The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mearu = 538.6 and standard deviation o = 27.2.Round your z-scores to 2 decimal places. Give your answers to at least 4 decimal places.(a) What is the probability that a single student randomly chosen from all those taking the test scores 542 or higher?ANSWER:For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test.(b) What are the mean and standard deviation of the sample mean score , of 30 students?The mean of the sampling distribution for is:The standard deviation of the sampling distribution for I is:(c) What z-score corresponds to the mean score of 542?ANSWER:(d) What is the probability that the mean score a of these students is 542 or higher?ANSWER:

Let , X→N(μ=538.6 , σ=27.2) , n=30 Our aim is to find the following : a) b) c) Z-score…

Answered: (a) What is the probability that a…

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

Suppose that in a large population of students, the mean amount of sleep the previous night was ? = 7.2 hours and the standard deviation was ? = 1.55 hours. Consider randomly selected samples of n = 130 students. (a) What is the value of the mean of the sampling distribution of possible sample means?Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.) s.d.(x) = (c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 68% of all randomly selected samples of n = 130 students, the mean amount of sleep the previous night will be between and hours. (d) Use the Empirical Rule to fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 95% of all randomly selected samples of n = 130 students, the mean amount of sleep will be between and hours.
Which of the following is TRUE about the mean of the sampling distribution of the sample means? It is less than the population mean. It is not related to the population mean. It is equal to the population mean. It is greater than the population mean.
The distribution of the number of motor vehicles per household in the United States (the population) and sampling distributions of the mean for samples of size 4 and 10 are shown in below. A.Which distribution is which? Make a rough estimate of the mean and standard deviation of each distribution. Explain the reasons of your choices.b. The mean of the population is about 1.7. Theoretically, what is the mean of the sampling distribution for samples of size 4? Of size 10? Are these computed means consistent with your estimates of the means in the histograms? Briefly explain.c. The standard deviation of the population is about 1. Theoretically, what is the Standard Error (SE) of the sampling distribution for samples of size 4? Of size 10? Are these computed SEs consistent with your estimates of the SEs in the histograms? Briefly explain.d. Compare the shapes of the three distributions. Are the shapes consistent with the Central Limit Theorem? Briefly explain.
Suppose that in a large population of students, the mean amount of sleep the previous night was ? = 7.1 hours and the standard deviation was ? = 1.8 hours. Consider randomly selected samples of n = 120 students. (a) What is the value of the mean of the sampling distribution of possible sample means?Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.) s.d.(x) = (c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 68% of all randomly selected samples of n = 120 students, the mean amount of sleep the previous night will be between and hours. (d) Use the Empirical Rule to fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 95% of all randomly selected samples of n = 120 students, the mean amount of sleep will be between
(a) Find the mean u and the standard deviation o for the collection of N = 8 stocks. (b) Find the sample mean i and sample standard deviation s of the random sample of stocks.
The average income in a state was $64 comma 64,000 per person per year. Suppose the standard deviation is $29 comma 29,000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the state. Complete parts (a) and (b) below. a. What value should we expect for the sample mean? Why? b. What is the standard error for the sample mean?
Solve it correctly please. I will rate accordingly.
In each situation, find the value of the standardized statistic for the sample mean, and indicate whether the standardized statistic is a t-statistic or a z-statistic. (Round your answer for part (a) to three decimal places.) (a) x = 195, u= 190, s = 21, n = 4 standardized statistic = it's t because s is used instead of o v (b) x = 195,H= 190, o = 25, n = 4 standardized statistic = it's z because o is known (c) x = 168,H= 190, s = 22, n = 25 standardized statistic = : it's t because s is used instead of o
In order to use the formula ??−???=??√σx−bar=σn to calculate the standard deviation of the sampling distribution of the sample mean, what is the minimum sample size required? (a) 10 (b) 30 (c) 50 (d) 100
Suppose the percentage of married couples who own a home is 33% for a given population. What is the standard error of the sampling distribution of proportions for the sample sizes n = 200, n = 300, and n = 400?
We selected a random sample of size 200 from a pool of university students and asked whether they use Facebook on a regular basis. Eighty replied yes. What would be your estimation of the standard error of the sample proportion of regular Facebook users based upon the given information?

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