Question

How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches...

How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise:

24004 22637 29944 29010 23538
21738 26494 25789 28979 25306
21626 32233 25761 24981 28176
27473 32129 28627 27890 18590

We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3100 pounds.

Give a 90 % confidence interval for the mean load required to pull the wood apart (give your answer with three decimal places).

The sample mean is  (give three decimal places)

90 % confidence interval for the mean load is  to . (give three decimal places)

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Answer #1

Here

sample mean T26246

population standard deviation = 3100

and sample size n=20

a 90 % confidence interval for the mean load required to pull the wood apart

*20.05, (a 20.05 n

B100 3100 20.05, 26246 V20 (26246 20.05 /20

3100 3100 1.64485,26246 + V20 1.64485) /20 (26246 *

(25105.8, 27386.2)

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