I independent random variables X' and Y' have the variances 36 and 16 respectively, find the correlation coefficient between (X+ Y) and (X- Y) assuming X and Y are zero mean.

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A: Given  n1=100, n2=150, σ1=σ2=10, s1=10, s2=12  x̄1=200, x̄2=220

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Q: 1. If the random variable X from a distribution with mean 50 and variance 10 and y = 0.8x + 15. Find…

A: It is an important part of statistics. It is widely used.

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A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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Q: Suppose we want to estimate the concentration (ug/mL) of a specific dose of ampicillin in the urine…

A: Given : Sample mean = x = 7 sample standard deviation =  2 Sample size = n = 25

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A: The degrees of freedom = n-2=20-2=18

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A: As per guidelines we will solve first question only, please repost other questions for more answers.…

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A: The provided information is:

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Q: (b) Use rules of variance to obtain an expression for the variance and standard deviation (standard…

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Q: e simple regression line y=α+βx for th

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Q: (b) Find the critical value(s) assuming that the population variances are not equal.

A: (b)  Degrees of freedom = min(n1-1, n2-1) = min(12-1, 10-1) = 9

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A: GivenMean(μ)=5.4variance(σ2)=0.16standard deviation(σ)=0.16=0.4

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A: Given Data: Sample mean (x¯)=250Sample Variance (s2)=625n=25 H0: μ=285 HA: μ≠285   Under H0:…

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Q: 2. The average zone of inhibition (in mm) for mouthwash L as tested by the medical technology…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: Solution: Given information: n= 10 Sample size  s2= 0.13 Sample variance σ2= 0.27 Population…

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A: Given : population mean , u = 14

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