6 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 0.5 kilograms. The company wishes to test the hypothesis Ho:H = 12 against H:u < 12,using a random sample of 4 specimens.Round your answers to 4 decimal places.(a) What is the type I error probability if the critical region is defined as T < 11.5 kilograms?The type I error probability isi(b) Find ß for the case where the true mean elongation is 11.22 kilograms.(c) Find B for the case where the true mean is 11.5 kilograms.B =Statictical Tahles and Charts

We have given that mean (µ) = 11.5 Standard deviations (σ) = 0.5 The null and alternative…

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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If the alpha level changed from a=0.05 to a=0.01, what happens to the critical region and ehat happens to the probability of type 1 error
The average number of pounds of sliced ham ordered per customer at the deli where Dennis used to work was 1.4, but at his new job, the average of the 32 people who have ordered ham so far is 1.5 pounds, with a standard deviation of 0.3 pounds. a) Write the null and alternative hypotheses to test if the average amount of ham bought is higher at the new store. H0:μ= H1:μ> b) For α=0.025, find the rejection region in terms of z. [Write your answer with 2 decimal places.] R:z≥ c) What test statistic corresponds to an x¯ of 1.5 pounds? [Round your answer to 2 decimal places.] z= d) Should you reject the null hypothesis?
A person read that the average number of hours and adult sleeps on Friday night to Saturday morning was 7.3 hours. The researcher feels that college students do not sleep 7.3 hours on average. The researcher randomly selected 17 students and found that on average they slept 8.5 hours. The standard deviation of the sample is 1.4 hours. At (alpha) = 0.01, is there enough evidence to say that college students do not sleep 7.3 hours on average? Assume that the population is approximately normally distributed. Use the critical value method and tables. A. State the hypotheses and identify the claim with the correct hypothesis. B. Find the critical value(s). C. Compute the test value. D. Make the decision. E. Summarize the results.
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.
A researcher found that a cigarette smoker smokes on average 30 cigarettes a day. She feels that thisaverage is too high. She selected a random sample of 9 smokers and found that the mean number of cigarettes they smoked perday was 29. The sample standard deviation was 2.3. At a =0.05, is there enough evidence to support her claim? Assume that thepopulation is approximately normally distributed. Use the critical value method and tables. h0: h1:
A random sample of six steel beams has mean compressive strength of 58.392 psi (pounds per square inch) with a standard deviation of s = 648 psi. Test the null hypothesis H, = u = 58,000 psi against the alternative hypothesis H; H> 58,000 psi at 5% level of significance (value for I at 5 degree of freedom and 5% significance level is 2.0157). Here I denotes the population mean (A.MIE, Summer 2000)
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Find the critical value(s) and identify the rejection region(s).

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