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)Assume that ui and µ2 are the averages of maximum speeds of new high-tech electric scooter types. Use the t test at significance level 0.01 to test Ho: µi - µ2 = -18 versus H.: μι - μ2<18 for the following data: ni = 6, x1=117.8, si=5.06, n2 = 6, xz= 128.2, and s2 = 5.28. (where n, , and s denote the sample size, sample mean and sample standard deviation respectively.) %3D
- 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 problemPulse 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 aboveWeights of a certain product follow Normal Distribution with unknownparameters. Based on the past experience, we knew that 7.5% of all theproducts weigh less than 11.188 gr and 6% of all products weigh more than18.0765 gr. Subject to the experience, calculate parameter values of thedistribution.
- need with bell shape curve pleasePLEASE ANSWER ALL THE PARTS OF QUESTION (THIS IS NOT A HRADED ASSIGNMENT)Climate change and CO2 2011 Data collected fromaround the globe show that the earth is getting warmer.The most common theory relates climate change to anincrease in atmospheric levels of carbon dioxide (CO2),a greenhouse gas. The mean annual CO2 concentration inthe atmosphere (parts per million) is measured at the top of Mauna Loa in Hawaii, away from any local contami-nants. (Available at ftp://ftp.cmdl.noaa.gov/ccg/co2/ trends/co2_annmean_mlo.tx)The mean surface air temperature is recorded as thechange in °C relative to a base period of 1951 to 1980.(Available at data.giss.nasa.gov/gistemp/graphs_v3/)Here are a scatterplot and regression for the years from1959 to 2011:Dependent variable is TempR-squared = 82.3%s = 0.0985 with 53 - 2 = 51 degrees of freedomVariable Coefficient SE(Coeff) t-Ratio P-ValueIntercept -2.98861 0.2086 -14.3 ...0.0001CO2 0.0092 0.0006 15.4 ...0.0001a) Write the equation of the regression line.b) Is there evidence of an association between CO2 leveland global…
- I hope the solution is to choose the correct one only, no moreAt 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..What level of measurement would be used to measure the colors of insulated tumblers sold in a bazaar during a specific month? Ratio O Interval Nominal Ordinal
