Pulling wood apart. You want to estimate the mean load needed to pull apart the pieces of wood in Exercise 16.25 (page 390) to within ±600 pounds with 95% confidence. How large a sample is needed?

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give 95 percent confidence interval the main question is 18.43 the other is the data needed for it needed to be done using the calculator method please 

follow the Plan, Solve, and Conclude steps, illustrated in Example
16.2
16.3 for a confidence interval.
4stop
16.25 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 26,520 33,280
32,320 33,020
32,030 30,460 32,700
23,040
30,930 32,720 33,650 32,340
24,050
30,170
31,300 28,730 31,920
(a) 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
characteristics of materials vary Normally. Make a
graph to show the shape of the distribution for these
data. Does it appear safe to assume that the Normal-
ity condition is satisfied? Suppose that the strength
of pieces of wood like these follows a Normal distri-
bution with standard deviation 3000 pounds.
16
Transcribed Image Text:follow the Plan, Solve, and Conclude steps, illustrated in Example 16.2 16.3 for a confidence interval. 4stop 16.25 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 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32,340 24,050 30,170 31,300 28,730 31,920 (a) 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 characteristics of materials vary Normally. Make a graph to show the shape of the distribution for these data. Does it appear safe to assume that the Normal- ity condition is satisfied? Suppose that the strength of pieces of wood like these follows a Normal distri- bution with standard deviation 3000 pounds. 16
18.43 Pulling wood apart. You want to estimate the mean
load needed to pull apart the pieces of wood in Exercise
16.25 (page 390) to within ±600 pounds with 95%
confidence. How large a sample is needed?
The following exercises concern the optional material on the power of
a test.
Transcribed Image Text:18.43 Pulling wood apart. You want to estimate the mean load needed to pull apart the pieces of wood in Exercise 16.25 (page 390) to within ±600 pounds with 95% confidence. How large a sample is needed? The following exercises concern the optional material on the power of a test.
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