You may need to use the appropriate appendix table or technology to answer this question.A newspaper 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 40 male consumers was $137.67, and the average expenditure in a sample survey of 30 female consumerswas $63.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be $20.(a) What is the point estimate (in dollars) of the difference between the population mean expenditure for males and the population mean expenditure for females? (Use male - female.)$(b) At 99% confidence, what is the margin of error (in dollars)? (Round your answer to the nearest cent.)$(c) Develop a 99% confidence interval (in dollars) for the difference between the two population means. (Use male female. Round your answer to the nearest cent.)$to $

From the information, given that The formula for two sample Z-test confidence interval is,

Answered: You may need to use the appropriate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Which of the following is an example of doing inferential statistics? You calculate the average grade on an exam in a class of 5th grade math students to see if they did better or worse than last year. You lookup the median and the standard deviation of the age for the U.S. population from U.S. Census data. You use a sample of homes in Rancho Cucamonga to draw a conclusion about the mean home price for all Rancho Cucamonga homes. You compare the distributions of scores for two Social Science 10 classes to see which class did better on the exam.
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.515), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
Consider two completely different data sets: price per gallon of gas in Fort Pierce and SAT scores of students at a certain high school. The price per gallon of gas data set has a mean of $2.95 and a standard deviation of S1.15. The high school SAT scores data set has a mean of 1078 and a standard deviation of 198. Calculate the Coefficient of Variation for both data sets. Round solutions to one decimal place, if necessary. Coefficient of Variation for the price per gallon of gas data set: Coefficient of Variation for high school SAT scores data set: Which data set has greater variability? Price per gallon of gas Thus, we see that when comparing two data sets, the data set with the larger standard deviation does not v necessarily have greater variabilty. Check All Parts
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)
Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 49.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. |(c) Compute an approximation for P(p 20.495), which is the probability that there will be 49.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
There are two national college-entrance examinations, the scholastic aptitude test (SAT) and the American College Testing program (ACT). Scores on the SATs are approximately normal with mean 500 and standard deviation 100. Scores on the ACTs are approximately normal with mean 18 and standard deviation 6. Use the links provided for the Normal (Links to an external site.)calculator and the Inverse Normal (Links to an external site.) calculator to help complete the problems, you do not need to do any work out by hand. (instructions on how to use these calculators can be found in the week 5 star on the home page) a) What percent of all SAT scores are above 600? b) Which is the greater accomplishment, scoring 630 on the SAT or 22 on the ACT ? Explain your reasoning for your choice. c) How high a score in the SAT is needed to place in the top 2.5%.
2. (MMC 6.43). The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Each score ranges from 0 to 200. The mean attitude score for U.S. college students is about 110, and the standard deviation is about 25. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age. Their mean score is = 118.3. a. Assuming that o = 25 for the population of older students, carry out a test of Họ: H = Ha:u > 110 Report the P-value of your test and state your conclusion clearly. = 110 b. What are the required assumptions in part (a)?
5. The average weight of a newborn baby is 7.5 lbs with a standard deviation of 1.25 lbs. The average weight of a newborn elephant is 244 lbs with a standard deviation of 15 lbs. Find the Coefficient of Variation for the baby and the elephant. What does the information tell you?
Twelve percent of the world's population is left-handed. A researcher claims that left-handed individuals are more creative than those who aren't left-handed. In order to support his claim, he takes a sample of 1650 artists and finds that 14% of.them are left-handed. Español Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of left-handed individuals in a random sample of 1650. 00 (b) Find the standard deviation of p. (c) Compute an approximation for P (p s0.14), which is the probability that there will be 14% or fewer left-handed people in a random sample of 1650. Round your answer to four decimal places. Save For Later Submit Assignment Check Terms of Use Privacy Center Accessibility acer esc backspa
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.515, which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS