Question 11>Watch this Khan Academy Empirical Rule video:https://www.youtube.com/watch?v=OhRr26AfFBUUse the Empirical Rule. (Do not use technology. Technology will give a slightly different answer.)Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above andbelow the mean with computed values.Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, StandardDeviation = 1.1 kg.(a) 68% of the data is between which 2 values?(b) 95% of the data is between which 2 values?kg --kgEnter an integer or decimal number [more..](c) What percentage of the data is less than 8.4 kg?Submit Question(w) What percentage of the data is more than 12.8 kg?kg --(d) What percentage of the data is between 7.3 kg and 11.7 kg?196?kg

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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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Suppose that head circumferences of adult men have a bell-shaped distribution with mean = 54 cm and standard deviation = 3 cm. (Use the Empirical Rule.) (a) What is the head circumference (in cm) such that only 2.5% of adult men have a smaller head circumference? cm (b) What is the head circumference (in cm) such that only 2.5% of adult men have a larger head circumference? cm (c) What is the head circumference (in cm) such that only 16% of adult men have a larger head circumference? cm
A study of the wages of 100 persons grouped in class-intervals of Rs. 10-12, 12-14..etc. revealed the mean wage to Rs. 32.02 and its standard deviation as Rs. 13.18. Later it was discovered that the wage of a labourer who was getting Rs. 57 was misread as 27. Calculate the correct mean and standard deviation.
a sample of n=300 male college freshmen has a mean weight of 160 with a standard devation of 11. how many of the 300 observed weights fall within (A)2 standard deviations of the mean? (B) 3 standard deviations of the mean? (C) 5/2 deviations of the mean? Show the interval in each case.
Manatees are one creature found in coastal waterways. 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1050 lbs. This year, a random sample of 12 manatees were selected, the sample weights are: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assume the underlying distribution of manatee weights is normal, and population standard deviation o is unknown. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight decreases now. Solve the hypothesis using P-value method. Let a = 0.05. . Use the given sample data to calculate 90% confidence interval for true mean weight of manatees.
Suppose the total weight of passengers and luggage on an airline flight is normally distributed with mean 8914 and standard deviation 32 What is the 2.28th percentile of total passenger weight
the height of American men is normally distributed with a mean of 70 in and a standard deviation of 3 in. what are the heights in inches that define the most extreme 8% of the population of American men?
The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a standard deviation of 16 days. What proportion of all pregnancies will last between 240 and 270 days. (b) 0.5471 (d) 0.6875 (a) 0.8674 (c) 0.9876 Answer:
Suppose that the average height of men in the United States is approximately normally distributed with a mean of approximately 70 inches and a standard deviation of approximately 4 inches. (a) What fraction of men’s heights are less than 68 inches? (b) What fraction of men’s heights are greater than 73 inches? (c) What fraction of men’s heights are between 68 and 73 inches?
The distribution of IQ scores for high school graduates is normally distributed with mean 300 and standard deviation 70. (i) What is the 90th percentile of this distribution of the IQ scores?
Weights of female cats of a certain breed are normally distributed with mean 4.1 kg and standard deviation 0.6 kg. (i). What proportion of female cats have weights between 3.7 and 4.4 kg? . (ii). A certain female cat has a weight that is 0.5 standard deviations above the mean. What proportion of female cats are heavier than this one?. (iii). How heavy is a female cat whose weight is on the 80th percentile?. (iv). A female cat is chosen at random. What is the probability that she weighs more than 4.5 kg? . (v). Five female cats are chosen at random. What is the probability that exactly one of them weighs more than 4.5 kg? .
Assuming that the height of a college women are nobody distributed with mean 65 in and standard deviation 3 in what percent of women are taller than 62 in?

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