significance. 17.38 Pulling wood apart. How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students do- 4step ing a laboratory exercise: m woOD 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 23,040 30,930 32,720 33,650 32,700 32,340 24,050 30,170O 31,300 28,730 31,920

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interval and in Example 17.7 for a test of significance.
17.38 Pulling wood apart. How heavy a load (in pounds) is
needed to pull apart pieces of Douglas fir 4 inches long
and 1.5 inches square? Here are data from students do-
ing a laboratory exercise: m woOD
4step
33,190 31,860 32,590
32,320 33,020 32,030 30,460
26,520 33,280
32,700
23,040 30,930 32,720 33,650 32,340
24,050 30,170 31,300
28,730 31,920
We are willing to regard the wood pieces prepared for
the lab session as an SRS of all similar pieces of Douglas
fir. Engineers also commonly assume that character-
istics of materials vary Normally. Suppose that the
strength of pieces of wood like these follows a Normal
distribution with standard deviation 3000 pounds.
(a) Is there statistically significant evidence at the
a = 0.10 level against the hypothesis that the mean
is 32,500 pounds for the two-sided alternative?
%3D
(b) Is there statistically significant evidence at the
a =D0.10 level against the hypothesis that the mean
is 31,500 pounds for the two-sided alternative?
%3D
Transcribed Image Text:interval and in Example 17.7 for a test of significance. 17.38 Pulling wood apart. How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students do- ing a laboratory exercise: m woOD 4step 33,190 31,860 32,590 32,320 33,020 32,030 30,460 26,520 33,280 32,700 23,040 30,930 32,720 33,650 32,340 24,050 30,170 31,300 28,730 31,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that character- istics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. (a) Is there statistically significant evidence at the a = 0.10 level against the hypothesis that the mean is 32,500 pounds for the two-sided alternative? %3D (b) Is there statistically significant evidence at the a =D0.10 level against the hypothesis that the mean is 31,500 pounds for the two-sided alternative? %3D
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