Given a normal distribution with μ=103 and σ=15, and given you select a sample of n=9, There is a 68% chance that X is above what value?
Q: You collect a random sample of 100 students and find that their average GPA is 3.2, with variance =…
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Q: population of values has a normal distribution with μ=198.2μ=198.2 and σ=35.4σ=35.4. You intend to…
A: Let the random X follows normal distribution with μ=198.2 and σ=35.4 The random sample size is, n =…
Q: For a population with µ = 60 and σ = 20, the Sampling distribution of the Mean, based on n = 16 will…
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Q: If the population standard deviation of a normal distribution is 2.8, then find the standard…
A: Answer: From the given data, Population standard deviation = 2.8 number of observations = 68
Q: Suppose you have 67 samples with sample standard deviation 2.5. A 99% confidence interval for the…
A: The sample size n is 67.
Q: For a normal population with µ = 100 and σ = 9, what is the probability of obtaining a sample mean…
A: According to the given information, we have Mean = 100 Standard deviation = 9 Sample size = 25
Q: If a variable is normally distributed with a mean of 30 and a standard deviation of 6, approximately…
A: given data normal distribution μ= 30σ= 6 empirical rule: 68-95-99.7% data fall within 1σ-2σ-3σ…
Q: Suppose random variable X follows a normal distribution with mean 10. If 16% of observations from…
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Q: A random sample of n = 16 scores is selected from a normal distribution with µ = 500 and σ = 200.…
A: The possible sample would be p(402 < M< 598) = 0.95Explanation:Step 1: Step 2: Step 3: Step 4:
Q: The symbol σ¯xσx¯ represents the population standard deviation of all possible sample means from…
A: The given statement is FALSE. Because, the symbol σx-bar represents the standard deviation of the…
Q: Find a 95% confidence interval for a mean, µ, where n = 324, x̄ = 2.7, s = .91, and se = .06.
A: Given: n = 324, x̄ = 2.7, s = .91, se = .06.
Q: Given a normal distribution with u=50 and 0= 4 what is the probability that x < 42
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Q: Suppose we have a normal distribution with µ = 10
A: Let X be a random variable which follows a normal distribution with mean μ and standard deviation…
Q: A group of students decide to participate in a national strength test. Assume a normal distribution…
A: Given mean number of students participated in national strength test = 580Standard deviation =…
Q: A normal distribution has a mean of u = 87 with o = 6. If one score is randomly selected from this…
A: Given: Random variable x from normal distribution with mean mu=87 amd standard deviations=6 Then…
Q: A sample of 2500 scores was drawn from a normal distribution with µ = 200 and σ = 20. What was the…
A: Sample size, n=2500 Population mean, μ=200 Population standard deviation, σ=20
Q: Which is true of the distribution of the sample mean?
A: Here given sample of size 20 is taken from a population with a normal distribution and unknown…
Q: A population of values has a normal distribution with μ=248.6�=248.6 and σ=97.6�=97.6. You intend to…
A: μ=248.6σ=97.6n=246
Q: Chapters: Normal and Exponential random variables. Q: The cross-secitonal area of plastic tubing…
A: From given information we find probability and expected number.
Q: A normal distribution has a mean of u = 50 with o = 6. If one score is randomly selected from this…
A: Given : A normal distribution has a mean of u = 50 with σ = 6. If one score is randomly selected…
Q: A population of values has a normal distribution with u = 123.3 and o = random sample of size n =…
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Q: For a normal population with mean = 100 and population standard deviation = 20: A. What is the…
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Q: A population of values has a normal distribution with H = 36 and o = 31.3. You intend to draw a…
A: Introduction: Define X as the random variable of interest. It is given that X has a normal…
Q: A population of values has a normal distribution with μ=154.9 and σ=69.8. You intend to draw a…
A: From the provided information, Mean (µ) = 154.9 Standard deviation (σ) = 69.8 Sample size (n) = 196
Q: A normal distribution has a mean of µ = 24 with σ = 3. What is the minimum score needed to be in the…
A: given data normal distribution μ = 24σ = 3 to be in top 14% minimum required score = ?
Q: For a population with a standard deviation of σ = 5, what is the z-score corresponding to a score…
A: We have to find z score..
