For a distribution in which X = 100, SX = 16, and N = 500: (a) What is the relative frequency of scores between 76 and the mean? (b) How many participants are expected to score between 76 and the mean? (c) What is the percentile of someone scoring 76? (d) How many subjects are expected to score above 76?

Q: The population of IQ scores forms a normal distribution with a mean of μ= 100 and a standard…

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Q: what will be the value of X at the z score =-3 given, mean=10 and standard deviation =2?

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 sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.…

A: For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50.

Q: A given distribution has a population mean, μ, of 121 and a population standard deviation, σ, of 7.…

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Q: What z-score would be associated with the value x = 143?

A: Given that Mean = 137 SD = 15 And the value X = 143

Q: For a sample with M= 80, a score of X= 88 corresponds to z =2. what is the sample standard deviation…

A:

Q: Express the k th percentile, Pk , of a normally distributed variable in terms of its mean, μ, and…

A: The kth percentile represents the area of k to the left of z. Here, the kth percentile is calculated…

Q: In a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average…

A: The mean is 25.7 and the standard deviation is 3.3.

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 score that is 12 points below the mean corresponds to a z-score of z =-1.50. What is the standard…

A:

Q: 24. For a sample with a mean of M = 51, a score of X = 59 corresponds to z = .00. What is the sample…

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

Q: A score that is 12 points below the mean corresponds to a z-score of z= -1.50. What is the standard…

A: Given that, A score that is 12 points below the mean corresponds to a z-score of z= -1.50.

Q: In a sample distribution, X=56 corresponds to z=1.00, and X=47 corresponds to z=-0.50. Find the mean…

A: Given,  X=56 corresponds to z=1.00 X=47 corresponds to z=-0.50 wktz=x-μσX=zσ +μ

Q: For a sample with mean M=80,  a score of X=88 corresponds to z=2. What is the standard deviation?

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Q: A given distribution has a population mean, μ, of 113 and a population standard deviation, σ, of 6.…

A: A given distribution has; a population mean(μ)=113 and a population standard deviation(σ)=6 find…

Q: A given distribution has a population mean, μ, of 125 and a population standard deviation, σ, of 14.…

A:

Q: 1) For a normal population with mean = 100 and population standard deviation = 20: a. What is…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

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: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: Consider the provided question, For a normal distribution where the mean is 50 and the standard…

Q: For a t distribution with 15 degrees of freedom, 90% of the distribution is within how many standard…

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Q: A given distribution has a population mean, μ, of 133 and a population standard deviation, σ, of 15.…

A: A given distribution has a population mean, μ, of 133 and a population standard deviation, σ, of 15.

Q: Suppose that 35% of all adults in a population would say “good” and 65% would say “bad” if they were…

A: It is given that a sample of 1,000 adults from a population is randomly selected and the population…

Q: . The distribution of marks in a certain exami- nation was found to be normal with 23% of the…

A:

Q: A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20. On average, how…

A: Given information- Population mean, µ = 80 Population standard deviation, σ = 20 Sample size, n =…

Q: For any distribution, what is the z-score corresponding to the mean?​

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: In a Science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: Given: The mean score of a Science test is μ=42. The standard deviation is σ=5. Let X be a random…

Q: A sample of n = 5 scores has Σ X = 20 and Σ X2 = 180. For this sample, what is the value of the…

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Q: The test scores for a very large statistics class have a bell-shaped distribution with a mean of 72…

A: We have given that  X~N(mu, sigma^2) mu = 72  Z-score =(x-mu )/sigma

Q: A given distribution has a population mean, μ, of 101 and a population standard deviation, σ, of 15.…

A: Z-score for any Raw score X is given by, Z Score=(X-mu)/sigma Where mu is mean and sigma is standard…

Q: Hello, how do you calculate this? Thank You!

A: Compute the 90% confidence interval for the population mean.Since the sample size is small and the…

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A:

Q: A given distribution has a population mean, μ, of 147 and a population standard deviation, σ, of 7.…

A:

Q: For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard…

A:

Q: For any distribution, what is the z-score corresponding to the mean?

A:

Q: For a population with mean 80 and standard deviation 10, what is the X value corresponding to z =…

A:

Q: 1. What is the 90th percentile of a t-distribution when the sample size is 1?

A: According to our policy we can answer only first part for remaining please repost the question.

Q: For a sample of n = 20 scores, X = 25 corresponds to z = -1.20 and X = 40 corresponds to z = +1.80.…

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Q: Two samples, each with n = 16 scores, produce an estimated standard error of 4 points and a t…

A: According to the provided information, n=16 SE = 4  t = 2

Q: n a normal distribution, what percent of scores lie between the mean and a z-score of +1.00?.

A: Let, X be a random variable which follows Normal distribution. So,  Mean(μ) = 0 Standard…

Q: 1. For a normal distribution, find the percent of scores that lie between the scores having z values…

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Q: In a population with m=60, a score of X=58 corresponds to a z-score of z=-0.50. What is the…

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Q: Consider a normal distribution curve where 70-th percentile is at 11 and the 30-th percentile is at…

A: Given 70-th percentile is at 11, then…

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

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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 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: For a random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample…

A: Given data:   The given sample size is n=10. The given mean head circumference is x=57.3 cm. The…

Q: A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20. On average, how…

A: From the provided information, it is known that

Q: Among third year students at AUM, scores in Probability and Statistics follow a normal distribution…

A: Given: Population mean  = 82 Population standard deviation = 4 Consider X be the random variable…

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.