Given population parameters for two populations, population 1 has a mean of 800 and a standard deviation equal to 40. Population 2 has a mean of 21,000 and a standard deviation equal to 4,000.

Q: . A population has a mean of  80 and a standard deviation of  20. a. Would a score of X 70 be…

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Q: The reading speed of second grade students in a large city is approximately​ normal, with a mean of…

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Q: Given a dataset: {x1, X2, Xn}, .... a) write down the formula for the standard deviation (T ). (b)…

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Q: Given a sample with a mean of 57 and a standard deviation of 14, find x such that Pr(X > x) = 0.813

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Q: In a population of scores, X = 83 corresponds to z = 0.50 and X = 93 corresponds to z = +2.00. What…

A: We have to find mean and sd.

Q: A population has a mean of μ=50 and a standard deviation of sigma=10. a. If 3 points were added to…

A: Given: Population mean (µ) = 50 Population standard deviation (σ) = 10

Q: If there is a small amount of variation, then the standard deviation is what

A: Standard deviation: It is defined as the positive square root of the variance. It fulfils requisites…

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: A class has an average height of 68 inches and a standard deviation of 2 inches. Find each value,…

A: For the given data Mean μ = 68 inchesStandard deviation σ = 2 inches

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 population of scores is normally distributed with a standard deviation equal to 7. State whether…

A: If the standard deviation increases then the standard error will increase and if the standard…

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: The residents of two towns both have a mean income of $30,000. Town A has a standard deviation of…

A: Mean income for town A and town B is $30,000. Standard deviation of Town A = $2600. Standard…

Q: If X is normally distributed around a mean of 24 with a standard deviation of 20, find P(X > 35) P(…

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Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: Given a population distributed normally  with a mean of 81 and a standard deviation of 20, find x…

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Q: If the standard deviation of a data is 14.50 and if each value of the data is decreased by 5, then…

A: Given : Old standard deviation = 14.50

Q: Write down the formulas for the standard deviation of x.

A: The formula for the sample standard deviation can be written as: Here, n is the sample size and x̅…

Q: A set of data is found to have a sample standard deviation of 25. Suppose 9 were added to each of…

A: Given: s=25 9 is added to each of the values.

Q: The average temperature in a town in January is 22.1 oF and the standard deviation is 7.5 pF. What…

A: we have to find average temperature  in Celsius  from given data. given data : mean = 22.1.of…

Q: What type of question is this what formula is used?   Given a sample with a mean of 151 and a…

A: Given,   Mean = 151 Standard deviation = 27

Q: A given distribution has a population mean, μ, of 134 and a population standard deviation, σ, of 11.…

A: According to the provided information, we have Raw score, X = 91 μ, Population mean = 134 σ,…

Q: In a population with a μ = 8, a score of X = 3 corresponds to z = –2.5. What is the standard…

A: Mean = 8 Raw score , X = 3 Z score = - 2.50

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X <…

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Q: If the mean I.Q. is 100 and the standard deviation of I.Q. scores is 15, then an I.Q. of 130 will…

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Q: A value of 104.2 would be how many standard deviations above the mean, given a mean of 100, and a…

A: Solution: From the given information, µ=100 and a standard deviation σ=5.6.

Q: For a set of data, μ = 71, X=35, z = -0.60. What is the standard deviation of the population?

A: Given that.   X~N( μ , ?^2 )   μ=71   , ?=?  , X=35 , z=-0.60   Z-score =( x - μ )/?

Q: For a population with a mean of μ = 100 and a standard deviation of σ = 20, Find the score (X…

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Q: In a population distribution, a score of X= 57 corresponds to z= -0.25 and a score of X= 87…

A: From the given information, The distance between 57 and 87 is 30 units. (=87–57) The distance…

Q: For a population with population mean 80 and standard deviation10, what is the z-score corresponding…

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Q: A population is normally distributed with a mean of 20.  What is the population standard deviation…

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Q: with a mean of 50 and a standard deviation of 10 P(x<54)

A: Given that  Mean = M = 50 Standard deviation = SD = 10

Q: A data set has a mean of 212 and a standard deviation of 40. Find the z-Score for each of the…

A: It is given for a dataset, Mean, μ=212 Standard deviation,σ=40  z-score of a observed value x is…

Q: For a population with a standard deviation of σ = 14, a score of X — 24 corresponds to z — 0.50.…

A: Given that, The population standard deviation (σ ) is 14 The score of X is, 24 The z-score is,…

Q: If the standard deviation of a data set was originally 5, and if each value in the data set was…

A: Given that  The Standard deviation is 5

Q: In a population distribution, a score of X = 28 corresponds to z = −1.00 and a score of X = 34…

A: Where, For X=28 &amp; z=-1.00 For X=34 &amp; z=-0.50

Q: Q scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the…

A: Given: μ=100, σ=15 The corresponding z-value needed to be computed is: The probability that people…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5 find P(X >…

A: GivenMean(μ)=35standard deviation(σ)=7.5

Q: If the population average height is 67" and you take a random sample of 25 people resulting in a…

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

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Q: For a population with a mean of μ = 70, a score of X = 64 corresponds to z = −1.50. What is the…

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Q: In a population that is normally distributed with a mean X and standard deviation Y, determine the…

A: Empirical rules :1) P(μ-σ&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: The mean life of a tire is 30,000 km. The standard deviation is 2000 km. Then, 95% of all tires will…

A: We have to find raw scores for given data.

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: In a sample distribution, a score of x = 21 corresponds to z = -1.00 and a score of x = 12…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: For a population with a mean of μ = 100 and a standard deviation of σ = 20, a. Find the z-score for…

A: (a) Obtain the standard z-score for the random variable X equals 108. The standard z-score for the…

Q: The birth weights for twins are normally distributed with a mean of 2353 grams and a standard…

A: Given  μ=2353σ=647z=x-μσ

Q: Given that the mean μ=20 and the standard deviation σ=4, find P (x<25)

A: Given that. X~N( μ , ?2 ) μ = 20     , ? = 4 Z-score =( x - μ )/?

Q: Given that the mean and standard deviation are $24 and $3. Calculate the variance.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.