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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?

Find the approximate range for the p-value knowing the test statistic is3.76.Use the t-table below to find your answer.

Probability 0.10 0.05 0.025 0.01 0.005
Degrees of Freedom
1 3.078 6.314 12.706 31.821 63.657
2 1.886 2.920 4.303 6.965 9.925
3 1.638 2.353 3.182 4.541 5.841
4 1.533 2.132 2.776 3.747 4.604
5 1.476 2.015 2.571 3.365 4.032
6 1.440 1.943 2.447 3.143 3.707
7 1.415 1.895 2.365 2.998 3.499
8 1.397 1.860 2.306 2.896 3.355
9 1.383 1.833 2.262 2.821 3.250

Provide your answer below:

The p-value falls between and .

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