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.
−0.16 | −0.15 | −0.20 | −0.17 | +0.26 | −0.19 | +0.30 | +0.43 | −0.10 |
−0.31 | −0.48 | −0.44 | −0.51 | −0.67 | −0.05 | −0.24 | −0.51 | +0.05 |
State the null hypothesis and the alternate hypothesis
State the decision rule for 0.05 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.)