2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, thatmany human characteristics such as height and IQ are distributed throughout the entire populationin accordance with the normal distribution. Galton recorded the heights of 8585 men in GreatBritain. This forms a normal distribution with mean µ = 67 inches and standard deviation o =2.5inches.(a) Graph this normal distribution and label the axis.(b) What proportion of these men were between 66 and 68 inches tall?(c) What fraction of the adult male population in Great Britain was within one standarddeviation of the mean height?

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Answered: 2. In the mid-19th century, Sir Francis…

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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Question 1 Q.1 The annual incomes of fifteen families are given is Rs. as: 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060 1200, 1450, 2500, 7200. Calculate the (i) Quartile deviation (ii) Mean deviation from mean (iii) Mean deviation from median, and (iv) Mean deviation from mode.
The per capita energy consumption level (in kilowatt- hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What consumption level represents the 4th percentile? (b) What consumption level represents the 23rd percentile? (c) What consumption level represents the third quartile? The ... 317 μ=2317 kWh o=582.4 kWh G 2317 Kilowatt-hours X 4317 (a) The consumption level that represents the 4th percentile is kilowatt-hours. (Round to the nearest integer as needed.) O
question 18
Question 5 The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 22 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 19.4 feet tall? e. What is the probability that a randomly selected giraffe will be between 18 and 18.8 feet tall? ft. f. The 85th percentile for the height of giraffes is Hint: Helpful videos: • Find a Probability [+] Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question
QUESTION 2 The monthly expenditures on grocery shopping for all households in a town has a mean of $400 and a standard deviation of 75. The distribution of these monthly expenditures is symmetric and bell-shaped. What percentage of households had a monthly expenditure of between $250 and $400 on groceries in this town? O 68% O 34% O 959% O 47.5%
ats 2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. (a) Graph this normal distribution and label the x-axis. (b) What proportion of these men were between 66 and 68 inches tall? belool vin (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal distribution function in Excel, not the Empirical Rule] (d) What height corresponds to the 95th percentile in the Galton study?
QUESTION 13 The monthly expenditures on grocery shopping for all households in a town has a mean of $400 and a standard deviation of 75. The distribution of these monthly expenditures is symmetric and bell-shaped. At what percentile would the person who spends $475 per month on groceries be at in the distribution? O 5oth percentile O 75th percentile O 84th percentile O 34th percentile
Question # 4 Briefly explain the following terms in your own words. a- Slope b- R2 (Coefficient of determination) c- Standard deviation d- Median e- Quartiles W
QUESTION 20 The time spent on social media platforms per day by adults has a distribution with a mean of 125 minutes and a standard deviation of 16 minutes. A random sample of size 16 adults is selected from the population. Find the mean and standard error of the sample mean time spent on social media platforms per day.
Question 25: The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. An article in the The Wall Street Journal claims that the average birth weight is decreasing over time. A local hospital wanted to see if the claim was true and randomly sampled 23 baby's weights and found an average weight of 7.1 pounds. Test the claim using a 1% level of significance that the mean weight significantly smaller than the national average of 7.5 pounds. Use the population standard deviation of 1.25 pounds. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols.) H0: pounds H1: pounds Based on the hypotheses, find the following: Test Statistic = p-value = The correct decision is to The correct summary would be: that the mean weight significantly smaller than the national average of 7.5 pounds. What is the…
A random sample of people were selected in order to compare the hight between vegetarians and non-vegetarians. The relative-frequency histograms below show the height distribution of the fifteen vegetarian persons in the group and and the remaining people who are not vegetarian. What can be correctly concluded from these graphs? Vegetarian Not a Vegetarian 0.4 0.4 0.3 0.3 02 0.2 0.1 0.1 0.0 0.0 140 150 160 170 180 190 200 140 150 160 170 180 190 200 Height (cm) Height (cm) Select one or more: O a. being vegetarian causes people to be shorter on average O b. more than 30% of vegetarians in this study are between 160cm and 165cm tall Oc. the range of vegetarians heights is larger than the range of non-vegetarians heights O d. more than 45% of non-vegetarians in this study are more than 170cm tall Relative Frequency of Height (cm) Relative Frequency of Height (cm)
QUESTION 20 Larger values of the standard deviation result in a normal curve that is a. skewed to the left. b. narrower and more peaked. c. wider and flatter. d. skewed to the right.

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