Suppose that for a certain population of college students, the mean GPA is 2.84 with a sta deviation of 0.45. (a)What fraction of students have GPAS between 2.20 and 3.50? (b)lf X denotes the GPA of one randomly chosen student. Determine a constant c

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A: The mean is 0 and the standard deviation is 1.

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

A:

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A: Sample size (n) = 25 Mean (x̅) = 69.72 inches Standard deviation (s) = 4.15 inches

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A: Solution: Let X be the random variable with mean µ and standard deviation is σ. Then, the Z-score…

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A: Where,

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A: Given that mean, M= 51 Score, X= 59  And z Score= 2  We've to find sample standard deviation. We…

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A: We have to find mean and sd.

Q: Suppose the mean and standard deviation of the GPAs at Loyola are  Xbar = 2.951; and s = 0.573…

A: Given, X_bar = 2.951 s = 0.573 z_score = -0.720

Q: On an exam with a mean of M = 98, you obtain a score of  X= 90. Would you prefer a standard…

A: It is not known whether the distribution of the score is symmetric or not. Hence ,we cant use…

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A: The population standard deviation is obtained below: From the given information, the value of mean…

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A: Given mean is 0 and standard deviation is 1. Given that that P(z<e)=0.4657

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A: Concept: A z-score is known as the standard score that determines how much the data point deviates…

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A:

Q: For a sample with a standard deviation S= 12, a score of X = 44 corresponds to a z = -1.00. What is…

A: The z-score of a random variable x is defined as follows: z = (x – x̅)/s. Here, x̅ and s are the…

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A: we have to find z score

Q: The heights(in inches) of males in the U.S. are believed to be normally distributed with mean. The…

A: Given: Standard deviation (s) = 4.15 Sample size (n) = 25

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(0…

A: The z-scores are normally distributed with mean 0 and standard deviation 1 Given , P( 0 < z <…

Q: Suppose a population is known to be normally distributed with à méáñ, µ, équal tó 144 and a standard…

A: Given that  A population is normally distributed Mean (μ) = 144 Standard deviation (σ)= 27   We know…

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A: Farmula used

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: 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…

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A:

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A:

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,…

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A: It is given that sigma is 12 and score, x is 44. Assuming that the z-score is –0.550. (Since it is…

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

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Q: For a population with a standard deviation of s = 14, a score of X 5=24 corresponds to z = -0.50.…

A:

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: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

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A:

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: A population of scores has a mean of μ X = 56. Within this population, a value of X = 68 corresponds…

A: Given: Population mean, μX=56 Observed Value, x = 68 Standardized Normal Value, z = 2.00

Q: Assume that z scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(z…

A: The normal distribution is the most useful theoretical distribution for continuous variable. For the…

Q: In a population with a mean of μ = 50 and a standard deviation of σ = 10, would a score of X = 58 be…

A: Given in a population with a mean of μ=50, and a standard deviation of σ=10, a score of X=58

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A:

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 & z=-1.00 For X=34 & z=-0.50

Q: For a population with mean of 50 and standard deviation of 8, what is the z-score that corresponds…

A: Given that , mean = μ = 50 standard deviation = σ = 8 x = 46

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Q: An engineer claims the population mean of a certain batch process is 400 grams. To check his claim…

A: Given info: An engineer claims the population mean of a certain batch process is 400 grams. To check…

Q: For a population with mean of μ X = 30 and standard deviation of σ X = 4 , the z-score corresponding…

A: Solution: From the given information, µX=30 and σX=4.

Q: For a sample with a standard deviation of s = 8, a score of X = 42 corresponds to  z = –0.25 what is…

A:

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

A:

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<X<μ+σ)=68%2) P(μ-2σ<X<μ+2σ)=95%3) P(μ-3σ<X<μ+3σ)=99.7%

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Q: Here * denotes the lost values. If it was known that the mean of the marks was 56 and the standard…

A: The combined mean is given by

Q: Find P(11<X<15) If X is normally distributed with a mean of 14 and a standard deviation of 2?

A:

Q: From previous experience it is known that the percentage yield of a chemical process is normally…

A: Here use basic of confidence interval