Q: Suppose the proportion of one-child families in which the child is a boy is 0.488. For a random…
A: From the provided information, The proportion of one-child families in which the child is a boy is…
Q: A psychologist examined the effect of chronic alcohol abuse on memory. In this experiment, a typical…
A: We have to find corrcet option..
Q: A population of N = 6 scores has ΣX = 42. What is the population mean?
A: Given ,Population of N=6 scoresand Σx =42
Q: Given a normal distribution with μ=101 and σ=25, and given you select a sample of n=25, What is…
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Q: A population of values has a normal distribution with μ=86.1μ=86.1 and σ=46.3σ=46.3. You intend to…
A: 88th implies area of 0.88 to the left of the normal curve. Refer Standard normal table/Z-table,…
Q: here is a 61% chance that x̄ is above what value?
A: Let , X→N(μ=101 , σ=25) , n=25 By using central limit theorem , The sampling distribution of the…
Q: A population of values has a normal distribution with u = 244.3 and o = 12.9. You intend to draw a…
A: Use excel formula "=NORM.S.DIST(0.109, TRUE)" to find the probability.
Q: In a normal distribution of test scores, a score of X = 70 has a percentile rank of 54%. This means…
A: The pth percentile of a set of observations is the value below which, p% or (p/100) proportion of…
Q: Given a normal distribution with μ=50 and σ=4, and given you select a sample of n=100, There…
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Q: Consider a sample size of 15 from a normal distribution. Find a value of t such that only 1% of all…
A: The sample size (n) is 15.
Q: A population of values has a normal distribution withu = 147.7 and o = 14.9. You intend to draw a…
A: Obtain the value separating the bottom 41% values from the top 59% values. The value separating…
Q: opulation with mean = 100 and population standard deviation = 20: a. What is the proportion of x…
A: a. Given: μ=100, σ=20, n=10 The corresponding z-value needed to be computed: The proportion of x…
Q: If random samples, each with n = 16 scores, are selected from a normal population with µ = 100 and σ…
A: Here, the known values are n = 16 scores, µ = 100 and σ = 20.
Q: A population has a mean μ=79and a standard deviation σ=14. Find the mean and standard deviation of a…
A: We have to find sampling distribution
Q: A population of 1143 has a mean of 10.0 and a standard deviation of 1.5. If we draw a simple random…
A: A population of 1143 has a mean of 10.0 and a standard deviation of 1.5 μ = 10σ = 1.5
Q: Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)?
A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…
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- A population of values has a normal distribution with μ=248.6�=248.6 and σ=97.6�=97.6. You intend to draw a random sample of size n=246�=246.Find P29, which is the mean separating the bottom 29% means from the top 71% means.P29 (for sample means) =A population of values has a normal distribution with u = 36 and o = 31.3. You intend to draw a random sample of size n = 12. Please answer the following questions, and show your answers to 1 decimal place. Find the value separating the bottom 11% values from the top 89% values. Find the sample mean separating the bottom 11% sample means from the top 89% sample means.A population of values has a normal distribution with μ=89.6 and σ=35.2. You intend to draw a random sample of size n=32.Find P95, which is the mean separating the bottom 95% means from the top 5% means.The mean =
- Given a normally distributed data set whose mean is 25 standard deviation is 5, what values of x would a z-score of 1.2 have?In a certain normal distribution, the mean is 50. If an observation of 30 is randomly selected, the z-score for this observation will be O Positive O Not enough information to tell O 50 O NegativeYou are given that X follows a Weibull distribution where alpha = 2.3 beta = 17.4 What is the value of the the 60th percentile of this distribution?
- a normal distribution has a mean of u=60 with o=15. if one score is randomly selected from the distribution, what is the probability that the score will be greater than x=35If the z-value for a given x of a random variable Z is z =1.06, and the distribution of X is normal with a mean of 60 and a standard deviation of 6, to what x-value does this z-value correspond?Suppose n =42 and p =0.34 Can we approximate p by a normal distribution? Np= Nq=
- A population of values has a normal distribution with mean of 180.7 and standard deviation of 70.8. You intend to draw a random sample size of 16. What is the standard deviation of the distribution of sample means?Given a normal distribution with μ=45 and σ=5, What is the probability that X>37? P(X>37)=The random variables X is the best described by a normal distribution with = 30 and a = 6. Find the z-score that corresponds to the following X values.:1. X = 212 X = 26.5
