1. The Food and Drug Administration is checking the amount of cereal that a breakfastfood company is putting in their boxes. The packaging process for the breakfast cerealhas been adjusted so that 566 grams of cereal is supposed to be dispensed into eachbox. The standard deviation for the population is unknown, but the standard deviationfrom a sample of 49 boxes is 56 grams. What is the probability that anywhere from 550and 574 grams on average is dispensed in each box?

The amount of cereal that breakfast food company is putting in their boxes follows the normal…

Answered: 1. The Food and Drug Administration is…

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 grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
The Bank of Connecticut issues Visa and MasterCard credit cards. It is estimated that the balances on all Visa credit cards issued by the Bank of Connecticut have a mean of $840 and a standard deviation of $260. Assume that the balances on all these Visa cards follow a normal distribution.a. What is the probability that a randomly selected Visa card issued by this bank has a balance between $1050 and $1420?Round your answer to three decimal places.P= Enter you answer in accordance to the item a) of the question statementb. What percentage of the Visa cards issued by this bank have a balance of $735 or more?Round your answer to two decimal places.P= Enter you answer in accordance to the item b) of the question statement %
The u.s. Bureau of labor statistics reported the mean hourly wage rate for individuals in executive, administrative, and managerial occupations is $26. Assume the population mean is $26 and the population standard deviation is $4. A sample of 115 individuals in executive, administrative, and managerial occupation will be selected. What is the probability that the sample mean will be greater than $27?
Suppose that you are studying the number of vehicles owned by a US household. You find that the average is 1.9 vehicles per household with a standard deviation of 2.8 vehicles per household. What is the most likely shape for the population described above? Find the probability that 40 randomly selected households have an AVERAGE number of vehicles greater than 2.5.
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. If the School of Health Sciences interviews one WSSU student about their score on the MCAT. What is the probability that their score be between 21 and 30?
According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $57,045 and the median household income was $42,148.The variability of household income is quite large with an overall standard deviation of approximately $25000. Suppose a random sample of 225 households was selected. What is the probability that the sample mean would be above $60,245?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
3. A study of the amount of time it takes to rebuild the transmission for a 2005 Chevy Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. Find the probability that their mean rebuild time exceeds 8.7 hours
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
The median annual cost of auto insurance is $ 939 (According to DACO). Suppose the standard deviation is o = $ 241. What is the probability that in a simple random sample of auto insurance policies the sample mean differs more than $ 70.42 from the population mean if the sample size is 45? You must calculate the probability that the difference between the average cost in the sample and the average annual cost do not differ by $ 70.42. Find the probability that P (\ µ - š | 0) = P (-70.42 H-iS 70.42) Select one: a. The probability is 99% that the auto policy will not differ by $ 70.42 from the average annual cost. b. The probability is 50% that the auto policy will not differ by $ 70.42 from the average annual cost. c. The probability is 80% that the auto policy will not differ by $ 70.42 from the average annual cost. d. The probability is 70% that the auto policy will not differ by $ 70.42 from the average annual cost. e. The probability is 95% that the auto policy will not differ by $…
Records from the Washington Department of Licensing show that 47 former SFCC business students have incorporated their own businesses in the last five years. Eight of these students are selected at random and contacted. Each is asked how many people are employed by their corporation. The responses are: 7, 12, 13, 17, 10, 5, 10, and 6 employees. What is your best estimate of the standard deviation of the number of employees for all 47 corporations?

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