MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
D. Solve the following problems. A survey was given to 18 employees. One question asked about the one-way distance the employee had to travel for work. The results, in kilometers, are shown below. Use the median procedure for finding quartiles to find the first, second, and third quartiles for the data. Kilometers Traveled for Work 12 10 18 3 4 28 5 32 26 10 41 85 1 7 8 5 10 15 ● A random sample of 80 tires showed that the mean mileage per tire was 41,700 mi, with a standard deviation of 4300 mi. a. Determine the z-score, to the nearest hundredth, for a tire that provided 46,300 mi of wear. b. The z-score for one tire was -2.44. What mileage did this tire provide? Round your result to the nearest hundred miles. E. Solve the following problems. The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal, with a mean of 266 days and a standard deviation of 16 days. Draw a normal curve for this distribution on which the mean and standard deviation are correctly located. The concentration of the active ingredient in capsules of a prescription painkiller varies according to a normal distribution with µ = 10% and o = 0.2%. a. What is the median concentration? Explain your answer. b. What interval of concentrations covers the middle 95 percent of all the capsules? c. What interval covers the middle half of all capsules?
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Transcribed Image Text:D. Solve the following problems. A survey was given to 18 employees. One question asked about the one-way distance the employee had to travel for work. The results, in kilometers, are shown below. Use the median procedure for finding quartiles to find the first, second, and third quartiles for the data. Kilometers Traveled for Work 12 10 18 3 4 28 5 32 26 10 41 85 1 7 8 5 10 15 ● A random sample of 80 tires showed that the mean mileage per tire was 41,700 mi, with a standard deviation of 4300 mi. a. Determine the z-score, to the nearest hundredth, for a tire that provided 46,300 mi of wear. b. The z-score for one tire was -2.44. What mileage did this tire provide? Round your result to the nearest hundred miles. E. Solve the following problems. The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal, with a mean of 266 days and a standard deviation of 16 days. Draw a normal curve for this distribution on which the mean and standard deviation are correctly located. The concentration of the active ingredient in capsules of a prescription painkiller varies according to a normal distribution with µ = 10% and o = 0.2%. a. What is the median concentration? Explain your answer. b. What interval of concentrations covers the middle 95 percent of all the capsules? c. What interval covers the middle half of all capsules?
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