Prove two formulas for sample variance are equivalent. i.e.Σ(x - 7) _Σ – (Στ)ηη-1n-1

Here, we have given two formulas for sample variance . Then, we have to show that those are…

Answered: Prove two formulas for sample variance…

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

Indicate whether each of the statements below is True or False. No explanation is needed. i If random variable X has a larger expected value than random variable Y then it must also have a larger variance. ii Let random variable X be the height of a random CS5002 student in feet and X' be the height of a student from the same group in millimeters?, The variance of X' is greater than the variance of X. iii For every positive a, b eR there exists an no such that: n > no → an³ > bn² 'Unless you have made arrangements with the Professor prior to the start of this exam 2 Assume that not all students have the same height 1 Use the function definitions immediately below for the next 3 problems: f(n) = 3n log10 n + 5 g(n) = 99999 log3 n h(n) = .00001 logą n+.0000001n? iv f(n) = 0(h(n)) v g(n) = 0(h(n)) vi f(n) = 2(g(n)) vii An undirected graph on n nodes with at least ()/2 edges must be connected.
Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in January for a town in Hawaii. The x variable has a mean μ of approximately 68°F and standard deviation σ of approximately 4°F. A 20-year study (620 January days) gave the entries in the rightmost column of the following table. I II III IIII Region under Normal Curve x°F Expected % from Normal Curve Observed Number of Days in 20 Years μ – 3σ ≤ x < μ – 2σ 56 ≤ x < 60 2.35% 19 μ – 2σ ≤ x < μ – σ 60 ≤ x < 64 13.5% 78 μ – σ ≤ x < μ 64 ≤ x < 68 34% 202 μ ≤ x < μ + σ 68 ≤ x < 72 34% 220 μ + σ ≤ x < μ + 2σ 72 ≤ x < 76 13.5% 87 μ + 2σ ≤ x < μ + 3σ 76 ≤ x < 80 2.35% 14 (ii) Use a 1% level of significance to test the claim that the average daily January temperature follows a normal distribution with μ = 68 and σ = 4. (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected…
2x + 1 25 a. P(X= 4) b. P(X -10) 3.1.11 WP SS VS f(x) = x = 0, 1, 2, 3, 4 3.3.3 WP VS Determine the mean and variance of the random variable in Exercise 3.1.11.
Group A is a sample of 25 people and has a Sum of Squares of 800 Group B is a sample of 20 people and has a Sum of Squares of 1600 Use the information from both samples to estimate the variance of the null hypothesis distribution?
A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X Y 0 1 2 3 0 k 0.03 0.01 0.03 1 0.01 0.04 0.04 0.05 2 0.03 0.02 0.04 0.68 What is the expected total number of staff (waiters and chefs) that will show up on any given day?
If the random variable X as a mean of u and a variance of o2 what is the P((X-u)² < 20): O less that equal to 1/4 O greater than or equal to 3/4 cannot tell O equal to 5/4
Suppose that the contagious period of COVID-20 has an average of 7 days, and follows a chi-square distribution. Let X measure the contagious period for a randomly selected specimen of the COVID-20 virus. State the distribution of the random variable X. Group of answer choices X∼χ2(6) X∼Student′st(7) X∼χ2(7) X∼Continuous(7) A friend of yours has COVID-20 and the doctors have told her that she has had it for 10 days. Compute the probability that they are still contagious. (I.E. compute the probability that X is greater than or equal to 10 days.)
Suppose the horses in a large stable have a mean weight of 818 lbs, and a variance of 3481. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 18 lbs if 34 horses are sampled at random from the stable? 0.920 0.925 0.912 O 0.945 None of these t

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

Prove two formulas for sample variance are equivalent. i.e. Σ(x-x)2 Σ Σx - (Σα)2 n n-1 n-1 82