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Asked Nov 12, 2019

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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. -0.42 -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

Step 1

Given information:

A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week.

-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 |

Sample size (n) = 18

Step 2

The mean gain or loss in time for the watches is 0. So, the null and alternative hypothesis is,

Step 3

Population variance of the given data is unknown. So, we will use t-distribution.

Significance level = 0.10

Degree of freedom = n-1

&nb...

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