SOLUTION: 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
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Question 925287: 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.
-.10
-.20
.00
-.32
-.30
-.23
.20
.25
-.10
-.37
-.61
.40
.30
-.64
-.10
.20
-.68
-.20
(a-1)
Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .02 significance level. At a level of .02 significance, we reject H0: μ = 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 2 decimal places.)
You can put this solution on YOUR website! Ho: μ = 0
Ha: u ≠ 0
......
n = 18
sample mean = -.139 and s = .324
......
level of .02 significance. Using z critical value
ME = 2.326(.324/sqrt(18)
CI: -.178 < 0 < .178
Note: small sample (DF = 17) ..may wish to use t-value( for critical value
..........
test stat = -.139/(.324/sqrt(18)) = -1.82
