3. In a study of factors that affect whether students return to college after the firstsemester, one of the factors examined was the number of hours worked per week. Theanalysis revealed that students typically work an average of 18.1 hours per week, with astandard deviation of 15.3 hours. If we consider a group of 700 freshmen at a communitycollege, what is the probability that the average number of hours worked per week ismore than 20 hours?

Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean…

Answered: 3. In a study of factors that affect…

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 a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.78. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. different people feel differently regarding their satisfaction. D. The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully. (c) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is no more than 5% of the population size and np(1 - p) = 17.16 2 10, the distribution of p is approximately normal with Ha = 0.780 and On = 0.041 . (Round to three decimal places as needed.) (d) In the sample obtained in part (a), what is the probability that the…
A random sample of 300 physicians shows that there are 50 of them who make at least $200,000 a year. What is the test statistic if we want to test that the true proportion of physicians in the population who make at least $200,000 a year is less than 0.20?
Suppose that you are studying the number of vehicles owned by a US household. You find that the average is 1.9 vehicles per household with a standard deviation of 2.8 vehicles per household. What is the most likely shape for the population described above? Find the probability that 40 randomly selected households have an AVERAGE number of vehicles greater than 2.5.
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and standard deviation of 1.1 days. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) What is the probability of spending less than 8 days in recovery? %b) What is the probability of spending more than 5 days in recovery? %c) What is the probability of spending between 5 days and 8 days in recovery? %
In the month of July, the average electrical Eversource bill in Amherst Massachusetts is $72 with a standard deviation of $6. Suppose that the electrical bills are normally distributed, what is the probability that the average electrical bill in Amherst for 15 residents is less than $75? Select one: A. 78.45% B. 23.27% C. 97.38% D. 31.21%
A researcher selects a sample of 6 men and 11 women. She asks participants to rate the likelihood they would do female-stereotyped jobs (such as nursing or school teaching) on a scale from 1 = not likely at all to 5 = very likely. Men indicated that they would be less likely to do these jobs (M = 2.1) compared with women (M = 4.3). What is the weighted mean for the combined sample of 17 total participants? O O 2.1 4.3 3.2 3.5
According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $57,045 and the median household income was $42,148.The variability of household income is quite large with an overall standard deviation of approximately $25000. Suppose a random sample of 225 households was selected. What is the probability that the sample mean would be above $60,245?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?
Example 24 : In eight throws of a die 5 or 6 is considered a success. Find the mean number of success and the standard deviation.

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