MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The lifetime of a certain brand of tires is normally distributed with a mean = 30,000 miles and a standard deviation of 5000 miles. The company has decided to issue a warranty for the tires but does not want to replace more than 2% of the tires that it sells. At what mileage should the warranty take effect?arrow_forwardA professor at a local community college noted that the grades of his students were normally distributed with a mean of 84 and a standard deviation of 6. The professor has informed us that 10 percent of his students received A's while only 2.5 percent of his students failed the course and received F's. a. To the nearest tenth, what is the minimum score needed to make an A? b. To the nearest tenth, what is the maximum score among those who received an F? c. If there were 4 students who did not pass the course, how many students took the course?arrow_forwardSuppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 3000 grams and a standard deviation of 385 grams. If a 32-week gestation period baby weighs 2650 grams and a 41-week gestation period baby weighs 3150 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 41 weighs relatively more since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32. B. The baby born in week 32 weighs relatively more since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 41. C. The…arrow_forward
- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 505 grams. If a 32-week gestation period baby weighs 2575 grams and a 41-week gestation period baby weighs 2775 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The baby born in week 32 weighs relatively less since its z-score, smaller than the z-score of for the baby born in week 41. OB. The baby born in week 32 weighs relatively less since its z-score, larger than the z-score of for the baby born in week 41. OC. The baby born in week 41 weighs relatively less since its z-score, larger than the…arrow_forwardSuppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 340 grams. If a 34-week gestation period baby weighs 2275 grams and a 40-week gestation period baby weighs 2475 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?arrow_forwardAssume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 74 kg and 84 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 74 kg and 84 kg?arrow_forward
- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and a standard deviation of 1000 grams while babies born after a gestation period of 40 weeks have a mean weight of 3500 grams and a standard deviation of 545 grams. If a 35-week gestation period baby weighs 3300 grams and a 41-week gestation period baby weighs 3800 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? ..... Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 41 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 35. O B. The baby born in week 35 weighs relatively more since its z-score, is larger than the z-score of for the baby born in week 41. C. The baby born in week 41 weighs relatively more since its z-score, is…arrow_forwardThe weight of oranges growing in an orchard is normally distributed with a mean weight of 6.5 oz. and a standard deviation of 1 oz. Using the empirical rule, determine what interval would represent weights of the middle 99.7% of all oranges from this orchard.arrow_forwardSuppose a researcher wants to test if the average diastolic blood pressure in Irish-Americans is different than the average diastolic blood pressure in the general population. Note that the average diastolic blood pressure in the general population is 70 mmHG. The researcher recruits 30 Irish-Americans into this particular study and then measures each of their diastolic blood pressures (mmHG). The population of this sample has a standard deviation equal to 3.0. What is the two-sided alternative hypothesis? (in words) Group of answer choices The mean is different than 70 The mean is different than 73 The mean is greater than 70 The mean is greater than 73arrow_forward
- Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3400 grams and a standard deviation of 535 grams. If a 35-week gestation period baby weighs 3200 grams and a 40-week gestation period baby weighs 3700 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 40 weighs relatively more since its z-score, baby born in week 35. B. The baby born in week 35 weighs relatively more since its z-score, baby born in week 40. C. The baby born in week 40 weighs relatively more since its z-score, baby born in week 35. D. The baby born in week 35 weighs relatively more since its z-score,…arrow_forwardSuppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 390 grams. If a 32-week gestation period baby weighs 2150 grams and a 40-week gestation period baby weighs 2350 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?arrow_forwardThe weights of a certain brand of candies are normally distributed with a mean weight of 0.8607g and a standard deviation of 0.0514g. A sample of these candies came from a package containing 451candies and the package label stated that the net weight is 385.3g. (If every package has 451 candies, the mean weight of the candies must exceed 385.3451=0.8543g for the net contents to weigh at least 385.3g.) If 1 candy is randomly selected, find the probability that it weighs more than 0.8543g.arrow_forward
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