3 For an SRS {4₁};=, from the normal distribution.==// (Y-M) 2fy (y;u, 0²) -1еvärvozeShow that the sample mean I is a consistent estimator,

Answered: 3 For an SRS {Y: ³;=, from the normal…

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, household color TVs are replaced at an average age of μ = 9.0 years after purchase, and the (95% of data) range was from 5.8 to 12.2 years. Thus, the range was 12.2 − 5.8 = 6.4 years. Let x be the age (in years) at which a color TV is replaced. Assume that x has a distribution that is approximately normal. (a) The empirical rule indicates that for a symmetric and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from μ − 2σ to μ + 2σ is often used for "commonly occurring" data values. Note that the interval from μ − 2σ to μ + 2σ is 4σ in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values. Estimating the standard deviationFor a symmetric, bell-shaped distribution, standard deviation ≈ range 4 ≈ high value − low value 4 where it is estimated that about 95% of the commonly occurring data…
Suppose X is a non-standard normal variable, with a mean of 118, and std deviation of 15 (i.e. X~N(118,15)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = -0.03, what is it on an X scale?
A persons blood glucose level and diabetes are closely related XB a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Supposed to after a 12 hour fast the random variable X will have a distribution that is approximately normal with mean of u=87 and a standard deviation of O=25. Note: after 50 years of age both the mean and Standard deviation tends to increase for an adult under 50 after 12 hour fast find the following probabilities A) X is more than 60 B) X is less than 60 C) X is between 60 and 110 D) X is greater than 125 (borderline diabetes starts at 125)
The business school at Wassamatta U. receives a large number of applicants to its undergraduate honors program in economics. This photo shows the GPA's of a sample of 260 applicants that have applied to the program in the last several years. From the data the mean GPA is x = 3.13 with standard deviation s = 0.395 1) If a normal model N(3.13,0.395) is an appropriate model for the GPA's of all applicants to the undergraduate honors program in economics, what is the probability that an applicant's GPA is 3.25 or greater? Use three decimal places. 2) what is the actual proportion (a decimal number between 0 and 1) of GPA's in the data that are 3.25 or greater? GPA bins 3.24 2.375 3.63 2.5 3.35 2.625 2.93 2.75 3.26 2.875 3.02 3 3.75 3.125 3.48 3.25 2.77 3.375 2.78 3.5 3.18 3.625 3.58 3.75 2.96 3.875 2.76 4 3.32 3.03 3.18 3.07 3.10 2.88 2.40 3.19 3.16 3.01 2.99…
The average height X and weight Y of males in population have a bivariate normal distribution with means µX 1.80 m., µy 90.0 kgs and standard deviations Ox = 0.30 m., oy = 15.3 kgs respectively. The correlation coefficient between X and Y is p= 0.80.
For any variable X, if: the standard deviation = and the variance = Var(X) Which of the following statement is true: Select one: a. SD < Var(X) O b. (SD)² = Var(X) (SD) C. SD = [var(x)]²
In the past, students in a particular course have achieved a mean Xmas test score of 72.6, with a standard deviation of 12.5. This year, 15 students in one section achieved a mean Xmas test score of 72.2, while 10 students in another section achieved a mean Xmas test score of 77.3. Is the overall (grand) mean of the 25 students in this year's two sections significantly different from the mean obtained in previous years (α ≤ .05)?
A certain variable has a bell-shaped distribution with mean μ=176.16μ=176.16 and standard deviation σ=4.9σ=4.9. You observe a value of x=184x=184. Is this a TYPICAL value of the variable (within 2 standard deviations of the mean), or an UNUSUAL one (more than 2 standard deviations from the mean)?

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

3 For an SRS {Y: ³;=, from the normal distribution 1 fiy (цілето 2) vivore (y;u, - Show that the sample mean I is a consistent estimator, 2 7/2/2 (Y-M) ²