4. A textile fiber manufacturer is investigating anew drapery yarn, which the company claimshas a mean thread elongation of 12 kilogramswith a standard deviation of 0.5 kilograms. Thecompany wishes to test the hypothesis Ho : µ=12 against H, :µ < 12, using a random sampleof four specimens. What is the type I errorprobability if the critical region is defined as x <11.5 kilograms?

# Given mean thread elongation =12kg with standard deviations=0.5 kg hypothesis testing H0: mu=12…

Answered: 4. A textile fiber manufacturer is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Researchers measured the length of time people spend brushing their teeth. For the 154 subjects in their study, the mean was 72.8 seconds with a standard deviation of 23. 5 seconds. Use this information with a 0.10 significance level to test the claim that the mean teeth brushing time was less than 80 seconds. What is/are the critical value(s)? TTTArial 3 (12pt) v T- = - E - V · P 只igv
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122.5 grams per apple. Is there sufficient evidence to reject the company’s claim? (useα = 0.05) A. Ho: µ = 120; Ha: µ < 120; Rejection Region: z < -1.64 B. Ho: µ = 120; Ha: µ < 120; Rejection Region: t < -1.80 C. Ho: µ = 120; Ha: µ > 120; Rejection Region: z > 1.64 D. Ho: µ = 120; Ha: µ ≠ 120; Rejection Region: z < -1.96 or z > 1.96 E. Ho: µ = 120; Ha: µ ≠ 120; Rejection Region: t < -2.20 or t > 2.20
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The random variable, x is a water quality parameter, suspended solids with units of parts per million (ppm). A sample size of 60 yields a mean of 59.87 ppm, and a standard deviation of 12.5 ppm. Water quality criteria requires that the suspended solids do not exceed a mean, µ, = 50 ppm . Test the hypotheses H.: u = µ, vs. HA: u > H. (right-tailed test) at a level of significance of 5 % and assume the pop variance is known.
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