Mrs. Bracken asks a random sample of 500 adults whether they favor giving vouchers to parents of school agechildren that can be exchanged for education at any public or private school of their choice Each school wouldbe paid by the government on the basis of how many vouchers it collected. Suppose that 45of the populationfavor this idea,(a) What is the mean and standard deviation of the sampling distribution of p, the proportion of adults in samplesof size n= 500 who favor giving parents of school-age children these vouchers?(b) Calculate the probability that more than half of the sample are in favor. Show your work.

Answered: Image /qna-images/answer/54997b26-7661-4b49-b3d9-b0bff0a0fde2.jpg

Answered: Mrs. Bracken asks a random sample of…

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

52) The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 209.30 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 198.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Suppose the true proportion of voters in the county who support a specific candidate is 0.48. Consider the sampling distribution for the proportion of supporters with sample size n = 177. What is the mean of this distribution? What is the standard error (i.e. the standard deviation) of this sampling distribution, rounded to three decimal places?
The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1250 who were over the age of 25, and 973 of them were high school graduates. (a) Find the mean and standard deviation for the total number of high school graduates in random groups of 1250 Americans who are over the age of 25. b. Is that county result of 973 unusually high, or low, or neither?
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 5.Find the mean of the sampling distribution for the average score (sample mean) of 256 golfers: (Round answer to the nearest integer.)Find the standard deviation of the sampling distribution for the average score (sample mean)of 256 golfers: (Round answer to four places after the decimal.)Is the sampling distribution of the average score (sample mean) approximately normal? Yes, because the sample size is large enough.No, because the sample size is not large enough. What is the probability that the average (sample mean) of the 256 golfers exceeded 67? (Round answer to four places after the decimal.)
An SRS of 1500 first-year college students were asked whether they applied for admission to any other college. In fact, 35% of all first-year students applied to colleges beside the one they are attending. Population Parameter Value of the parameter a) State the conditions of why the sample proportion follows a normal distribution. b) What is the mean and standard deviation of the sample proportion ? c) What is the probability that the sample proportion of college students who applied to colleges besides the one they attended is more than 37.5%? d) What is the probability that the poll will be within 2% of the true proportion?
4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
Q)In a certain large university, students spend on average $75 a month on pizza, with a standard deviation of $24.30.A marketing specialist plans to survey 225 students, and ask them to record how much they spent on pizza during April.(a) What would be the standard deviation of the sample mean?(b) What is the probability that the researcher will get a sample mean less than $72.5?
The U.S. Department of Transportation reported recently that all commuters in the New York City area average 120 minutes on the road travelling to and from work each workday. Assume that the standard deviation for the amount of time all commuters in the New York City area travel to and from work each workday equals 30 minutes. a) If a random sample of 36 commuters in the New York City area is selected, calculate the associated standard error of the mean.. b) What is the probability that mean travel time for the commuters in the sample is between 113.5 and 122.5 minutes?

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