USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The averageexpenditure in a sample survey of 46 male consumers was $139.34, and the average expenditure in a sample survey of 30 female consumers was $62.51. Based on past surveys, thestandard deviation for male consumers is assumed to be $30, and the standard deviation for female consumers is assumed to be $18. The z value is 2.576.Round your answers to 2 decimal places.a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females?b. At 99% confidence, what is the margin of error?c. Develop a 99% confidence interval for the difference between the two population means.Hide FeedbackIncorrecttoIcon KeyHint(s) Check My Work

The sample size for male consumers is 46 with sample mean 139.34 and for female is 30 with sample…

Answered: USA Today reports that the average…

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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Similar questions

In a population of ages where the mean age is 45 and the standard deviation is 5.25, what are the ages of the youngest 7% and the oldest 12%?
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?
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 1212 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $42,000$⁢42,000 with a standard deviation of $9800$⁢9800. Fifteen people with doctoral degrees in education were found to have a mean annual salary of $50,000$⁢50,000 with a standard deviation of $9200$⁢9200. Assume that the population variances are not the same. Construct a 90%90% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.
Based on research conducted by the government on people aged 25 to 34 years, on average, people in that age group spend $1,994 of their annual income on entertainment. Assume that the data are normally distributed with a standard deviation of $450. What percentage of the population in this age group spends less than $1,000 per year for entertainment?
Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (in mmHg) are listed below. Find the range, variance, and standard deviation for the given sample data. If the subject's blood pressure remains constant and the medical students correctly apply the same measurement technique, what should be the value of the standard deviation?
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 42 male consumers was $135.67, and the average expenditure in a sample survey of 37 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $34, and the standard deviation for female consumers is assumed to be $17. A) What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)? B) At 99% confidence, what is the margin of error (to 2 decimals)? C) Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.( , )
The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 46 male consumers was $136.75, and the average expenditure in a sample survey of 30 female consumers was $64.68. Based on past surveys, the standard deviation for male consumers is assumed to be $31, and the standard deviation for female consumers is assumed to be $10. The z value is 2.576, Round your answers to 2 decimal places. a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females? 71.76 b. At 99% confidence, what is the margin of error? 16.70 c. Develop a 99% confidence interval for the difference between the two population means. 59.60 to 83.92
Is Washington, D.C. different from the rest of the United States? When a simple random sample of 400 families is taken in Washington, the mean income is $46,211 with a standard deviation of $12, 214. Another sample of 900 families throughout the United States finds the mean income to be $44,344 with a standard deviation of $10,103. Is the mean income in Washington, D.C. higher than the mean income in the rest of the country? Use a 5% significance level.
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
According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1152 a week in 2010. A recent sample of 676 American workers who have a bachelor's degree showed that they earn an average of $1171 per week. Assume that the population standard deviation is $165. Test the claim that the current mean weekly earnings of American workers with a bachelor's degree is greater than $1152. Show all the steps of a hypothesis test.
Based on research conducted by the government on people aged 25 to 34 years, on average, people in that age group spend $1,994 of their annual income on entertainment. Assume that the data are normally distributed with a standard deviation of $450. What percentage of the population in that age group spends between $2,500 and $3,000 per year for entertainment?
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?

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