Please answer Question C 2 Linearcombinations and inference(a) A large chain of retail outlets has several stores in each capital city of Australia, including a similarnumber of stores in each of Brisbane and Perth. An analysis of the variations in profits from eachof these cities indicates that the variance of monthly profits in Brisbane is about 2570(k$)² and thevariance of monthly profits in Perth is about 1789 (k$)2. A comparison of the difference in profitsbetween the two cities indicates that the variance of the monthy difference in profits between thesecities is about 1253(k$)².i)Use this information to calculate the covariance of the monthly profits in these twoii)cities.Hence find the correlation (p) between the monthly profits in these two cities.(b)Quality control staff wish to estimate what proportion p of the resistors made in theirfactory are being scrapped due to defects. They observe a random sample of n = 750 resistors fromthe production line and calculate the sample proportion of scrapped resistors to be p = 0.016.Use this information and the statistical tables provided on Canvas to determine an approximaterange a such that the sample proportion from a sample of this size will lie within a of p withconfidence level 99%, that is, such that Pr(p - p|

The concentration of a particular chemical in a processing plant is monitored regularly to check…

and a sample standard deviation (s) of 0.16 mmol/L. Use this information and the statistical tables provided on Canvas to carry out the statistical test mentioned above, and report on what evidence (if any) there is to suggest that the mean concentration of the chemical has varied from the desired level.

and a sample standard deviation (s) of 0.16 mmol/L. Use this information and the statistical tables provided on Canvas to carry out the statistical test mentioned above, and report on what evidence (if any) there is to suggest that the mean concentration of the chemical has varied from the desired level.

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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