Standard deviation Variable Price (in $)ª |Manufacturing time (in hours) Meane 200e 50 0.61e 2e (a) Find the z-score of the price of a product which cost $275. Correct your answer to 2 decimal places. (b) By using Chebyshev's theorem, at least what percentage of the products will have manufacturing time lying within (2. 3 your answer to 1 decimal place. ) standard deviations from the mean? Correct

Standard deviation Variable Price (in $)ª |Manufacturing time (in hours) Meane 200e 50 0.61e 2e (a) Find the z-score of the price of a product which cost $275. Correct your answer to 2 decimal places. (b) By using Chebyshev's theorem, at least what percentage of the products will have manufacturing time lying within (2. 3 your answer to 1 decimal place. ) standard deviations from the mean? Correct

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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Interpret the Z score for a student who scored an 91 on an exam that had a mean of 86 and a standard deviation of 5. One mean above the standard deviation One standard deviation above the mean One standard deviation below the mean One mean below the standard deviation
ats 2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. (a) Graph this normal distribution and label the x-axis. (b) What proportion of these men were between 66 and 68 inches tall? belool vin (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal distribution function in Excel, not the Empirical Rule] (d) What height corresponds to the 95th percentile in the Galton study?
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The table below shows the summary statistics of the sales ($) made by company ABC in 2022. No. of month 12 134,562 135,000 48,997 95,000 185,000 90,000 Mean Median S.D Minimum Maximum Range The monthly profit should be adjusted by multiplying 0.88 then subtracting $30,000. Without calculating the profit for each month, find the new standard deviation of profit for 2022? (2 d.p.)
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To estimate the mean score ?μ of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.6.6.6. You want your sample mean ?⎯⎯⎯x¯ to estimate ?μ with an error of no more than 0.8 points0.8 points in either direction. What standard deviation must x¯ have so that 99.7% of all samples give an x¯ within 0.8 points of μ? Use the 68-95-99.7 rule. Give your answer to four decimal places. standard deviation of x¯: How large an SRS do you need in order to reduce the standard deviation of x¯ to the value you found? Give your answer rounded up to the nearest whole number. SRS size:
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How do you graph grade curves in StatCruch (finding two bounds within grades; ex. D, C, B)??? In other words, finding two cut off scores? Reference: The mean and standard deviation of last semester’s Test 1 scores are 76.5 and 14.8 respectively. Imagine we want to define letter grades using a Normal distribution (assuming this is appropriate). One possible grade distribution could be that the lowest 10% of students earn F’s, the next 15% earn D’s, the next 50% earn C’s, the next 15% earn B’s, and the rest of the students earn A’s. Using the Normal distribution, calculate the Test 1 scores that would separate these letter grades. Your answer needs to include five Normal graphs from StatCrunch where the shaded area on each graph shows the range of scores needed to earn the specific letter grade. Hint: The graphs for A and F will only have one value as a cutoff score whereas the graphs for a B, C, and D will have two cutoff scores. Which students are happy about their curved grades? Why?…