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umka2103 [35]
2 years ago
12

The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience ha

s indicated that the standard deviation of breaking strength is 3.0 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi. (a) Calculate the P-value. Round your answer to 3 decimal places. (b) If α = 0.05, should the fiber be judged acceptable?
Mathematics
1 answer:
Rudiy272 years ago
5 0

Answer:

a. P-value=0.421

b. not significant

Step-by-step explanation:

check attachment for further details

Download pdf
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Answer with explanation:

To test the Significance of the population which is Normally Distributed we will use the following Formula Called Z test

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\Bar X =31.1\\\\ \sigma=6.3\\\\ \mu=25\\\\n=15\\\\z=\frac{31.1-25}{\frac{6.3}{\sqrt{15}}}\\\\z=\frac{6.1\times\sqrt{15}}{6.3}\\\\z=\frac{6.1 \times 3.88}{6.3}\\\\z=3.756

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We will do Hypothesis testing to check whether population mean is different from 25 at the alpha equals 0.01 level of significance.

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