Watch Corporation of Switzerland claims that its watches on average will neither
ID: 3314547 • Letter: W
Question
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.
–0.30
–0.27
–0.34
–0.25
+0.31
–0.20
+0.36
+0.24
–0.19
–0.40
–0.49
–0.55
–0.55
–0.67
–0.03
–0.23
–0.54
+0.08
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: = 0 if t < or t > . (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
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.
Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of variable
H0 : = 0
HA : 0
Hypothesis test results:
Hence,
a - 1) Reject H0: = 0 if t < -2.567 or t > 2.567
a - 2) Test statistic = -3.080
a - 3) Reject; p - Value is between 0.001 and 0.01
Variable Sample Mean Std. Err. DF T-Stat P-value Data -0.22333333 0.072499718 17 -3.0804717 0.0068Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.