A certain standardized test's math scores have a bell-shaped distribution with a mean of 520 and a standard deviation of 119. What percentage of standardized test scores is between 163 and 877?   I can't figure out how to solve this problem for my stats homework and how the standard deviation works.

Q: An education researcher has been studying test anxiety using a particular measure, which she…

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Q: Alice was told that her reading test score was 3 standard deviations below the mean. If test scores…

A: Z-score is the measure of how far the standard deviation is away from the mean (above/below). Above…

Q: The university campus has a record of temperatures in recent years, which have a mean of 25.5…

A: To test whether the data follows normal distribution or not, let us consider Chi-square test for…

Q: Raul received a score of 77 on a history test for which the class mean was 70 with a standard…

A: for history test:mean(μh)=70standard deviation(σh)=4and xh=77For biology test:mean(μb)=70standard…

Q: On a standardized examination, Laura received a score of 83, which was exactly 2 standard deviations…

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Q: Loretta, who turns  91  this year, has heard that the mean systolic blood pressure among the elderly…

A: State the hypotheses. That is, there is no evidence that the mean systolic blood pressure among…

Q: The scores of the students in the final examination in Advanced Algebra are normally distributed…

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Q: suppose that you scored 60 on a test that has a population mean of 64 and a standard deviation of 8.…

A: Given: Test Score x=60 μ=64σ=8 Transform in which  μ=50σ=10

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ)= 79,…

Q: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly…

A: The hypothesis for the claim 'mean systolic blood pressure among elderly adults is greater than 120…

Q: The results of a common standardized test used in psychology research is designed so that the…

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Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: Imagine the average score on an exam ends up being 71 with a standard deviation of 10. If scores are…

A: From the given information, let us define the random variable X as the scores of an exam follows…

Q: The results of a common standardized test used in psychology research is designed so that the…

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Q: Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15.…

A: GivenMean(μ)=100standard deviation(σ)=15

Q: A set of math test scores has a mean of 70 and a standard deviation of 8.  A set of English test…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: Suppose the exam average in a class is 82% with a standard deviation of 2. What proportion of…

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Q: The principal decided that the top 30% of the class with the highest grades in statistics will be…

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Q: What is the raw z-score?

A: Given information Population Mean = mu= 120 Standard deviation = s= 50 Raw score = x =65 Z score = ?

Q: Suppose the exam average in a class is 48% with a standard deviation of 15. What proportion of…

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Q: The vocabulary test scores for the population of third graders is normally distributed with a mean…

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Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Data; x¯=165σ=50x=145

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Let us define a random variable x denoting test score used in psychology research which has;…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Population mean = 140 Population standard deviation = 40 Score =X= 44

Q: Pattys final exams have an average of 78 and a standard deviation of 6.  If she wants 4% of her…

A: X follows a Normal distribution with mean = 78 and S.D = 6 Then z=(x-mean)/SD = (x-78)/6  follows…

Q: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly…

A: As per bartby gaidline excite have to ans fast three subpart part only dear student please upload…

Q: The vocabulary test scores for the population of third graders is normally distributed with a mean…

A: given mean μ=60 , standard deviation σ=12 now for the normal distribution z=x-μσ z=x-6012 to find…

Q: The results of a common standardized test used in psychology research is designed so that the…

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Q: The results of a common standardized test used in psychology research is designed so that the…

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Q: A consultant wants to estimate the average income of all the baby boomers in NYC. From prior…

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Q: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly…

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Q: Your friend, Jaye, who is also enrolled in a statistics class, just got their grade on the first…

A: 1. From the given information, X=67μ=73σ=8Therefore, required Z score will be given by as…

Q: What percent of the students received a score below 64, if the mean grade on a test was 70 and the…

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Q: Suppose that the score on a reading test are normally distributed within a mean of 70 and a standard…

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Q: If a number is added to a data set which is far away from the arithmetic mean the what happens to…

A: There are two properties regarding the addition of a number to a data set and its effect on standard…

Q: An incoming MBA student took placement exams in economics and mathematics. In​ economics, she scored…

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Q: A test was designed to have a mean of 80 and a standard deviation of 10. A random sample of 20…

A: Computation of test statistic value: The population standard deviation is given, σ = 10. Thus, in…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: From the provided information, Mean (µ) = 175 Standard deviation (σ) = 10 X~N (175, 10) Here X be a…

Q: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

Q: It is known that the mean is 65 and the standard deviation is 10. There are 30 students in the…

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Q: Loretta, who turns 91 this year, has heard that the mean systolic blood pressure among the elderly…

A: Given: μ = 115 x¯ = 133 s = 23 ∝ = 0.05 n = 10 The test hypothesis are, H0: μ = 115 H1: μ > 115.…

Q: The scores on a psychology exam were normally distributed with a mean of 64 and a standard deviation…

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Q: The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s…

A: The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s…

Q: If your score on your next statistics test is converted to a z-score, which of these 2- scores would…

A: Given: Z-scores: -2, -1, 0, 1, 2. The height converts to the z score is=4.07

Q: 2. On a standardized test, Sara had a score of 81, which was exactly 2 standard deviations below the…

A: Given : Test score = X = 81 Standard deviation = σ = 3

Q: In ABC High School, the mean IQ test score of the first year students is 102 and the standard…

A: For the given data  What is the z-score of a student whose IQ test score is 106?

Q: imagine the average score on an exam is 71 with a standard deviation of 10. If scores are normally…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…

Q: The results of a common standardized test used in psychology research is designed so that the…

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Q: The results of a common standardized test used in psychology research is designed so that the…

A: Formula for z-score is