re1 1. Given :Number of pairs of observation X and Y series = 8X series Arithmetic 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%3D%3Dcoefficient of correlation.E dx dy- N (X- Ax) (Y – Ay)Nox Oyr=

Answered: Image /qna-images/answer/5496e580-c996-46da-a532-f016ce4b1c40.jpg

Answered: r11. Given: Number of pairs of…

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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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 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
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%.
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 15.55% from the rest? That is, if P(z>c)=0.1555, find c. C= ________ Celcius
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 46.73% from the rest? That is, if P(z > c) = 0.4673, find c. c = °C
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 25.4 kilograms and standard deviation σ = 3.4kilograms. Let x be the weight of a fawn in kilograms. Convert the following x intervals to z intervals. (Round your answers to two decimal places.) (a) x < 30z < (b) 19 < x< z(c) 32 < x < 35< z< Convert the following z intervals to x intervals. (Round your answers to one decimal place.) (d) −2.17 < z< x(e) z < 1.28x < (f) −1.99 < z < 1.44< x< If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain using z values If a fawn is unusually large, would you say that the z value for the weight of the fawn will be close to 0, −2, or 3?
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?
The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16
A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 13. For Englewood (a suburb of Denver), a random sample of n2 = 10 winter days gave a sample mean pollution index of x2 = 35. Previous studies show that ?2 = 11. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. what is the sample test statistic find or estimate p value
A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a sample mean pollution index of x2 = 37. Previous studies show that ?2 = 11. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance. What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)=__ (c)Find (or estimate) the P-value. (Round your answer to four decimal places.=__

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