MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The lengths of bolts produced in a factory may be taken to be
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- The U.S. Department of Transportation provides the number of miles that residents of the 75 largest metropolitan areas travel per day in a car. Suppose that for a random sample of 75 Buffalo residents the mean is 25 miles a day. The standard deviation of the population (Buffalo residents) is 5.1 miles a day. For an independent random sample of 60 Boston residents the mean is 23 miles a day. The standard deviation of the population (Boston residents) is 8.2 miles a day. Consider the following hypothesis test. Mean 1 = Buffalo residents ; Mean 2 = Boston Residents Ho : 1 – H2 = 0 H : H1 - 42 0 At alpha = 0.05 what is your conclusion? 0.05 -3.6 0002 0002 0001 0001 .0001 .0001 000 0001 .0001 0001 0.01 0.02 0.04 0.06 0.07 0.09 0.00 0.03 0.08 -3.5 .0002 0002 .0002 0002 .0002 .0002 0002 .0002 .0002 0002 -3.4 0003 .0003 .0003 0003 .0003 0003 0003 0003 0003 0002 -33 0005 0005 0005 0004 .0004 .0004 0004 0004 0004 0003 -32 0007 -3.1 0010 .0007 0006 0006 .0006 .0006 0006 0005 .0005 0005 0009 .0009…arrow_forwardThe City of Calgary reports that the number of vehicles that use the Crowchild Trail bridge various on weekdays. This variation can be modeled by the Normal distribution with a mean of 107500 vehicles and a standard deviation of 8800 vehicles per day. You pick a weekday at random and set out a traffic counter on both the north-bound and south-bound lanes of the Crowchild Trail bridge. At the end of a 24-hour period, you are to download the data from the traffic counter and add the two figures to represent the total vehicle usage,X. (a) What is the probability that the total vehicle usage figure will be more than 120500 vehicles? P(X≥120500)= (b) What is the probability that the total vehicle usage figure will be between 80000 and 101000? P(80000≤X≤101000)= (c) Find the 91 percentile. That is, 91% of the time, the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period is at most how many? (d) 9% of the time, the total number of vehicles that use the…arrow_forwardImagine that every elementary school in California is measured on several characteristics and then given an overall Quality Score. In Los Angeles Unified School District, the schools have an average (mean) quality score of 101.8 with a standard deviation of 7.2. One school in Los Angeles, Carver Elementary, gets a quality score of 104.5. In San Francisco Unified School District, the schools have an average (mean) quality score of 102.3 with a standard deviation of 9.4. One school in San Francisco, Bryant Elementary, gets a quality score of 99.5. Find the Z-scores for both of these two schools (Carver Elementary in Los Angeles, and Bryant Elementary in San Francisco)arrow_forward
- The shape of the distribution of the time required to get an oil change at a 20-minuteoil-change facility is unknown. However, records indicate that the mean time is 21.2 minutes, and the standard deviation is 4.5 minutes. Complete parts (a) through (c).arrow_forwardThe time it needs a communications worker to arrange a domestic phone call is normally distributed with mean Fifty seconds and a standard deviation of Eight seconds. Find the proportion of times that someone has to wait for more than a minute for the call to be placed.arrow_forwardThe tallest living man at one time had a height of 220 cm. The shortest living man at that time had a height of 136.8 cm. Heights of men at that time had a mean of 173.88 cm and a standard deviation of 5.13 cm. Which of these men had the height that was more extreme?arrow_forward
- In a bell-shaped distribution, 95 % of the data falls within 1 standard deviation of the mean.arrow_forwardIt has been found that with the standard dosage of a drug, the change in people’s uric acid levelis normally distributed with a mean of 240 and a standard deviation of 60. What proportionof people receiving the standard dosage of this drug experience changes in uric acid levelbetween 210 and 270?arrow_forwardA vending machine is designed to dispense a mean of 7.4 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.4 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.44 ozarrow_forward
- The mean weight of an adult Golden Retriever is 67 pounds with a standard deviation of 2.5 pounds. The mean weight of an adult St Bernard is 192 pounts with a standard deviation of 16 pounds. Rachel has a Golden Retriever that weighs 70.2 pounds and JD has a St Bernard that weighs 215 pounds. Who has the larger dog relative to their breed?arrow_forwardThe tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 92.3 cm. Heights of men at that time had a mean of 174.73 cm and a standard deviation of 6.23 cm. Which of these two men had the height that was more extreme?arrow_forwardThe speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.arrow_forward
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