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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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
1. A company sells packets of cheese crackers that they claim on average, contain at least 20g of cheese crackers. They admit that their claim is wrong (and will refund any money), if a sample of 40 cheese crackers have a mean less than 19.8g. If the standard deviation is 0.5g, determine the critical value that specifies the rejection region. 2. A researcher wishes to test the claim of a particular cereal manufacturer that the mean weight of cereal in the boxes is less than 300g. A sample of 50 boxes yields a sample mean weight of 296g. Assume that the population standard deviation is 5g. a) Can we conclude that the claim is true? Test at α = 0.05. b) Obtain a 95% confidence interval for μ. 3. The time taken to assemble a car in a certain plant has a normal distribution with mean of 25.4 hours and a standard deviation of 4.1 hours. Calculate the probability that a car can be assembled at this plant in the following period of time: a) More than 28.8 hours b) Between 18.6 and 27.5…
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