Given :Number of pairs of observation X and Y series = 8X series Àrithmetic Average = 74.5X series Assumed Average = 69.0X series Standard Deviation = 13.07Y series Arithmetic Average = 125.5Y series Assumed Average = 112Y series Standard Deviation = 15.85Summation of products of corresponding deviations of X and Y series = 2,176, Calculate the%3Dcoefficient of correlation.E dx dy- N (X- Ax) (Y– Ay)Nox oyr=

Answered: Image /qna-images/answer/980cbf16-cdc6-4a13-a09d-a4fc09952b04.jpg

Answered: Given : Number of pairs of observation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You source a battery for your product from two different suppliers (A and B). You suspect that theequivalent series resistance (ESR) of batteries supplied by the two suppliers is not the same. Thestandard deviation of ESR from each supplier is 2 ohms. You would like to be able to determine an ESRdifference of 1 ohms between suppliers. How many parts would you need to sample from each supplier(assume you sample the same number from each supplier) for a power level of 90%. Assume the desiredsignificance level (?) is 5%.
Suppose you have a sample of size n for variables X and Y. The sample covariance of X and Y is Cov(X,Y) = 1,000, the sample standard deviation for X is Sx=20 and the sample standard deviation for Y is SY=75. What is the sample correlation coefficient, r?
The length of a certain type of chain are approximately normally distributed with a mean of 2.7 cm and a standard deviation of 0.2 cm find the value of l such that P(L > l)=0.01
The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34. Calculate Var(X+Y) with a full explanation
A sample of 20 observations is taken from the normal distribution where the sample mean is 3. The normal distribution has a mean of 0 and a variance of e^beta. a)Find the estimator for the method of moments for beta and the numerical value of it?
The null and alternate hypotheses are:H0: μ₁ = μ2H1: μ₁ ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 26 and a sample standard deviation of 5.0. A random sample of 8 observations from another population revealed a sample mean of 30 and a sample standard deviation of 6.0. The population standard deviations are unknown but assumed to be equal. At the 0.01 significance level, is there a difference between the population means?
A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in Region 2. The mean daily lodging cost for 41 families traveling in Region 1 is $130 with a population standard deviation of $26. The mean daily lodging cost for 41 families traveling in Region 2 is $138 with a population standard deviation of $25. At α=0.10, is there enough evidence to reject the group's claim? Complete parts (a) through (e). (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. What is the claim? A. The mean daily lodging cost in Region 1 is less than Region 2. Your answer is not correct. B. The mean daily lodging cost in Region 1 is greater than Region 2. C. The mean daily lodging costs in Region 1 and Region 2 are different. D. The mean daily lodging costs in Region 1 and Region 2 are equal. This is the correct answer. What are Upper H 0H0 and Upper H Subscript aHa? A. Upper H 0H0: mu 1μ1greater…
The lengths of a certain type of chain are approximately Normally distributed with a mean of 3 cm and a standard deviation of 0.2 cm. Find the value of ℓℓ such that P(L>ℓ)=0.01P(L>ℓ)=0.01A. 7.19 cmB. 3.47 cmC. 3.00 cmD. 0.20 cmE. 3.09 cm
It is known that 80-foot blue whales consume, on average, 3200 kg of krill per day. 100-footers consume on average 3600 kg of krill per day. Assume that the mean daily krill consumption varies linearly with whale length and that the daily consumption for a given whale follows a Gaussian distribution with a standard deviation of 200 kg of krill per day. Define the linear Gaussian distribution, P(k∣l), relating the rate of krill consumption k to whale length l.
Let X be normally distributed with mean 3 and standard deviation 2, and let Y be normally distributed with mean 8 and standard deviation 1. Suppose (X, Y ) have a bivariate normal distribution with Cov(X, Y ) = 1.5. What is P(X > Y )?
X is normally distributed with mean 2 and standard deviation 3. Y is normally distributed with mean 4 and standard deviation 4. What is P(Y > X)? (a) If X and Y are independent? (b) If X, Y have a multivariate normal distribution, and Cov(X, Y ) = 2?
The College Board states that the students spend an average of $1200each year on textbooks. The Dean of a university believes it’s not the average at hisschool. He samples 51 students and finds they have an average cost of $1260 with astandard deviation of $175. What critical value is needed for this test at alpha=0.05? a. Z = +/- 1.65b. Z = +/- 2.44c. T=+/- 1.676d. T=+/- 2.009

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