Assume measurements for Ph levels in soil follow exactly a normal relative frequency distribution with population mean µ = 5 and population standard deviation o = 1.4. Use Empirical rule to determine percentage of Ph levels in interval 3.6 to 7.8.
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- Fuses are known to be normally distributed with a mean failing current of 2 A and a standard deviation of 150 mA (a) Calculate the percentage of the fuses expected to fail at a value greater than 2·3 A (b) Determine the value, to the nearest milliamp, above which 90·3% of the fuses would be expected to fail (c) The fuses are considered to be within tolerance if they have a failure value lying in the range 2 A + / - 220 mA. What percentage of components are likely to be rejected for being out of tolerance?(d) State the 99% confidence limits for the components (e) The board of directors have stated that their expectation of this component is that no more than 3% should be rejected for being out of tolerance, what would be your recommendations to the board with regards to your findings?A type of casting iron has Hall-Petch parameters: σ0 = 36.3 MPa and K = 6.5 MPa ∙ mm^−0.5. For a given sample, the grain size distribution is shown in the diagram below. Each bar represents the percentage of grains in particular size. First, estimate the average grain size based on concept of “weighted mean” (in case you do not know, search for this term). Then, apply Hall-Petch Equation to calculate the yield stress. (Note: 1 μm = 0.001 mm)Shoulder height is known to be normally distributed with a mean of 56.65 inches for males and 52.5 inches for females. The males vary with a standard deviation of 2.46 inches and females at 2.49 inches. find the z-score representing a male whose shoulder height is 49 inches a standardized curve N(0,1) is shown below use this information to find an equivalent shoulder height for females and explain the relevance of this value and shading in the context of the problem
- Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78? (a) Find the area to the right of z = -1 under a standard normal curve. (b) Find the area to the right of z=1 under a standard normal curve. (c) Find the area to the left of z = 1 under a standard normal curve. (d) Find the area between z=-1 and z=1 under a standard normal curve. (e) None of the aboveneed with bell shape curve pleasePLEASE ANSWER ALL THE PARTS OF QUESTION (THIS IS NOT A HRADED ASSIGNMENT)
- At a certain high school, every freshman has his or her height The freshman boys have a mean height of 65.2 inches and a standard deviation of 3.2 inches. The freshman girls have a mean height of 63.5 inches and a standard deviation of 2.7 inches. The proportion of of freshman girls has heights between 60 to 65 inches is 0.6133. What is the interpretation of this normal density area? (i) The proportion of freshman having heights between 60 to 65 inches is 0.6133 (ii) The probability that a randomly selected freshman girl have heights between 60 to 65 inches is 0.6133 or 61.33% Oboth (i) and (ii) are correct We can not interpret the given area..A random sample of 17 adult male wolves from the Canadian Northwest Territories gave an average weight x1 = 98.6 pounds with estimated sample standard deviation s1 = 5.6 pounds. Another sample of 26 adult male wolves from Alaska gave an average weight x2 = 88.2 pounds with estimated sample standard deviation s2 = 6.0 pounds. (a) Categorize the problem below according to parameter being estimated, proportion p, mean μ, difference of means μ1 – μ2, or difference of proportions p1 – p2. Then solve the problem. μp μ1 – μ2p1 – p2 (b) Let μ1 represent the population mean weight of adult male wolves from the Northwest Territories, and let μ2 represent the population mean weight of adult male wolves from Alaska. Find a 99% confidence interval for μ1 – μ2. (Use 1 decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of…