A manufacturer produces crankshafts for an automobile engine. The crankshafts wear after 100,000 miles(0.0001 inch) is of interest because it is likely to have an impact on warranty claims. A random sample ofn = 15 shafts is tested and = 2.78. It is known that o = 0.9 and that wear is normally distributed.Question 1: Parameter of interest for this testQuestion 2: Test Họ: µ = 2.5 versus Hj: µ # 2.5, a = 0.05Question 3: What is the power of the test if true u = 3.10Question 4: Sample size required to detect a true mean of 3.10 if we wanted the power to be at least 0.9? Question 1a. nz 15Question 2b.n =24v Question 3C. Fail to reject Ho. There is no sufficient evidence tosupport the claim that the mean wear of crankshaftsQuestion 4differs from 2.5 at a = 0.05d.0.2670e. Reject Ho. There is evidence to support the claim thatthe mean wear differs from 2.5 at a = 0.05f. Mean wear of crankshaftsg. 0.7330

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Answered: A manufacturer produces crankshafts for…

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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Automobile Parts: An important manufacturing process produces cylindrical component parts for the automotive industry. It is important that the process produce parts having a mean diameter of 5.0 millimeters. The engineer involved conjectures that the population mean is 5.0 millimeters. An experiment is conducted in which 100 parts produced by the process are selected randomly and the diameter measured on each. It is known that the population standard deviation is σ = 0.1 millimeter. The experiment indicates a sample average diameter of x = 5.027 millimeters. Does this sample information appear to support or refute the engineer's conjecture?
Independent random samples from normal populations produced the results shown in the table to the right. Assume that the population variances are equal. Complete parts a through d below. a. Calculate the pooled estimate of o². 2 S. = (Round to four decimal places as needed.) b. Do the data provide sufficient evidence to indicate that μ₂ > μ₁? Test using α = 0.10. What are the null and alternative hypotheses? OA. Ho: H₁-H₂ = 0.10 Hai H- Hy 20.10 OC. Ho: H₁-H₂=0 Ha H-Hz0 Ş H₂ = 0.10 Ha: H - Hz≤0.10 Vi (1,0) Sample 1 1.3 2.9 1.6 2.9 2.8 More Sample 2 4.4 2.6 3.8 4.1
For a population with a mean of u = 60 and a standard deviation of o = 4, a score of X = 56 corresponds to a z-score of z 3-0.50, %3D O True O False
TF.17 The average number of UHD TVs sold daily at a Best Buy store is known to be 28 and approximately normally distributed. A random sample of 21 days shows sample mean x̄ = 31 with standard deviation s = 7.7. Test the hypothesis Ho : μ = 28 against Ha : μ ≠ 28 at α = 0.10 and at α = 0.05 levels of significance. Use t-distribution.
As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
Question 4
D.1.2 Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of a random sample of 10 containers are 10.2, 9.7, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.13, and 9.8 liters. Use α 0.01 level of significance and assume that the distribution of contents is normal.
J A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also found that men's heights are normally distributed with mean 67.5 in. and standard deviation 3.4 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum o 64 in. Complete parts (a) and (b) below. ... a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park? The percentage of men who meet the height requirement is 3.8%. (Round to two decimal places as needed.) an example

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