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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Suppose the price for pomegranates in NYC have a mean of $1.25 with a standard deviation of $0.15. Suppose you sample 1 pomegranate for different stores in NYC for a total of 50 pomegranates. What is the resulting sampling distribution (mean, standard deviation) for this sample? Assume a random sample. a. None of these b. ($0.18, $0.02) c. ($1.25, $0.02) d. Whatever the mean and standard deviation of the sample is. e. ($1.25, $0.15)
The mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings of all male workers in the same state is $760. The standard deviations of the weekly earnings are $86 for the females and $106 for the males. Suppose we take one sample of 316 female workers and another sample of 329 male workers from this state. 1.1. By hand, what is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males? 1.2. By hand, what is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?
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 %.
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 lengths of human pregnancies are normally distributed with a mean of 267 days and a standard deviation of 16 days. Complete the following statements. (a) Approximately ? of pregnancies have lengths between 219 days and 315 days. (b) Approximately 95% of pregnancies have lengths between I days and days.
A large corporation employs 19185 individuals. The average income of all employees is $70616, with a standard deviation of $19414 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 120 randomly selected employees.
Suppose the value of a stock varies each day from $10.82 to $23.17 with a uniform distribution. Find the third quartile, i.e. , 75% of all days the stock is below what value ?
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 ?
The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 258 people. a) Complete the table. Age Number of people 18 54 19 69 20 70 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
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)
1. Among American women aged 20 to 29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 and 67.6 inches tall, and 10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and standard deviation of the distribution.
2. Ms. Palac, a sociologist, made a study on the age in years of a woman at the time of her first marriage. She randomly selected a sample of 24 and 21 married women from Village A and Village B, respectively. The following data are the mean and standard deviation for each group: Village A: x = 18.63 and s = 5.54 Village B: x = 24.90 and s = 5.54 Test the hypothesis that the women in Village A get married younger than women in Village B. Use 0.10 significance level. Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region Degrees of Freedom (df): Critical Region: Step 4: Compute the z or t value Computations: Step 5: Decide whether to accept or reject Ho Step 6: Conclusion

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