 +0.24 −0.13
−0.28 −0.62 −0.45 −0.49 −0.57 −0.07 −0.20 −0.53 +0.06
 
  1. State the null hypothesis and the alternate hypothesis.
  2. State the decision rule for 0.01 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
  3. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
  4. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.01 significance level.
  5. Estimate the p-value.

 

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