Chebyshev's Theorem states that for any set of numbers, the fraction that will like within k Standard deviations of the mean is at least 1- 1/k2. Use this theorem to find the fraxtion of all the numbers of a data that must lie within 3 standard deviations from the mean.

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

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Q: A sample of n=25 scores has a mean of 68. Find the z-score for this sample. If it was obtained from…

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Q: A sample of n=5 scores has a mean of x=9. what is Ex for this sample?

A: Mean = 9 n = 5

Q: Suppose duration of pregnancy has a mean of 266 days and a standard deviation of 16 days. Use…

A: (a)The proportion of pregnancies lasting between 250 days and 282 days is,

Q: A population with a mean of µ = 15 has 40 scores. What is X?

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Q: For an educational study, a volunteer must place in the middle 50% on a test. If the mean for the…

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Q: What is the z score of x=30 if x is three deviations to the left of the mean?

A: From the provided information, x = 30 and it is three deviations to the left of the mean.

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: From the provided information, Mean (µ) = 116 Standard deviation (σ) = 14 X ~N (116, 14)

Q: In a group of 10 workers, the wage of the lowest paid worker is $ 225 less than the average wage of…

A: Given : N=10 Lowest paid worker = 225 We have to tell standard deviation of wages = 7.53

Q: A normal distribution has a mean of µ = 200 with σ = 20. If a vertical line is drawn through the…

A: Let X be a random variable such that X~N200,202

Q: The scores on the 2020 ACT were approximately normal, with a population mean of μ = 22, and a…

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Q: Suppose the scores of students on an exam are normally distributed with a mean of 264 and a standard…

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Q: On average, Americans have lived in 2 places by the time they are 18 years old. Is this average less…

A: Sample size is greater than 30 and the population standard deviation is known. It is appropriate to…

Q: Suppose that a researcher is interested in the possible relationship between the amount of screen…

A: List of formulae : Test statistic : t =rn-21-r2 Where , r is correlation coefficient. r =…

Q: A research worker wants to determine the mean time it takes a mechanic to rotate the tires of a car,…

A: From the provided information, Confidence level = 95% Population variance (σ2) = 2.56 Then, the…

Q: For a population, a deviation score is computed as X – σ.

A: What is Deviation score ? Deviation score is basically a degree of score from which a raw score is…

Q: A score that is 3 points lower than the sample mean has a z-score of z = -0.25, and a score of X =…

A: Given information: Case-1: z = -0.25  Score (X) = u-3  Sample mean (u) = u  Case-2: z = -0.75  X =…

Q: A population has a mean of 50 and a standard deviation of 20. Would a score of X= 70 be considered…

A: If the score X is greater than Q3 + 1.5 (IQR) or lower than Q1 - 1.5 (IQR) then score X is said to…

Q: Given that mean set is 15, and then z - score for the value x = 24 in this data set is z=1.5 , then…

A: We have to find the standard deviation of this set ...

Q: What is the z-score of x = 11, if it is 2.5 standard deviations to the left of the mean?

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Q: Suppose that 16 samples of pesticide concentrations in plants in Halifax are taken giving a sample…

A: Given,margin of error(E)=2standard deviation(σ)=5.3α=1-0.99=0.01α2=0.005Z0.005=2.58     (from…

Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 50 and…

A: Given mean is 50 and the standard deviation is 5. There are 35 students

Q: Suppose that a researcher is interested in the possible relationship between the amount of screen…

A: Given information: X represents the amount of screen time each day. Y represents IQ of school-age…

Q: Suppose that the newborn weights are normally distributed with a mean of m kg and a standard…

A: We have given that  Mean(µ) = mStandard deviations (σ) = 0.8

Q: We would expect about 68% of the seniors to score between ______ and _______.

A: Let , X→N(μ=460 , σ=76) Our aim is to find the bout 68% of the seniors to score between ______ and…

Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 65…

A: Given data: Mean μ=65 standard deviation σ=5

Q: Suppose that scores on a particular test are normally distributed with a mean of 130 and a standard…

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Q: A sample with a mean of  8 has ∑ x = 72. How many scores are in the sample?

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Q: Assume that women's weights are normally distributed with a mean given by mean=143 lb and a standard…

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Q: What is the z-score of x = 9, if it is 0.133 standard deviations to the left of the mean?

A: Given X=9,

Q: A sample of  n= 5  scores has a mean of 12 . If one new score with a value of  x=18 is added to the…

A: Given information- Sample size, n = 5 Sample mean = 12 Since we know that-

Q: A normal distribution has a mean of µ = 200 with σ = 20. If a vertical line is drawn through the…

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Q: A sample of 2000 observations has a mean of 74 and a standard deviation of 12. Using Chebyshev’s…

A: Given information: x¯=74s=12n=2000 According to Chebyshev's theorem at least 1-1k2of the data lies…

Q: Suppose X ~ N(8, 9). What value of x is 0.67 standard deviations to the left of the mean?

A: From the provided information, Mean (µ) = 8 Standard deviation (σ) = 9 X~N (8, 9)

Q: For a group of 100 candidates the mean and standard deviation of their marks were found to be 60 and…

A: 1] n=100 2] X¯=603] Standrd deviation σ=154] σ2=225

Q: The population mean will always be the same as the mean of all possible X that can be computed from…

A: sample mean converges to population mean only when the sample size is large .

Q: A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard…

A: Given, Mean weight of cantaloupes is 700 gm. Standard deviation is 53 gm

Q: Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and…

A: Given problem Given that   Database A contains 40 data items and is made up with an equal number…

Q: For any set of data, the sum of the deviation scores will always be Equal to zero O Cannot be…

A: The sum of the deviations from the mean is zero. This will always be the case as it is a property of…

Q: Brooklyn earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She…

A: Here we are to assume that scores on each exam are normally distributed.   For exam A, Brooklyn…

Q: Suppose you are working with a data set that is normally distributed with a mean of 400 and a…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: A sample of n = 5 scores has a mean of M = 12. If one person with a score of X = 8 is added to the…

A: Given n = 5 mean = 12

Q: Given a set of data that is skewed-right, there is at least _____ % of the data within 2 standard…

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Q: The Central Limit Theorem says that the standard deviation of the sampling distribution of the…

A: we have to choose the correct оption.The central limit theorem says that the mean of the sampling…

Q: Suppose you have the population 50 and 80 and that their corresponding z-scores are -1 and -2,…

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Q: Suppose the mean value for Rh is 1,106, the mean value for X,R, is 2,200, the standard deviation for…

A: Given, Rh ~ Normal(μ = 1106, σ2 = 427.12) When Rh ~ Normal(μ, σ2), then log Rh ~ Normal(log(μ),…

Q: Suppose that the weights of people who work in an office building are normally distributed with a…

A: From the provided information, Mean (µ) = 165 lb Standard deviation (σ) = 25 lb X~N (165, 25)

Q: The population mean will always be the same as the mean of all possible X that can be computed from…

A: Solution Ans is True

Q: Suppose the scores of students on an exam are normally distributed with a mean of 444 and a standard…

A: We have to find limits that include 68% data.

Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 70 and…

A: Solve