Students at a major university are complaining of a serious housing crunch. They complain that many students have to commute too far to school because thereis not enough housing near campus. University officials respond with the following information: the mean distance commuted to school by students is 14.2miles, and the standard deviation of the distance commuted is 3.7 miles.Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at thisuniversity.(a) According to Chebyshev's theorem, at least (Choose one) ▼ of thecommute distances lie between 8.65 miles and 19.75 miles.(b) According to Chebyshev's theorem, at least (Choose one) ▼ of thecommute distances lie between 6.8 miles and 21.6 miles.X5

Mean(μ)=14.2 standard deviation(σ)=3.7 From Chebyshev's theorem: At least 75% of the observations…

Answered: Students at a major university are…

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 the quarterly sales levels among healthcare information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.1 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
2. All students in a physical education class completed a basketball free-throw shooting event and the highest number of shots made was 32. The next day a student who had just transferred into the school completed the event, making 35 shots. Indicate whether adding the new student's score to the rest of the data made each of these summary statistics increase, decrease, or stay about the same: а. mean b. median с. range d. IQR e. standard deviation
It is generally believed that the heights of adults males in the U.S. are approximately normally distributed with mean 70 inches (5 feet, 10 inches) and standard deviation 3 inches and that the heights of adult females in the U.S. are also approximately normally distributed with mean 64 inches (5 feet, 4 inches) and standard deviation 2.5 inches. A small university is considering custom-ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. Draw a sketch of the distribution of women's heights and label at least three points on the horizontal axis.
Hellen has just started a new years competition for her local climbing gym. There are two categories for this competition: singles and group (18 people). The rules are simple, put in the most hours in one months time and you get a guided tour to climb Ten Sleep canyon. She knows from running this competition over the years that the number of hours climbers at her gym spend training during this competiton is approximately normal and their mean competition hours per month in the gym are 24 hrs with a standard devaition of 6 hrs. Singles Distribution: X~N( , ) Group Distribution: x̄~N( , ) The winning single participant last year was in the 97 th percentile.... how many hours did the winner accumulate over the month? One of Hellan's friends Dave put in 27.12 hours on the wall. What is the probablity that another individual will beat his time? If someone puts in between 25.5-32.1 hours on the wall they get a Mountain Goat shirt. What percent of the singles competitors is expected to…
Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Three years ago, the mean price of a single-family home was $243,712. A real estate broker believes that the mean price has increased since then. Which of the following is the correct conclusion? A. There is not sufficient evidence to conclude that the mean price of a single-family home has not changed. B. There is not sufficient evidence to conclude that the mean price of a single-family home has increased. C. There is sufficient evidence to conclude that the mean price of a single-family home has not changed. D. There is sufficient evidence to conclude that the mean price of a single-family home has increased.
The tallest living man at one time had a height of 220 cm. The shortest living man at that time had a height of 136.8 cm. Heights of men at that time had a mean of 173.88 cm and a standard deviation of 5.13 cm. Which of these men had the height that was more extreme?
The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites. a) The null and alternative hypothesis would be: O Ho: Pw = PN H1: Pw > PN Mil :ºH H1: Hw + HN %3D O Ho: Pw H1: Pw µN Ho: µw H1: µw 0.05 d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis
The mean annual wage per employee for each state and the District of Columbia for the year 2009 is $42,961 and the standard deviation is $7,884.75. The mean and standard deviation for Kentucky is $37,996 and $6,280.67. Using the data for all states including D.C., would a wage of $85,000 be unusual? Source: U.S. Bureau of Labor Statistics
Suppose that the annual household income in a small Midwestern community is normally distributed with a mean of $55,000 and a standard deviation of $4,500. What minimum income does a household need to earn to be in the top 5% of incomes? What maximum income does a household need to earn to be in the bottom 40% of incomes?
The tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 92.3 cm. Heights of men at that time had a mean of 174.73 cm and a standard deviation of 6.23 cm. Which of these two men had the height that was more extreme?
Abbi is a final year student in Bath Spa University doing her dissertation. After discussing with her supervisor, her research objective is to estimate the relationship between returns of stocks and level of risk of stocks (i.e. standard deviation of stock returns). Abbi is using primary data and secondary data for her research. c)What is the best type of chart to represent the variable Tesco Stock Price? d)In her dissertation, Abbi states that primary data is qualitative data. Is it correct? If not, how would you explain to Abbi?
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?

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