A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 50years old, with a standard deviation of 10 years. Suppose that these measures are valid for the population of all home buyers. Complete the followingstatements about the distribution of all ages of home buyers.(a) According to Chebyshev's theorem, at least (Choose one) ▼ of thehome buyers' ages lie between 30 years and 70 years.(b) According to Chebyshev's theorem, at least 84% of the home buyers'ages lie between years and years. (Round your answer to thenearest whole number.)X

Mean age =50 Standard deviation =10 We have to find a...at least how many of the home buyers' ages…

Answered: A real estate company is interested in…

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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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 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 34 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 34 beats per minute significant?
Suppose a population is known to be normally distribted with a mean, μ, equal to 116 and a standard deviation, σ,equal to 14. Approximately what percent of the population would be between 88 and 130?
Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.22 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are at most 0.18 inches? Round your answer to at least four decimal places.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 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 −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)
Suppose the weights of 3-month-old babies are normally distributed—baby boys with a mean of 14.3 pounds and a standard deviation of 1.7, and baby girls with a mean of 12.7 pounds and a standard deviation of 1.7. What proportion of 3-month-old baby girls will weigh between 12 and 13 pounds? (Round your answer to four decimal places.)
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Use the following information to answer the next four questions. A manager of a fast-food chain wants to analyze the length of time a vehicle spends at the drive-through window waiting for an order. According to records obtained from the chain, the population mean time spent waiting at the window was 236.5 seconds with a population standard deviation of 34.8 seconds. It is known that the distribution of time waiting at the window is extremely right-skewed. The waiting time was recorded for a random sample of 21 vehicles. For the random sample obtained, the sample mean waiting time was found to be 254.6 seconds with a sample standard deviation of 23.1 seconds. In this example, for the numerical values 236.5 and 254.6 O a. 236.5 is a parameter, 254.6 is a statistic O b. Both are parameters O C. Both are statistics O d. 236.5 is a statistic, 254.6 is a parameter
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 49.1, with a standard deviation of 9.2. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. A) according to Chebysheva theorem, at least 36% of the scores lie between ? And ?. Rouen answer to 1 decimal. B) according to Chebyshev’s theorem, at least what perfect of the scores lie between 30.7 and 67.5 ?
Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student hasa test result with a z-score of -0.8 and a second student has a test result with a Z-score of 1.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26
A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. Calculate: a.the percentage of students scored between 75 and 90 ( using Rstudio) b.the test score higher than what grade if only 5% of the students taking the test (manually and using R studio)

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