MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
According to Chebyshev's theorem, at which percent does 36, 56%, 75%, 84%, 89% of the scores lie between 30.1 and 70.1.
According to Chebyshev's theorem, at least /89 (about 89%) of the scores lie between _ and _. (Round your answer to 1 decimal place.)
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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?arrow_forwardSuppose 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?arrow_forwardThe distribution of heights of adult American men is approximately normal with a mean of 69 inches and a standard deviation of 2.5 inches. a. What percent of these men are at least 71.5 inches tall? b. What percent of these men are between 64 and 74 inches tall?arrow_forward
- Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallestarrow_forwardFor 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?arrow_forwardIn 1974, the mean height of a woman in the United States was 63.7 inches, with a standard deviation of 2.5 inches. What is the height of a woman who is taller than 88% of the rest of the sample? Enter your answer in inches rounded to one decimal place, e.g. 60.4.arrow_forward
- Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. What proportion of the adult men in the United States are at most 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.arrow_forwardA particular fruit’s weights are normally distributed, with a mean of 395 grams and a standard deviation of 29 grams. The heaviest 18% of fruits weigh more than how many grams? Give your answer to the nearest gram.arrow_forwardA 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?arrow_forward
- The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?arrow_forwardA normally distributed data set has a mean of O and a standard deviation of 2. What is the percent of values between -6.0 and 6.0? (make sure to include % sign in answer.)arrow_forwardResearchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 73.7 Mbps. The complete list of 50 data speeds has a mean of x = 16.05 Mbps and a standard deviation of s = 17.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? ..... a. The difference is Mbps. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is Next MacBook F12 DD F11 DII F10 F9 F8 888 00 F7 F6 F5 F4 F3 F2 F1 & ! @ # $ 7 8 4 5 6…arrow_forward
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