MATLAB: An Introduction with Applications
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Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The overhead reach distances of adult females are
a. Find the
b. Find the probability that the mean for 20 randomly selected distances is greater than 200.70 cm.
c. Why can the normal distribution be used in part (b), even though the
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- The standard deviation of the distribution of sample means would be equal to:arrow_forwardLength of skateboards in a skateshop are normally distributed with a mean of 32 in and a standard deviation of 0.6 in. The figure below shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve.arrow_forwardFor a population that has a standard deviation of 22, figure the standard deviation of the distribution of means for samples of size (a)2, (b)4, (c)5 and (d)10.arrow_forward
- Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.arrow_forwardEngineers want to design seats in commercial aircraft so that they are wide enough to fit 95%of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.1in. and a standard deviation of 1.2in. Find P95 That is, find the hip breadth for men that separates the smallest 95% from the largest 5%. The hip breadth for men that separates the smallest 95% from the largest 5% is P95=enter your response herein. (Round to one decimal place as needed.)arrow_forwardIn the US women between the ages of 18 to 50 have shoe sizes that approximately follow a normal distribution. The approximate mean is shoe size 8.43 and the standard deviation is 1.35. Find the 90th percentile of this distribution, write the calculator function used to compute the result, and interpret it in a complete sentence.arrow_forward
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