MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Assume that adults have IQ scores that are normally distributed with a mean of 101.1 and a standard deviation 19.5. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of 97.4 and a standard deviation 21.2. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)arrow_forwardA survey found that women's heights are normally distributed with mean 63.2in. and standard deviation 2.7in. The survey also found that men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.6.Complete parts a through c below. a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement. The percentage of women who meet the height requirement is (Round to two decimal places as needed.) b. Find the percentage of men meeting the height requirement. The percentage of men who meet the height requirement is (Round to two decimal places as needed.) c. If the height requirements are changed to exclude only the tallest 5% of men and the shortest 5% of women, what are the new height requirements? The new height requirements are at least in. and at most in. (Round to one decimal place as needed.)arrow_forward
- Find Test Statistic, P value, and Z score.arrow_forwardThe manager at UPS feels that the weights of packages shipped recently are less than in he past. Records show that in the past packages have had a population mean weight of 36.7 pounds and a population standard deviation of 14.2 pounds. A random sample of last month's shipping records yielded a sample mean weight of 32.1 pounds for 64 packages. Does this indicate that the weights of packages recently shipped is less than 36.7 pounds? Use a = 0.01. Use the Classical Approach.arrow_forwardThe average score on a statistics test was 2.36 with a standard deviation of 0.69. The professor suspects that the test was very difficult; accordingly, he wishes to adjust the scores so that the mean is 3.97 and the standard deviation is 0.25. Calculate the a and b values so that the aX+b type adjustment gives the desired mean and variance? Calculate: a= b=arrow_forward
- Almost everyone who regularly drives his or her car in a large North American City agrees that traffic is getting worse. A randomly selected sample of 100 cars had their speeds measured on a freeway during rush hour. The sample mean is 17.2 mph (miles per hour). Traffic engineers determined that two years ago the mean and standard deviation of speeds on the same freeway during rush hour were 18.6 and 6.2 mph, respectively. Q6. Find the p-value of the test to determine how much evidence exists to support the generally held belief that traffic is getting worse. (Assume that the standard deviation of speeds today is unchanged from that of two years ago)arrow_forwardAccording to an automobile association, the average cost of a gallon of regular unleaded fuel at gas stations in a certain month was $2.825. Assume that the standard deviation of such costs is $0.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the month's cost per gallon of regular unleaded fuel is determined for each. Consider x, the sample mean cost per gallon. Complete part a through d. Click the icon to view the table of normal curve areas. a. Calculate P and oarrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 20.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)arrow_forward
- A study of a population showed that males' body temperatures are approximately Normally distributed with a mean of 98.4°F and a population standard deviation of 0.40°F. What body temperature does a male have if he is at the 95th percentile? Draw a well-labeled sketch to support your answer.arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)arrow_forwardUse z-scores to make the following comparison. A high school student took two college entrance exams, scoring 1110 on the SAT and 27 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 130 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.arrow_forward
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