Woodland and Clear Beach are schools in different states. Alan is a student at Woodland and is 56 inches tall. Goran is a student at Clear Beach and is 45 inches tall.The heights of students at Woodland have a population mean of 65.2 inches and a standard deviation of 4.1 inches. The heights of students at Clear Beach have a population mean of 59.5 inches with a standard deviation of 4.9 inches. For each school, the distribution of the heights of students is clearly bell-shaped.(a) Find the z-scores of Alan's height as a student at Woodland and Goran's height as a student at Clear Beach. Round your answers to two decimal places.- z-score of Alan's height: [ ]- z-score of Goran's height: [ ](b) Relative to his population, which student is shorter?Choose the best answer based on the z-scores of the two heights.- ○ Alan- ○ Goran- ○ It is unclear which student is shorter relative to his population

Answered: Woodland and Clear Beach are schools 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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When sandy made landfall in October of 2012, it became the second most costly hurricane in the US. As of march 2014, the estimated cost was over $68 billion. much of the damage was caused by flooding. the rainfall in areas affected by sandy follow a normal distribution. the average rainfall during the storm was 7.3 inches with a standard deviation of 2.44 inches (www.accuweather.com). Areas in Maryland and New jersey saw more than the other affected regions. a) what is the probability that a randomly selected region has less than 5 inches of rain? b) what is the probability that a randomly selected region had between 10 and 12 inches of rain? c) what is the probability that a randomly selected region had more than 20 inches of rain?
Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that men have heights between 62 and 77 inches. Find the percent of men meeting these height requirements.
The Acme Company manufactures widgets. The distribution of widget eights is bell-shaped. The widget weighs have a mean of 63 ounces and a standard deviation of 3 ounces. B) what percentage of the widget weighs lie between 60 and 69 ounces? C) what percentage of the widget weights lie below 72?
One of the most feared predators in the ocean is the great white shark. It is known that the white shark grows to a mean length of 18 feet; however, one marine biologist believes that great white sharks off the Bermuda coast grow much longer. To test this claim, full-grown white sharks were captured, measured, and then set free. However, this was a difficult, costly and very dangerous task, so only four sharks were actually sampled. Their lengths were 23, 21, 22,and 22 feet. Do the data provide sufficient evidence to support the claim? Use α=0.01. (a) Calculate the test statistic: t =
Solve by hand. Do not use any external softwares or programs including Excel.
The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?
Imagine that every elementary school in California is measured on several characteristics and then given an overall Quality Score. In Los Angeles Unified School District, the schools have an average (mean) quality score of 101.8 with a standard deviation of 7.2. One school in Los Angeles, Carver Elementary, gets a quality score of 104.5. In San Francisco Unified School District, the schools have an average (mean) quality score of 102.3 with a standard deviation of 9.4. One school in San Francisco, Bryant Elementary, gets a quality score of 99.5. Find the Z-scores for both of these two schools (Carver Elementary in Los Angeles, and Bryant Elementary in San Francisco)
Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height of 72.0 inches and a standard deviation of 1.2. The Aviston Aces have a mean height of 70.8 inches and a standard deviation of 0.7. The Ballwin Bears have a mean height of 73 inches and a standard deviation of 1.0. On average, which team is a taller? Which team has players whose heights are more consistent?
A college administrator wants to see if students in different majors tend to have differing amounts of study time. The administrator collects the following data from 15 students in Sociology, 10 students in Engineering, and 12 students in History. The Sociology majors report an average of 10 hours studies per week and a standard deviation of 3 hours. The Engineering students report an average of 15 hours per week with a standard deviation of 7 hours. The History majors report an average of 12 hours studied and a standard deviation of 4 hours. The data can be summarized as follows: Major n Mean Study Hours Standard deviation Sociology 15 10 hours 3 hours Engineering 10 15 hours 7 hours History 12 12 hours 4 hours Does this data provide evidence for the notion that students in different majors study different amounts? Use α = .05
Adult Great Basin rattlesnakes have a mean length of 32.5 inches and a standard deviation of 6.6 inches; the length of adult Southern Pacific rattlesnakes is also 32.5 inches on average, but with a standard deviation of 9.9 inches. Both species have lengths that follow a normal distribution. You randomly select one Great Basin rattlesnake and one Southern Pacific rattlesnake. Which is more likely be longer than 35.8 inches? a. The Southern Pacific rattlesnake. b. Not enough information is provided, it depends. O c. Both are equally likely to be more than 35.8 inches long d. The Great Basin rattlesnake.
Two friends, Karen and Jodi, work different shifts for the same ambulance service. They wonder if the different shifts average different numbers of calls. Looking at past records, Karen determines from a random sample of 39 shifts that she had a mean of 4.7 calls per shift. She knows that the population standard deviation for her shift is 1.5 calls. Jodi calculates from a random sample of 31 shifts that her mean was 5.4 calls per shift. She knows that the population standard deviation for her shift is 1.2 calls. Test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.02 level of significance. Let Karen's shifts be Population 1 and let Jodi's shifts be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5.19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively. see attachment

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