MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Reginald Brown, an inspector from the Department of Weights and Measures, weighed 15 eighteen-ounce cereal boxes of corn flakes. He found their
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- A nurse at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 90% confident that the true mean is within 4 ounces of the sample mean? The population standard deviation of the birth weights is known to be 9 ounces.arrow_forwardAssume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.7% of the thermometers are rejected because they have readings that are too high and another 2.7% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. В. D. The cutoff values are degrees. (Use a comma to separate answers as needed. Round to two decimal places as needed.)arrow_forwardPlease solve for parts D, F, and G.arrow_forward
- A variable is normally distributed with a mean of 17 and a standard deviation of 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.a) Find the area to the left of 20. b) Find the area to the left of 11. c) Find the area to the right of 14. d) Find the area to the right of 21. e) Find the area between 11 and 26arrow_forwardIn a factory producing parts for an electronic appliance, the length of a large number of parts were measured. The mean and standard deviation were calculated as 3 mm and 0.05 mm respectively. Assuming the data are normally distributed, between what values do the lengths of the middle 99.7% of the parts fall?arrow_forwardA vendor converts the weights on the packages she sends from pounds to kilograms (1 kg ≈ 2.20 lb). The mean weight of the package was 21 lb with standard deviation of 0.31 lb. After repackaging (converting units), the mean becomes kg (round your answer to 2 decimal places), and the standard deviation becomes kg (round your answer to 2 decimal places).arrow_forward
- Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.7% of the thermometers are rejected because they have readings that are too high and another 2.7% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents the region in which thermometers are rejected? Choose the correct graph below. O A. В. D.arrow_forwardA group of students takes the Kaplan course in hopes that it will improve their SAT scores on the math section above the national mean of 500. The population standard deviation of the SAT is known to be 100. The sample mean for the 215 students was 543.53. Calculate the observed z score for the sample.arrow_forwardA California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.arrow_forward
- For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x = 78.0 beats per minute, and their standard deviation is s = 13.1 beats per minute. %3D a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.)arrow_forwardFor a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38beats per minute, the mean of the listed pulse rates is x =73.0 beats per minute, and their standard deviation is sequals=23.2 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?arrow_forwardAssume that males have a mean hieght of 69.1 in. with a standard deviation of 2.9 in., and females have a mean height of 63.7 in. with a standard deviation of 2.7 in. Based on Z scores, would a 5'4" male or a 4'10" female be taller compared to the rest of their gender?arrow_forward
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