(c) Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. (i) Find the probability that a randomly selected person has an IQ score between 87 and 116. Find the probability that a randomly selected person has an IQ score less (ii) than 118.

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

A:

Q: Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean 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…

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A: According to central limit theorem if the population is normal or the sample size is at least 30,…

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: A student finds that the average price of a movie ticket in Washington is $12.25 and that the…

A: From the provided information, Mean (µ) = $12.25 Standard deviation (σ) = $2 Let X be a random…

Q: In a recent​ year, the total scores for a certain standardized test were normally​ distributed, with…

A: Given that, Mean = 500 Standard deviation = 10.7

Q: Show that the standard deviation of z-scores equals 1

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A: Given data,μ=190σ=22P(X>160)=?

Q: The random variable X represents the average number of texts a teenager sends, where the…

A: Given, μ = 450σ = 150To find,P (X > 700) = ?

Q: In a population with a mean of µ = 30 and a standard deviation of σ = 5, a score of X = 18 would be…

A: Given that  μ=30 , σ=5 , X=18

Q: A sample of n = 5 scores has ΣX = 20 and ΣX2 = 180. For this sample, what is the value of the sample…

A: According to the provided information,   n = 5  ΣX = 20 ΣX2 = 180

Q: Assuming you obtained a random sample of blood glucose levels from 32 individuals from a population…

A: Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean µ…

Q: Suppose that the average price of potatoes was Tk. 40 per kg last month. A researcher wants to find…

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: For a random sample of 40 students, the average statistics midterm score is 73 points (out of a…

A: The sample size is 40, average statistics midterm score is 73 points, and standard deviation is 7.3.

Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

A: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

Q: The average credit card debt for public school teacher is 14,975. If the debt is normally…

A: Given, Average credit card debt for public school teacher=X=14975 Standard deviation= 5650…

Q: For a large metropolitan area, carbon monoxide concentrations in air samples come from a normal…

A: We have to find out answer of given question....

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

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Q: A score that is 9 points above the mean corresponds to a z-score of z = 1.50. What is the population…

A:

Q: A teacher finds that the test scores of a group of 40 students have a mean of 72 and standard…

A: (a) A teacher finds that the test scores of a group of 40 students have a mean of 72 and standard…

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: Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 60…

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Q: The psychomotor retardation scores of 1500 manic depressive patients were found to be normally…

A: From the provided information, Mean (µ) = 930 Standard deviation (σ) = 130 X~N (930, 130) Here X be…

Q: A score that is 20 points above the mean corresponds to a z-score of z – 1.25. What is the standard…

A: Given: z= 1.20 20 points above the mean. that is

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

A:

Q: A professor at a university gives her large class an examination and finds that the scores follow…

A:

Q: 3. The average consumption of rice that a rural male adult person in a year is 70 kilos. If 25 rural…

A: Ans# Here X ~ N( μ, σ)          Where  μ = 70   and σ = 112,       sample size n = 25         Find…

Q: A normal distribution has a mean of 54, and a sttandard deviation of 6. What is the probability of…

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Q: Assume that the test scores for a large class are normally distributed with a mean of 64 and a…

A: Solution-: Given: We find P(the class received a higher score than 78)=?

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

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Q: 32 individuals from a population and the mean of the population is 120 and the standard deviation of…

A: From the central limit theorem the sample mean blood glucose level will follow normal distribution…

Q: the golf scores for a school team were normally with a mean of 68 and a standard deviation of 3. Use…

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Q: Alex wants to find out: if the standard deviation of the mean for the sampling distribution of…

A: Solution: given standard deviations of sample s1=9. fir sample size n1=256  Then what will be the…

Q: (b) The blood pressure reading for people aged 80 years old that are having high blood pressure is…

A:

Q: Suppose the scores, x, on a college entrance examination are normally distributed with a mean of…

A: Solution: Let X be the score on a college entrance examination. From the given information, X…

Q: Suppose the scores, X, on a college entrance examination are normally distributed with a mean of…

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Q: 3. Suppose that the IQ scores of Grade 11 students of OSFI is normally distributed with a mean of…

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Q: Find the z-score for the value 80, when the mean is 70 and the standard deviation is 2.

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Q: An electrical company claims that the average life of the bulbs it manufactures is 1200 hours with…

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Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a…

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Q: What is the z-score of x=9, if it's 1.5 standard deviations to the left of the mean

A: We have to find z value from given data

Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 230 and…

Q: average GPA of 2.78 with a standard deviation of 0.45.

A: Given that  GPA is normally distributed . A sample of university students has an average GPA of 2.78…

Q: What is the z score of x = 9, if it is 1.5 standard deviations to the right of the mean?

A: Given X = 9 also  X = μ + 1.5 (σ) --1

Q: What percentage of the class has a test score between 68 and 82? Approximately how many students…

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

Q: Suppose that SAT scores among U.S. college students are normally distributed with a mean of 500 and…

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Q: Find the indicated probability. An insurance company has determined that the cost of a certain…

A: Given information Mean µ = $800 Standard deviation σ = $40