Question: An electronics shop recently acquired a 3-D printer that can produce two custom parts at once, with one part printed on the left side of
An electronics shop recently acquired a 3-D printer that can produce two custom parts at once, with one part printed on the left side of the printer and the other part printed on the right side of the printer. A quality control manager believes parts are not being printed at aconsistent weight, so they randomly selected 6 part designs and have the printer produce those parts. Then, the left and right sidesare weighed and the results recorded. The results (in ounces) are shown in the table below.
Note: d=(LeftRight)
| Left side (in ounces) | Right side (in ounces) |
|---|---|
| 30.4 | 28.9 |
| 29.8 | 29.8 |
| 30.8 | 27.2 |
| 27.2 | 23.1 |
| 26.9 | 24.6 |
| 28.2 | 26.1 |
Assume that both of the populations are normally distributed. At the 0.025 level of significance, is there sufficient evidence to show that the left side of the printer has more weight than the right side?
With a p-value between0.005 and 0.01,draw a conclusion and interpret the results of this hypothesis test.
Select the correct answer below:
Reject the null hypothesis. There is sufficient evidence to show that the left side of the printer has more weight than the right side.
Fail to reject the null hypothesis. There is sufficient evidence to show that the left side of the printer has more weight than the right side.
Fail to reject the null hypothesis. There is not sufficient evidence to show that the left side of the printer has more weight than the right side.
Reject the null hypothesis. There is not sufficient evidence to show that the left side of the printer has more weight than the right side.
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