(b)Rods are taken from a bin in which the mean diameter is 8.30 mm and the standarddeviation is 0.40 mm. Bearings are taken from another bin in which the meandiameter is 9.70 mm and the standard deviation is 0.35 mm. A rod and a bearingare both chosen at random. Assume that both diameters are normally distributed.(i)(ii)(iii)Find the probability that the rod will fit inside the bearing with at least 0.10mm clearance?Find the percentage of randomly selected rods and bearings will not fittogether?If it is possible to adjust the mean bearing diameter, determine themaximum bearing diameter value should be adjusted so that the clearancewill be between 0.05 and 0.09 mm?

Solution: Let X be the rods taken from a bin and Y be the bearings taken from another bin. From the…

Answered: Rods are taken from a bin in which the…

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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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1538 and the standard deviation was 314. The test scores of four students selected at random are 1970, 1280, 2260, and 1430. Find the z-scores that correspond to each value and determine whether any of the values are unusual. .... The z-score for 1970 is (Round to two decimal places as needed.) The z-score for 1280 is (Round to two decimal places as needed.) The z-score for 2260 is (Round to two decimal places as needed.) The z-score for 1430 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The unusual value(s) is/are (Use a comma to separate answers as needed.) O B. None of the values are unusual.
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3 In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the standard error? (round to nearest hundredth) What is the Z obt? (round to the nearest tenth)

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