Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:79.8 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.775.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).(a) Calculate a point estimate of the mean pull-off force of all connectors in the population (Round the answer to four decimal places(e.g. 90.2353).)(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from thestrongest 50% (Express the answer to two decimal place (e.g. 90.15).)(c) Calculate the point estimate of the population variance (Round the answer to three decimal places (e.g. 3.567).)(d) Calculate the point estimate of the population standard deviation (Round the answer to two decimal places (e.g. 1.23).)(e) Calculate the standard error of the point estimate found in part (a) (Round the answer to two decimal places (e.g. 1.23).)(f) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds (Roundthe answer to three decimal places (e.g. 0.123).)

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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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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.5 7.2 7.3 6.3 8.1 6.8 7.0 7.1 6.8 6.5 7.0 6.3 7.9 9.0 8.9 8.7 7.8 9.7 7.4 7.7 9.7 7.9 7.7 11.6 11.3 11.8 10.7 The data below give accompanying strength observations for cylinders. 6.5 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.4 7.1 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.5 Prior to obtaining data, denote the beam strengths by X,, . Xm and the cylinder strengths by Y,, . Y. Suppose that the X,'s constitute a random sample from a distribution with mean u, and standard deviation o, and that the Y's form a random sample (independent of the X's) from another distribution with mean H2 and standard deviation (a) Use rules of expected value to show that X – Y is an unbiased estimator of µ, - µ. E(X – Y) E(X) – E(Y) = H1 - H2 nm E(X - Y) (E) – E(Y)* = l1 - 42 E(X - Y) = nm( E(X) – E(Yn) = H1 - H2 E(X – Y) E(X - Y) = V E(X) – E(Y) = µ1 – H2 E(X) – E(Y) = µ1 - 42 Calculate the estimate for the given data.…
Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of u = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that o = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 16.4 ft; H,: µ > 16.4 ft O Ho: H 16.4 ft; H,: µ = 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.…
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Amxkfoeowzmxnd......akzeowowjakqka Answer only H-P
Pulling Apart Wood. How heavy a load (in pounds) is 4step needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise: 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32.340 24,050 30,170 31,300 28,730 31,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution, with standard deviation 3000 pounds. Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 32,500 pounds for the two-sided alternative? Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 31,500 pounds for the two-sided alternative?

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