A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 43years old, with a standard deviation of 9 years. Suppose that these measures are valid for the population of all home buyers. Complete the following statementsabout the distribution of all ages of home buyers.(a) According to Chebyshev's theorem, at least 36% of the home buyers'ages lie between 32 years and 54 years. (Round your answer to thenearest whole number.)(b) According to Chebyshev's theorem, at least 75%home buyers' ages lie between 25 years and 61 years.of theX

The objective of the question is to verify the statements about the distribution of home buyers'…

Answered: A real estate company is interested 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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According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for non‑Hispanic black females was 78.1 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, ?, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x¯, in all possible samples of size ?n is approximately normal if ? is large enough, by the central limit theorem. Let x¯ be the mean life expectancy in a sample of 100 non‑Hispanic black females. Determine the interval centered at the population mean ? such that 95% of sample means x¯ will fall in the interval. Give your answers precise to one decimal What are the upper and lower limits?
Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard deviation is 3.4∘3.4∘, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY between 12.56∘12.56∘ and 23.44∘23.44∘ is at least %.
According to a recent survey, the salaries of entry-level positions at a large company have a mean of $41,750 and a standard deviation of $7000 . Assuming that the salaries of these entry-level positions are normally distributed, find the proportion of employees in entry-level positions at the company who earn at most $45,000 . Round your answer to at least four decimal places.
4. The time required for all cross-country skiers to complete a race has a normal distribution with a mean of 46 minutes and a standard deviation of 6 minutes. You choose a random sample of six skiers, and the mean of the sample is denoted i. What are the mean and standard deviation of ?
Suppose that the lengths of pregnancies are normally distributed with a mean of 270 days and a standard deviation of 14 days. If a child is born in the lower 4.5% of this distribution is considered to be premature, how many days must a pregnancy last for a child to not be considered premature? (Round to the nearest day.)
Suppose that the heights of adult men in the United States are normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. What proportion of the adult men in the United States are at most 6 feet tall? (Hint: 6 feet 72 inches.) Round your answer to at least four decimal places.
For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (c) Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of days between 325 and 425 vehicles used the intersection ?
A major ride-sharing company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $28.43 with a standard deviation of $4.52. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel. (a)According to Chebyshev's theorem, at least 56% of the fares lie between dollars and dollars. (Round your answer to 2 decimal places.) (b)According to Chebyshev's theorem, at least ▼(Choose one) of the fares lie between 19.39 dollars and 37.47 dollars.
1.In a certain wildlife reserve the life span of monkey are normally distributed. The average monkey lives 20.8 years and The standard deviation is 3.1 years. Use the empirical rule to estimate the probability or percentage of a monkey living less than 23.9 years. 2. If the population of the monkey are 568, how many of them will live for less than 23.9 years. 3. IQ scores which are normallu distributed have a mean of 100 and a standard deviation of 16. The z score that corresponds to Albert IQ Is 3.75. What is his IQ?
Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 6, 2.7, 3.3, 5.6, 3.7. Calculate the standard deviation of the sample. Note: the numbers may be different from the last problem. (please express your answer using 2 decimal places)
A software company is interested in improving customer satisfaction rate from the 60% currently claimed. The company sponsored a survey of 148 customers and found that 95 customers were satisfied. What is the test statistic z?

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