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 \( \bar{x} = 11.25 \). Suppose that the distribution of the sample mean is approximately normal.Round your final answer to five decimal places (e.g. 98.76543).

Given thatThe company claims that mean thread elongation of 12 kilograms with a standard deviation…

Answered: A textile fiber manufacturer is…

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 simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below.Question content area bottomPart 1a. Identify the null and alternative hypotheses. Choose the correct answer below.A.H0: σ=10 beats per minuteH1: σ≠10 beats per minuteB.H0: σ≠10 beats per minuteH1: σ=10 beats per minuteC.H0: σ≥10 beats per minuteH1: σ<10 beats per minuteD.H0: σ=10 beats per minuteH1: σ<10 beats per minutePart 2b. Compute the test statistic.χ2=enter your response here (Round to three decimal places as needed.)Part 3c. Find the…
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 11.8 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ≠10 beats per minute D. H0: σ=10 beats per minute H1: σ<10 beats per minute b. Compute the test statistic. χ2=48.73448.734 (Round to three decimal places as needed.) c. Find…
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A simple random sample of 46 men from a normally distributed population results in a standard deviation of 7.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Question content area bottom Part 1 a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ<10 beats per minute D. H0: σ=10 beats per minute H1: σ≠10 beats per minute Your answer is correct. Part 2 b. Compute the test statistic.…
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