NormPasteB IU ab x. x A鱼,田。斗 TUndoClipboardFontParagraph4. The number of pages in a randomly chosen textbook has (approximately) a bell-or mound-shaped distribution with mean 344.61 and standard deviation 84.23.Use the empirical rule to estimate thea. proportion of textbooks with pages between 260.38 and 428.84.b. proportion of textbooks with pages between 176.15 and 513.07.ABC. proportion of textbooks with pages between 91.92 and 597.3.Abcd. What is the z-score (or standardized score) for a book with 300 pages?Whae. How many standard deviations (and in what direction) is this book from themean?How mfrom thf. What is the z-score (or standardized score) for a book with 1000 pages?What isg. How many standard deviations (and in what direction) is this book from themean?How manyPage 3 of 4479 wordsText Predictions: On* Accessibility: Investigatethe mean?aI0I10144%2334&*6.L.LO%24

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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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1. According to a website the mean number of apps on a smartphone in the United States is 90. Assume the number of apps is normally distributed with a mean 90 and standard deviation 25. On the axis above, do parts A-F. A. Sketch a normal curve. (3 pt) B. Label the axis with correct letter (z, x or x) to represent a normal distribution. (3pts) C. Label the axis with the mean value (given in the problem). (2pts) D. Label the axis with the other 6 values (the values that represent 1,2, and 3 standard deviations away from the mean). (6pts) E. Mark the value of 85 on the axis and write 85 under the axis. (2pts) F. Shade the area under the curve that corresponds to "less than 85". (2pts) G. Find the probability that a randomly selected smartphone will have less than 85 apps on it. Round to 4 decimal places. Show your work or what you enter into a calculator. (8 pts)
The price-earnings (PE) ratios of a sample of stocks have a mean value of 12.75 and a standard deviation of 2.8. If the PE ratios have a bell shaped distribution, what percentage of PE ratios that fall between: A. 9.95 and 15.55. Percentage = %B. 7.15 and 18.35. Percentage = %C. 4.35 and 21.15. Percentage = %
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in days
3. Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.23 and standard deviation of 0.11. Find the percentage of preterm infants who have the following arterial cord pH levels. a. pH levels between 7.00 and7.50. b. pH levels over 7.31.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.34°F and a standard deviation of 0.56°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.22°F and 99.46°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.78°F and 98.90°F? a. Approximately % of healthy adults in this group have body temperatures within 2 standard deviations of the mean, or between 97.22°F and 99.46°F. (Type an integer or a decimal. Do not round.)
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.39°F and a standard deviation of 0.56°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.27°F and 99.51°F? b. What is the approximate percentage of healthy adults with body temperatures between 96.71°F and 100.07°F? a. Approximately % of healthy adults in this group have body temperatures within 2 standard deviations of the mean, or between 97.27°F and 99.51°F. (Type an integer or a decimal. Do not round.) b. Approximately% of healthy adults in this group have body temperatures between 96.71°F and 100.07°F. (Type an integer or a decimal. Do not round.)
The mean cholesterol level for females in a population is 200 with a standard deviation of 25. Samples of size 64 are drawn from the population. A. What is the mean of the sample means? B. What is the standard error of the sample means?
Consider population data with 5 being the standard deviation, 5 being the mean. Compute an 88.9% chebyshev interval around the population mean
A newspaper article noted that the mean life span for 35 male symphony conductors was 73.2 years with a standard deviation of 8.7 . Males in the general population have a mean life span of 69.5 years. Use a 0.05 significance level to test the claim that male symphony conductors have a mean life span that is greater than 69.5 years. a. Define the parameter A. mu = The mean life span of the 35 male symphony conductors in the sample B. p = The proportion of all male symphony conductors who life more than 69.5 years C. mu = The mean life span of all male symphony conductors D. mu = The mean life span of all males b. State the null and alternative hypotheses A. Upper H 0 : mu equals 73.2 Upper H 1 : mu greater than 73.2 B. Upper H 0 : mu equals 69.5 Upper H 1 : mu greater than 69.5 C. Upper H 0 : mu greater than 69.5 Upper H 1 : mu equals 69.5 D. Upper H 0…

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4. The number of pages in a randomly chosen textbook has (approximately) a bell- or mound-shaped distribution with mean 344.61 and standard deviation 84.23. Use the empirical rule to estimate the a. proportion of textbooks with pages between 260.38 and 428.84.