Calculate the coefficient of correlation between X and Y series from the following dataSeriesYNo. ofpairs ofobservations1515Arithmetic mean2518Standard deviation3.01303Sum ofsquares of deviations from mean136138122.Summation ofproduct deviations of X and Y series from their respective arithmetic means

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Answered: Calculate the coefficient 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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A correlation is computed for a sample of n = 18 pairs of X and Y values. What correlations are statistically significant with ? = .05, two tails? correlations between 0.468 and −0.468 correlations greater than or equal to 0.468 and correlation less than or equal to −0.468 correlations between 0.456 and −0.456 correlations greater than or equal to 0.456 and correlation less than or equal to −0.456
Let Xi be the allowance the boy gets in the ith week. Assuming a year has 52 weeks, what are the expected vaule, variance, and standard deviation of the total amount of allowance that the boy can get in a year X1+X2+X3...X52?
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.If 4.7% of the thermometers are rejected because they have readings that are too high and another 4.7% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.Interval of acceptable thermometer readings _________ °CEnter your answer as an interval (a,b) with 2-decimal place accuracy.
Supposethat the times taken for germination for cauliflower seeds are normally distributed with a mean of 6.8 days. Suppose also that exactly 85% of the cauliflower seeds germiante in 6.2 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round you answer to at least two decimal places. _____ days
Assume that the readings at freezing on a bundle 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.If 4.8% of the thermometers are rejected because they have readings that are too high and another 4.8% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings =_____________ °C
Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100Ω and standard deviation 4Ω, and R2 is normally distributed with mean 120Ω and standard deviation 10Ω. What is the probability that R2 exceeds R1 by more than 30 Ω?
Suppose another researcher takes a random sample of 1000 subjects from the same population (US physicians who received payments from any of 8 major pharmaceutical companies in 2011). You have not yet seen these data. Likely, how will the sample standard deviation of these 1000 values (s1000) compare to the sample standard deviation of individual physician payments in the sample of 400 (s400=17 ) 1 punto
A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9000 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 195.4 pounds, with a standard deviation of 69.2 pounds. What is the probability that the weight limit willl be exceeded when there are exactly 44 passangers and 3 crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Suppose that the times taken for germination for cauliflower seeds are normally distributed with a mean of 7 days. Suppose also that exactly 70% of the cauliflower seeds germinate in 6.2 days or more. Find the standard deviation of times taken for germination for cauliflower seeds. Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
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.If 4% of the thermometers are rejected because they have readings that are too high and another 4% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. Round answers to 3 decimal places.interval of acceptable thermometer readings Assume that the readings at freezing on a bundle 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. Find P5, the 5-percentile. This is the temperature reading separating the bottom 5% from the top 95%.P5 = °C 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…
Suppose that the diameter of meter shafts in a lot have a mean of 0.249 inches and standard deviation of 0.03 inches. The inner diameter of bearings in another lot have a mean of 0.255 inches and standard deviation of 0.002 inches.a) Find the mean and standard deviation of clearances between shafts and bearings selected from these lots.b) If a shaft and bearings are selected at random, find the probability that the shaft will not fit inside the bearings. Assume that both dimensions are normally distributed.
Suppose a random sample of exponential random variables X1, ..., Xn is taken. Find the meanand standard deviation of the sample mean.

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