Let x1,X2,X3.X25 is a random sample from normal distribution with mean (M) ane variance ( 36 ) we shall reject Ho: M=75 and accept H;: M=80 iff > A ,where a i A-75 constant it is desired to have a = 0.01 detemine OC(M) where 2.33? %3!

Q: A normal distribution has u = 30 and o = 5.

A: Given that, Mean = 30 Standard deviation = 5 Z score = 1.3

Q: 15

A: Solution r be the correlation coefficient lies between -2 and 1

Q: For the normal distribution shown below, what area is contained between -2 and 1? -3 -2 -1 3 T2

A: Normal distribution is the most common continuous probability distribution. In a normal distribution…

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A: Given thatIn a random variable x having a gamma distribution with mean = 9 and variance =27

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Q: Answer true or false. If false, explain why. Suppose that X1, X2, . . . , Xn is a random sample from…

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Q: X is a random variable of student score approximately normal with mean μ = 60 and a standard…

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A: Given that Class Frequency (f) Mid value (x) f⋅x f⋅x2 =(f⋅x)×(x) 0-20 620 10 6200 62000 20-40…

Q: For a Binomial Distribution if n =6 and 9 P(X=4) =P(X=2) find i) Variance

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Q: Consider a random variable X that follows a uniform distribution with a= 1 and b = 4 Find the…

A: Answer: From the given data, a = 1  and b = 4 X follows uniform distribution,

Q: Q5: Let X be a random variable following a normal distribution with mean 14 and variance 4.…

A: Given, Mean μ = 14Variance σ2 = 4Standard deviation σ = 2 P(X-2 > c) = 0.95

Q: TRUE OR FALSE: The mean for the distribution of sample means is always equal to the mean for the…

A: We have to identify statement is true or false.

Q: My teacher didn't explain this well.   1. X is a Normal random variable with a mean of 0 and a…

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Q: persons blood glucose level and diabetes are closely related XB a random variable measured in…

A: According to guidelines we solve first three subparts when given multiple subparts.

Q: Quantitative data on a variable are collected for two independent groups, with the number of…

A: @solution::     df(Tr)=k-1=4-1=3 df(Error) =N-k=64-4 =60 SST =(n-1)*s2 =63s2 SSE…

Q: For a binomial distribution with p=- and µ=- the standard deviation is

A:

Q: uppose x has a distribution with a mean of 90 and a standard deviation of 27.  Random samples of…

A: Solution: Given information: n= 36 Sample size μ= 90  Population mean σ= 27 Population standard…

Q: ) If X is normally distributed with a mean of 4 and a variance of 9, find P(X > 5.5). I your answer…

A: From the provided information,

Q: uppose X ~ N(11,0.5), and x = 10.5. Find and interpret the z-score of ne standardized normal random…

A: Given information:   X ~ N(μ, ?)   μ = 11, ? = 0.5, x = 10.5

Q: Let data be x1, . . . , xn. each data-point xi is normally distributed, with unknown mean θ and…

A: We have a random sample X1,X2,....,Xn which is normally distributed with unknown mean θ and standard…

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Q: X is normally distributed with mean 4 and standard deviation 1. Y is independent and normally…

A: Given, X is normally distributed with μ1=4σ1=1 y is normally distributed with μ2=3σ2=3

Q: (HC) adult standard deviation. A random sample of ten healthy adult females was taken with the…

A: Comment: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: Continuous random variable, x, comes from a normal distribution with = 2000 and 0 = 300. What value…

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Q: Calculate Mean Deviation (i) from Mean () (ii) from Median () for the given data and verify that…

A: Given: x f 2 3 4 9 6 5 8 2 10 1

Q: A population of values has a normal distribution withu = 182.8 and o = 70.6. You intend to draw a…

A: Given Information: u = 182.8  σ = 70.6 n = 181  The z score at 23 percentile value is -0.739

Q: The random variable, x, has a normal distribution. How many standard deviations above the mean must…

A: Given The random variable, x, has a normal distribution.

Q: Suppose the relationship between Y and X is given by: Y = 30 - 25X + error  What is the expected…

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Q: Let Y, represent the ith normal population with unknown mean #, and unknown variance of for i=1,2.…

A: Given that the random variable  represent the ith normal population with unknown mean  and unknown…

Q: If x has a normal distribution with mean u=15 and standard deviation o=3, describe the distributin…

A: Given information, μ=15σ=3 Given sample sizes, n=4, n=16, n=100. The sampling distribution for n=4:…

Q: What is the value for a score that has a z= +1.5 from population with a mean of μ=30 and a standard…

A: Z score = +1.5 Mean = 30 Standard deviation = 6

Q: You run a candle manufacturing factory and over the past year the average output of the factory is…

A: From the provided information, Mean (µ) = 480 Standard deviation (σ) = 10 X~N (480, 10) Sample size…

Q: A population forms a normal distribution with a mean of 85 and a standard deviation of 24 compute…

A: The mean is 85 and the standard deviation is 24.

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Q: If X is a normally distributed random variable with a mean of 235 Find the standard deviation given…

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Q: A population of values has a normal distribution with μ=200.6μ=200.6 and σ=20.8σ=20.8. You intend to…

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Q: You believe both populations are normally distributed, but you do not know the standard deviations…

A: (a) The test statistic is 0.797, which is obtained below:…

Q: Suppose X is a random variable of a normal distribution with E(X)=2 and Var(X)=4. Find P(X<4)

A: