Watch Corporation of Switzerland claims that its watches on average will neither
ID: 3313977 • 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.
–0.25
–0.28
–0.14
–0.26
+0.27
–0.20
+0.32
+0.31
–0.14
–0.32
–0.65
–0.45
–0.50
–0.69
–0.04
–0.16
–0.53
+0.08
Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .01 significance level. At a level of .01 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 Ho if t < -2.898 or t > 2.898
a - 2) Test statistic = -2.793
a - 3) Do not reject Ho,
p - Value is between 0.010 and 0.02
Variable Sample Mean Std. Err. DF T-Stat P-value Data -0.20166667 0.072198211 17 -2.7932363 0.0125Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.