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ens. Calculate the P-value if the observed statistic is x = 11.5. ple mean is approximately normal.

ens. Calculate the P-value if the observed statistic is x = 11.5. ple mean is approximately normal.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis \( H_0: \mu = 12 \) against \( H_1: \mu < 12 \) using a random sample of \( n = 4 \) specimens. Calculate the P-value if the observed statistic is \( \bar{x} = 11.5 \). Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e.g., 98.76543).
Transcribed Image Text:A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis \( H_0: \mu = 12 \) against \( H_1: \mu < 12 \) using a random sample of \( n = 4 \) specimens. Calculate the P-value if the observed statistic is \( \bar{x} = 11.5 \). Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e.g., 98.76543).
A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis \( H_0 : \mu = 12 \) against \( H_1 : \mu < 12 \) using a random sample of \( n = 4 \) specimens. Calculate the P-value if the observed statistic is \( \bar{x} = 11.5 \). Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e.g., 98.76543).
Transcribed Image Text:A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis \( H_0 : \mu = 12 \) against \( H_1 : \mu < 12 \) using a random sample of \( n = 4 \) specimens. Calculate the P-value if the observed statistic is \( \bar{x} = 11.5 \). Suppose that the distribution of the sample mean is approximately normal. Round your final answer to five decimal places (e.g., 98.76543).
Expert Solution
Step 1: Determine the given data in the question

Let mu be the population mean thread elongation.

Given that,

Population mean left parenthesis mu right parenthesis equals 12

Population standard deviation left parenthesis sigma right parenthesis equals 0.5

Sample size left parenthesis n right parenthesis equals 4

Sample mean left parenthesis x with bar on top right parenthesis equals 11.5


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