Let Y be a random variable. In a population, Hy = 92 and o= 40. Use the central limit theorem to answer the following questions. (Note: any intermediate resultsshould be rounded to four decimal places)In a random sample of size n = 58, find Pr (Y <95).Pr (Y < 95) =O(Round your response to four decimal places)In a random sample of size n = 125, find Pr (93< Y <96).Pr(93 < Y <96) = O(Round your response to four decimal places)In a random sample of size n = 93, find Pr (Y > 93).Pr (Y > 93) =(Round your response to four decimal places)

Given that: X is normally Distributed with mean µ = 92.0 and standard deviation σ = 6.32456 By using…

Answered: Let Y be a random variable. In 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

An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.05, test the claim that the mean salary is $95,000. Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries: 100,683 96,363 93,511 112,615 82,435 74,211 77,041 80,894 102,398 76,130 104,053 104,040 91,094 82,028 85,015110,258 Identify the claim and state H0 and Ha. H0:___ ___ ____ Ha: ___ ___ ____ (Type integers or decimals. Do not round.) The claim is the________(alternative or null) hypothesis. Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0= ____ , _____ (Use a comma to separate answers as needed. Round to two decimal places as needed.) The standardized test statistic is T=_______________________________…
Let XXN(u. 16). How much should the sample size he for testing HeiH = 24 rs. He = 25 ata = 0.025 and ß = 0.409 (a) 77 (b) 48 (c) 35 (d) 28 (e) None
Let X₁, X₂.....X₁ be a random sample from an exponential distribution with parameter 8. Find the MLE for P(X≥1).
For the population whose distribution is Uniformly distributed from 30 to 52, random samples of size n = 39 are repeatedly taken. Compute u and round to two decimals. Use this value to find the following. Round answers to three decimals if needed. Answers of 0 and 1 are possible due to rounding. a. P(40 < < 43): b. The 25th percentile for sample means: Submit Question
A simple random sample of size n = 50 is obtained from a population that is skewed left with μ=41 and o=7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. Yes. The central limit theorem states that the sampling variability of nonnormal populations will increase as the sample size increases. OB. No. The central limit theorem states that only if the shape of the underlying population is normal or uniform does the sampling distribution of x become approximately normal as the sample size, n, increases. O C. No. The central limit theorem states that regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases. O D. Yes. The central limit theorem…
a sample is selected from a normal population with u=40 and σ =12. If the sample mean of M=36 corresponds to z=-2.00, then the sample size is n=64. is it true or false
Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(
Jaden throws darts at circular target of radius r and is equally likely to hit any point in the target. Let R be the distance of Jaden’s hit from the center. (a) Find the variance of R. (b) Suppose that the target has an inner circle of radius t. If R ≤ t, Jaden gets a score of S = 1/R. Otherwise, his score is S = 0. Find the c.d.f. of S.
The heights of fully grown trees of a specific species are normally distributed, with a mean of 54.5 feet and a standard deviation of 5.75 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is u- %3D The standard error of the sampling distribution is o, = X. (Round to two decimal places as needed.) Choose the correct graph of the sampling distribution below. O A. В. OC. 2. 51.9 54.5 57.1 43.0 54.5 66.0
For the population whose distribution is Uniformly distributed from 35 to 45, random samples of size n = 34 are repeatedly taken. Compute u and round to two decimals. Use this value to find the following. Round answers to three decimals if needed. Answers of 0 and 1 are possible due to rounding. a. P(41 < a < 43): b. The 15th percentile for sample means: Submit Question r
A researcher selects a random sample of 58 mice from her laboratory. For each mouse, she records the weight of the mouse in grams and whether the mouse prefers Brand A or Brand B food. She would like to know if there is convincing evidence that mouse weight is associated with food preference. Let = 0.10. The observed and expected counts are displayed in the tables. Observed counts: Expected counts: Which of the following contributed the most to the value of the χ2 statistic? average weight and Brand A average weight and Brand B not average weight and Brand A not average weight and Brand B

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