Homework SoursePlease pay attention to decimal places Watch Corporation of
Please pay attention to 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.
–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
Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .05 significance level. At a level of .05 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.)
(Click to select)Reject or Do not reject
H0: = 0. The p-value is (Click to select) greater than 0.20 between 0.0100 and 0.020 less than 0.001 between 0.020 and 0.05
| 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. |
Solution
H0: mu =0
Ha: mu not equalto 0
(two tailed test)
t = meandiff/std error = 8.521
df =17
The P-Value is < .00001.
The result is significant at p < .05.
p < 0.001 hence
Hence reject null hypothesis.
Reject null if t > 2.11 or less than -2.11
| Mean | Stddev | Stderror | ||||||||||||||||||
| –0.16 | –0.15 | –0.20 | –0.17 | 0.26 | –0.19 | 0.3 | 0.43 | –0.10 | –0.31 | –0.48 | –0.44 | –0.51 | –0.67 | –0.05 | –0.24 | –0.51 | 0.05 | 0.26 | 0.129458 | 0.030514 |
