A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is a. 0.9772 O b. 0.4772 O c. 0.0228 O d. 0.5228

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A:

Q: On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the…

A: Given data ,Mean u=300S.D σ=20

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Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A: Solution: From the given information, µ=37, σ=12 and n=64.

Q: The life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and…

A: Given that.   X~N( μ , ?^2 )   μ=30000    , ?=6000   Z-score =( x - μ )/?

Q: If the standard deviation of a population is 20 and we take a sample of size 16 from which to…

A: Given information Standard deviation σ = 20 Sample size n = 16

Q: The probability that a football game will go into overtime is 11%. In 480 randomly selected football…

A: given datap=0.11n=480here p=pobability of go into over timex= no. of games wnt to overime

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Q: In a normal distribution, 99.7% of the data fall within how many standard deviations of the mean? A.…

A: Solution-: In a normal distribution, 99.7% of the data fall within how many standard deviations of…

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

A:

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

A: Random variables are of 2 types, discrete and continuous, a normal distribution is a continuous…

Q: A set of scores has a mean of 5.8 and a standard deviation of 2.3. Calculate the z scores for the…

A: Given Data: Meanμ=5.8 Standard deviationσ=2.3   To Find: z-score for a) 2.1 b) 5.7 c) 7.3 d) 12.4

Q: Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of…

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A: Obtain the approximate probability that the sample mean tip percentage for a random sample of 40…

Q: a population has a normal distribution with a mean of 50 and a stadnard deviation of 10. if a random…

A: Given,mean(μ)=50standard deviation(σ)=10sample size(n)=9

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

A:

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given,mean(μ)=8.4standard deviation(σ)=1.8sample size(n)=40

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A: Solution: Given:   n: size of random sample  = 1000 p: sample proportion          = 0.70…

Q: A population of scores has u=55 and o=15.  if 5 points are subtracted from every score in the…

A: The given data is μ = 55σ = 15 Suppose x1, x2, x3, x4, ..., xn are the data points…

Q: The symbol oz represents the standard deviation of a sample of size n. True O False

A: Answer : B. False

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A: Given Raw Score = x = 178 Mean = μ = 165 Standard Deviation = σ = 8 In normal distribution, z = x-μσ

Q: A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be…

A: It is given that the mean is 80 and the standard deviation is 7.

Q: Given a normal population whose mean is 50 and whose standard deviation is 5. Find the probability…

A: Let X be the random variable. It is given that X is normally distributed with mean 50 and standard…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of…

A: We have given that,  Hypothesized mean = 3.3 , Mean = 3.2 , SD = 1.06 , Sample size = 50 , At…

Q: In a certain state, the daily amounts of industrial waste are normally distributed with a mean of…

A: Let us denote X=the daily amounts of industrial wasteGiven that X is normally distributed with…

Q: A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be…

A: 2st Question:  (c) 0.9511

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A: Solution

Q: On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a…

A: Given that.   X~N( μ , ?^2 )   μ=77     , ?=16.8   Z-score =( x - μ )/?

Q: Let ?̅ be the mean of a random sample of size 65 drawn from a population with a mean of 75 and a…

A: Solution-: Let, X= be the random variable Given: μ=75,σ=19,n=65 We find, (a) Mean of  X¯=? and…

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Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 and a standard deviation of…

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Q: The mean of a certain normal distribution is equal to the standard deviation of the sample mean of a…

A: Given: Let μ be population mean σ be the population standard deviation Given: Mean = standard…

Q: Given a normal population whose mean is 580 and whose standard deviation is 37, find each of the…

A: Given that  mean = 580 standard deviation = 37

Q: In a sample of size 36, the sample mean was found to be 54.6. If the probability of getting a sample…

A: Given : In a sample of size 36, the sample mean was found to be 54.6.

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

A: Given Data: Let X represent the random variable Mean=180 SD=24 n=64

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A: Given information- Population mean, µ = $40,000 Population standard deviation, σ = $5,000 We have to…

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Q: A set of scores in Statistics examination is approximately normally distributed with a mean of 74…

A: Given: The value of mean is, μ=74. The value of standard deviation is, σ=7.9. The objective is to…

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Q: A normal population has a mean μ = 32 and standard deviation σ = 10. What is the probability that a…

A: Solution-: Let, X= be the random variable Given: We find,

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Q: e scores for a standardized reading test are found to be normally distributed with a mean of 300 and…

A: If a test has a mean of 300 and standard deviation of 40 with N= 490, about how many individuals…

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Correct answer is (B) 0.6826