Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2 respectively.  Is it possible to determine the population's mean and standard deviation? If so what are these values? if not, explain why it is impossible

Q: If the average American male is 5'10" and the standard deviation is 3", then LaBron James who is…

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Q: People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have…

A: Given,   People with z-scores above 2.5 on an IQ test are sometimes classified as geniuses. If IQ…

Q: A population has a mean of μ= 30 and a standard deviation of σ = 5.  If 5 points were added to every…

A: The value of population mean is μ=30. If 5 points were added to every score in the population, then…

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

A: Given : Suppose population values 50 and 80 and their corresponding Z scores are -1 and 2 ,…

Q: Suppose IQ scores are approximately normally distributed with a mean  of 100 and a standard…

A: Given, Mean =μ=100SD = σ=15

Q: A population data set has a mean of 81 and a standard deviation of 5.2. Find the z-scores for each…

A: Population mean, μ=81 population standard deviation, σ=5.2 The formula of z-score is, z=x-μσ…

Q: If your score on your next statistics test is converted to a z​ score, which of these z scores would…

A: We have to find that which z score prefer for next statistics test....

Q: If a set of data has a mean of 12 and a standard deviation of 3, what is the z-score for a value of…

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Q: A score that is 9 points above the mean corresponds to a z score of +1. What is the population…

A: As given: A score is 9 points above the mean.  It corresponds to a z score of +1.  It is required…

Q: Suppose that the sample dataset of July 1 temperatures consisted of 64 observations and that these…

A: given data standard deviation s = 4 sample size n = 64

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

A: Given dataMean = 116Standard deviation = 14Probability that population would be between 88 and 102…

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: A population has a mean of 75 and a standard deviation of 15. You randomly sample nine people from…

A: Given information Mean (µ) = 75 Standard deviation (σ) = 15 Sample size = 9 Sample mean = 80 z score…

Q: In a certain distribution of​ numbers, the mean is 80 with a standard deviation of 3. At least what…

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Q: A z-score of −1 tells us that a score fell one standard deviation below the mean in a group of…

A: Empirical rule: For a normal distribution, the approximate values that fall in the specified…

Q: It is possible to determine the population’s mean and standard deviation? If so, what are these…

A: Here given population values 50 and 80

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: A score that is 6 points below the mean corresponds to a z-score of z = -2.00. What is the…

A: Given: z-score = -2.00 Formula: Where,

Q: Suppose you know that the distribution of sample proportions of nonresidents in samples of 200…

A: Let p^ denotes the sample proportion which follows normal distribution with mean 0.46 and standard…

Q: suppose you have the population values 50 and 80 and their corresponding z-scores are -1 and 2, mean…

A: Let, X1=50, X2=80 and Z1=-1, Z2=2

Q: For a sample of raw scores, you calculate a mean of 15.25 and a standard deviation of 3.19. What is…

A: Introduction:Suppose a random variable, X has sample mean, x̅ and sample standard deviation, s.For a…

Q: If an entire population with μ = 60 and s = 8 is transformed into z-scores, then the distribution of…

A: Given X~N(μ,σ) population mean μ=60 population standard deviation σ=8 The formula for a…

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 score that is 6 points below the mean corresponds to a z-score of z = -1.50. What is the…

A: We have to find population standard deviation from given information. We need to use z score…

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A: The formula of the standard error of the mean is,

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Given Information: If a distribution of test scores is normal, with a mean of 78 and a standard…

Q: given a population of 5000 scores with mean is 86 and the standard deviation is 10, how many scores…

A: To solve this problem, we have to assume that the population is normally distributed. Let X denotes…

Q: Suppose the mathematics SAT scores are normally distributed with a mean of 500 and a standard…

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Q: Suppose that the variance of a hypothetical population is 49. What is the standard deviation?

A: Solution : Given : σ2 = 49 The variance of the population is denoted by σ2 and standard deviation is…

Q: If a researcher devises a test of emotional intelligence with a mean of 50 and a standard deviation…

A: We want to find the probability  P(40<X<50)

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

A: Given : Suppose the population values 50 and 80 and that their corresponding z scores are -1 and 2…

Q: A population has µ = 50 and o - 5. If 10 points are added to every score in the population, what are…

A:

Q: Here is a POPULATION of scores: 4 2 3 2 30. What is the standard deviation for this population of…

A:

Q: The sum of deviation scores in any distribution (population or sample) is always equal to 0.…

A: Let us take an example.   Let X be random variable    we know that Meanx¯=∑xn Therefore, ∑x=nx¯

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

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Q: If X is a normally distributed random variable with a mean of 235 Find the standard deviation given…

A:

Q: Is is unusual for someone to run a 4 minute mile if the mean time is 10.2 minutes and the standard…

A: From the provided information, Mean (µ) = 10.2 Standard deviation (σ) = 2.9 X~N (10.2, 2.9)

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

A:

Q: - If a population with µ =72 and o = 8, the distribution of z-scores will have a mean and standard…

A: Given: Mean = µ = 72 Standard deviation = σ = 8

Q: Suppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The…

A: Given information- For SAT scores- Population Mean µ = 1100 Standard deviation (σ) = 250 For ACT…

Q: A given distribution has a population mean, μ, of 136 and a population standard deviation, σ, of 12.…

A: Given, Mean(μ) = 136 standard deviation ( σ) = 12 raw score (x) = 147

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 65…

A: Given information- Mean, μ = 65 Standard deviation, σ = 4 a) The percentage of scores that were…

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

A: It is given that the z-scores are -1 and -2 for x=50 and x=80 respectively so it follows:…

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

A: Given information- Population mean, μ = 116 Population standard deviation, σ = 14 So, the percent of…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 70…

A: Let , X denotes  scores on a statewide standardized test .  Therefore , X - > N (mean = 70 , sd =…

Q: For a population with a mean of ? = 80 and a standard deviation of ? = 12, a score of X = 77…

A: Given : population mean = 80 standard deviation = 12 score of X = 77

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

A:

Q: For a sample, a score that is 12 points above the mean has a z-score of z = 1.20. What is the sample…

A: We have to find sample standard deviation

Q: Suppose scores on an IQ test are normally distributed, with a population mean of 100. Suppose 20…

A:

Q: A population has μ = 50 and σ = 5. If 10 points are added to every score in the population, what are…

A: Consider, (µ) = 50 and (σ) = 5 Let, X be the scores of the population. If 10 points are added to…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.