How strong a force (in pounds) is needed to pull apart pieces of wood 4 inches l
ID: 3231859 • Letter: H
Question
How strong a force (in pounds) is needed to pull apart pieces of wood 4 inches long and 1.5 inches square? The following are data from students performing a comparable laboratory exercise. Suppose that the strength of pieces of wood like these follow a Normal distribution with standard deviation 3000 pounds.
31,940
(a) We are interested in statistical significant evidence at the = 0.10 level for a claim that the mean is 32,500 pounds.
What are the null and alternative hypotheses?
H0: = 32,500
H1: 32,500
H0: = 32,500
H1: < 32,500
H0: 32,500
H1: = 32,500
H0: = 32,500
H1: > 32,500
What is the value of the test statistic. (Round your answer to two decimal places.)
Z=
What is the P-value of the test? (Round your answer to four decimal places.)
P-Value=
What is your conclusion?
There is enough evidence to conclude that the wood's mean strength differs from 32,500 pounds.
There is not enough evidence to conclude that the wood's mean strength differs from 32,500 pounds.
(b) We are interested in statistical significant evidence at the
= 0.10
H0: 31,500
Ha: = 31,500
H0: = 31,500
H1: 31,500
H0: = 31,500
H1: < 31,500
H0: = 31,500
H1: > 31,500
What is the value of the test statistic. (Round your answer to two decimal places.)
Z=
What is the P-value of the test? (Round your answer to four decimal places
P-Value=
What is your conclusion?
There is enough evidence to conclude that the wood's mean strength differs from 31,500 pounds.
There is not enough evidence to conclude that the wood's mean strength differs from 31,500 pounds.
33,240 31,890 32,620 26,510 33,250 32,370 33,000 32,020 30,470 32,680 23,060 30,930 32,670 33,670 32,290 24,040 30,190 31,340 28,770
31,940
(a) We are interested in statistical significant evidence at the = 0.10 level for a claim that the mean is 32,500 pounds.
What are the null and alternative hypotheses?
H0: = 32,500
H1: 32,500
H0: = 32,500
H1: < 32,500
H0: 32,500
H1: = 32,500
H0: = 32,500
H1: > 32,500
What is the value of the test statistic. (Round your answer to two decimal places.)
Z=
What is the P-value of the test? (Round your answer to four decimal places.)
P-Value=
What is your conclusion?
There is enough evidence to conclude that the wood's mean strength differs from 32,500 pounds.
There is not enough evidence to conclude that the wood's mean strength differs from 32,500 pounds.
(b) We are interested in statistical significant evidence at the
= 0.10
level for a claim that the mean is 31,500 pounds.What are the null and alternative hypotheses?
H0: 31,500
Ha: = 31,500
H0: = 31,500
H1: 31,500
H0: = 31,500
H1: < 31,500
H0: = 31,500
H1: > 31,500
What is the value of the test statistic. (Round your answer to two decimal places.)
Z=
What is the P-value of the test? (Round your answer to four decimal places
P-Value=
What is your conclusion?
There is enough evidence to conclude that the wood's mean strength differs from 31,500 pounds.
There is not enough evidence to conclude that the wood's mean strength differs from 31,500 pounds.
Explanation / Answer
a)H0: = 32,500
H1: 32,500
b)std error=std deviation/(n)1/2 =750
sample mean of above data=30797.5
hence test stat z=(X-mean)/std error =(30797.5-32500)/750=-2.27
c)pvalue =0.0232
There is enough evidence to conclude that the wood's mean strength differs from 32,500 pounds.
2nd)
H0: = 31,500
H1: 31,500
Z=(30797.5-31500)/750=-0.9367
p[ vlaue =0.3489
There is not enough evidence to conclude that the wood's mean strength differs from 31,500 pounds
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