A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12kilograms with a standard deviation of O.5 kilograms. The company wishes to test the hypothesis Ho : µ = 12 against H1 :µ < 12,using a random sample of 4 specimens.Round your answers to 4 decimal places.(a) What is the type l error probability if the critical region is defined as I < 11.5 kilograms?The type l error probability is i 0.02275(b) Find B for the case where the true mean elongation is 11.27 kilograms.ß =i(c) Find ß for the case where the true mean is 11.5 kilograms.i

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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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The specific gravities of a simple random sample of 91 samples of a particular wort has a mean x ̄ = 1.05 platos and a standard deviation sx = 0.16 platos. Use a 0.05 significance level to test the claim that the mean specific gravity of this wort is less than 1.10.
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
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
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If the researcher decides to test this hypothesis at the = 0.05 level of significance, determine the critical value. The critical value are=_ and=_. Round to three decimal places as needed.
The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 40 drivers over the age of 60 and finds that the mean number of miles driven is 22.7. The population standard deviation is 2.9 miles. At =α0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. State the hypotheses and identify the claim with the correct hypothesis.
We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.
Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ= 100 versus H,: µ> 100. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100. O D. The director is testing if the sample provided sufficient…
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.
Hélène is responsible for a group of travelers who areboast of covering an average of 250 km per day, during a70 day trip. To verify this assertion, Hélènetakes a sample of 20 daily journeys without replacementand finds an average journey of 224 km with a standard deviation21 km sample. Assuming that the route oftravelers is a variable which obeys a normal law, we can say, at the level of significance α = 0.1, that travelersexaggerate in their assertion?

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