A sample of n = 100 scores is selected from a normal population with µ = 75 and σ = 11. The probability of obtaining a sample mean greater than M = 78 is p = 0.0032.   A.) True B.) False

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A: We have given that  X~N(mu,sigma^2) mu=300, sigma =8 , sample size n=4 Z-score =(x - mu)/sigma

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A: The Expected value for the sample mean is 40 and it is obtained below:

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A: Using the excel following standard normal probabilities can be obtained as:

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A: Given information P=0.65 n=31 q=1-0.65     = 0.35 Mean = np= 31*0.65 = 20.15 Std =√npq =…

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A:

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A: Given Data: z represents the standard normal distribution   To Find: P(-2.51<z<-1.53)

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A: According to given data: The value of E(X): EX=149+249+319EX=49+89+39EX=159EX=1.66

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A: Solution:  To test the hypothesis  Ho:μ1=μ2       VS   Ha:μ1>μ2 x1= 26 x2=21

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: A certain pen has been designed so that true mean writing lifetime under controlled conditions…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The random sample X is normally distributed with mean 50 and standard deviation 18. If n=324,…

A: SolutionLet X be the random variable normally distributed with mean 50 and standard deviation 18.Let…

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A: Image is attached with detailed solution.

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A: Is is given that Z is standard normal variable i.e Z follows N(mean = 0, SD = 1).

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