Height and weight are two measurements used to track a child's development. An organization measures child development bycomparing the weights of children who are the same height and the same gender. In a certain year, weights for all 80 cm girls inthe reference population had a mean u = 9.6 kg and standard deviation o = 0.4 kg. Weights are normally distributed.X ~ N(9.6, 0.4). Calculate the z-scores that correspond to the following weights and interpret them. (Round your numericalanswers to two decimal places.)(a)10 kgz =A child who weighs 10 kg isstandard deviation(s) ---Select--- O the mean of 9.6 kg.(b)8.5 kgz =A child who weighs 8.5 kg isstandard deviation(s) ---Select--- O the mean of 9.6 kg.(c)10.6 kgz =A child who weighs 10.6 kg isstandard deviation(s) --Select--- the mean of 9.6 kg.

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Answered: Height and weight are two measurements…

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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Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The revenue of a shop is approximately normally distributed with a mean of $4500 and a standard deviation of $800.Find the revenue, y, for which 33% of revenue are below it.
A particular fruit's weights are normally distributed, with a mean of 454 grams and a standard deviation of 36 grams.The heaviest 18% of fruits weigh more than how many grams?Give your answer to the nearest gram.
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
A population of adults males heights distributed as approximately normal with mean 69 inches and a standard deviation of 3.5 inches. Ralph is 5 feet and 7 inches tall (67 inches). What proportion of the population is taller than he?
Reports on a student's test score such as the SAT or a child's height or weight usually give the percentile as well as the actual value of the variable. The percentile is just the cumulative proportion stated as a percent: the percent of all values of the variable that were lower than this one. The upper arm lengths of females in the United States are approximately Normal with mean 35.735.7 cm and standard deviation 2.12.1 cm, and those for males are approximately Normal with mean 39.139.1 and standard deviation 2.32.3 cm. Larry, a 6060‑year‑old male in the United States, has a upper arm length of 37.837.8 cm. What is his percentile? (Enter your answer rounded to two decimal places.)
The weights of six-week-old poults (juvenile turkeys) are normally distributed with mean u = 9.1 pounds and standard deviation o = 2.4 pounds. Find the 20n percentile of the weights. Use Table A.2 as needed. Round your final answer to the nearest tenth. Do not round intermediate computations.
Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 8.28 mm and a standard deviation of 0.78 mm. Let x denote thumb length for a female specimen. a. Find the standardized version of x. b. Determine and interpret the z-scores for thumb lengths of 10.3 mm and 7.1 mm. Round your answers to two decimal places. a. Find the standardized version of x. z=enter your response here
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for two types of treated fabrics: Permafresh Hylite 15 17 12 14 13 16 16 15 14 18 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle. Give a 98% confidence interval for the difference in mean wrinkle recovery angle: [three decimal accuracy] [three decimal accuracy]
a quantitative data set has mean 25 and standard deviation 5. what percentage of the observations lie between 15 and 35
A particular fruit's weights are normally distributed, with a mean of 465 grams and a standard deviation of 15 grams. The heaviest 17% of fruits weigh more than how many grams? Give your answer to the nearest gram.
For a data set of the pulse rates for a sample of adultfemales, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=23.1 beats per minute. a. What is the difference between the pulse rate of 33 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 33 beats per minute 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 33 beats per minute significant?

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