If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score less than X = 130 is p = 0.9987.​ True False

Q: A normal distribution has a mean of 60 with a standard deviation of 8. If one score is randomly…

A: Let A(x) be the probability that the value of a random variable X is less than or equal to x where X…

Q: A random variable X is normally distributed with a mean of 175 and a standard deviation of 25. Given…

A:

Q: A sample of size 15 will be drawn from a population with mean 125 and standard deviation 28. a.…

A: a) sample size = 15 < 30 And it is not mention about the distribution of sample. So, It is…

Q: In a normal distribution with a mean of 72 and a standard deviation of 12 what is the probability…

A: Given,mean(μ)=72standard deviation(σ)=12

Q: In a math test the scores of a class of students follow approximately the normal distribution with a…

A: Let X=the math test scores Given that X follows a normal distribution with mean=75 and standard…

Q: If one score is randomly selected from a normal distribution with µ = 90 and σ = 20, the probability…

A: We have given that  The score is randomly selected from a normal distribution with µ = 90 and σ =…

Q: Random samples of size 81 are taken from an infinite population whose mean is 66 and standard…

A:

Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

A: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

Q: The scores of students on the SAT college entrance examinations at a certain high school had a…

A: Note: Thank you for the question. Since, the sample size is not specified, we are calculating the…

Q: Suppose x has a normal distribution with a population standard deviation of 2.2. If a random sample…

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Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

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Q: An experiment needs a 1.41cm thick aluminum cylinder. Suppose that the thickness of a cylinder has a…

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Q: The diameter of a pipe is normally distributed, with a mean of 0.3 inch and a variance of 0.0016.…

A: Let us denote X=The diameter of a pipeGiven that X follows a normal distribution with mean=0.3 and…

Q: A random sample of size 24 from a normal distribution has standard deviation s=66. Test H0:σ=36…

A: Given Information: Sample size (n) = 24 Standard deviation (s) = 66 Significance level α=0.10   Null…

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

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Q: For a normal population with a mean of μ = 80, and a standard deviation of σ = 10, what is the…

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Q: suppose that z denotes to random variable with a standard normal distribution-two tailed, if the…

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Q: If x represents a random variable with mean 124 and standard deviation 30, then the standard…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first…

Q: The diameter of a pipe is normally distributed, with a mean of 0.8 inch and a variance of 0.0016.…

A:

Q: In a certain population, the length of the third metatarsal follows a normal distribution where μ=60…

A: Given: X~N60,100n=30μ0=85

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given information: X is a random variable follows normal distribution. That means,

Q: If the uric acid values in normal adult males are approximately normally distributed with a mean and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A random sample of n = 16 scores is obtained from a normal population with a mean of µ = 100 and a…

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Q: If a normal has a mean of 33.7 and a standard deviation of 10.5, what is the value of the random…

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Q: A normal distribution has µ = 20 and σ = 4. Which is the probability of randomly selecting a score…

A: Given that.   X~N( μ , ?^2 )   μ=20   , ?=4   Z-score =( x - μ )/?

Q: If X is normally distributed with mean 10 and standard deviation 2, what is the probability that X…

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Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

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Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

A: According to the given information, we have Mean = 62 Standard deviation = 15

Q: Random samples of size 64 are taken from an infinite population whose mean is 50 and standard…

A: Givensample size(n)=64mean(μ)=50standard deviation(σ)=16

Q: what is the probability that a randomly selected case falls between 60 and 68? And what is the value…

A: It is given that X follows N(mean = 72, SD = 12), then Z = (X - mean)/SD follows N(0,1)

Q: A normal population has mean 0.1 and standard deviation of 2.1. Find the probability of mean of…

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Q: If X is distributed as a normal distribution with a mean value of 10 and a variance equal to 3 and Y…

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Q: 1. The scores on a national achievement exam are normally distributed with a mean of 500 and a…

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Q: If the random variable X has a general normal distribution with a mean of 3 and a variance of 9.…

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Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

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Q: If x represents a random variable with mean 131 and standard deviation 40, then the standard…

A: Given that ; u = 131  ? = 40 Sample size ( n) = 100 Here we use the concept of standard normal…

Q: The diameter of a pipe is normally distributed, with a mean of 0.8 inch and a variance of 0.0025.…

A: GivenMean(μ)=0.8Variance(σ2)=0.0025standard deviation(σ)=0.05

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

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Q: Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100…

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Q: Suppose that the distribution for a random variable x is normal with mean 15 and standard deviation…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: suppose the random variable X has a normal distribution with a mean of 10 and a variance of 16…

A: Given: The random variable X is normally distributed. The population mean is given as:…

Q: Oranges chosen at random have a mean mass of 210 grams and standard deviation of 35 grams. Assuming…

A: Given: μ=210 and σ=35. The z-score is calculated asz=x-μσ

Q: If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the…

A:

Q: The diameter of a pipe is normally distributed, with a mean of 0.4 inch and a variance of 0.0025.…

A: Given,mean(μ)=0.4standard deviation(σ)=0.0025

Q: For a normal population with µ = 60 and σ = 50, the distribution of sample means based on n = 25…

A: Given that, Mean = 60 Standard deviation = 50 Sample size = 25

Q: A normal distribution has a mean of µ = 40 with σ = 8. If one score is randomly selected from this…

A: A normal distribution has a mean of µ = 40 with σ = 8.

Q: Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3.…

A: Let Y be the variable that follows normal distribution with mean, μ=30 and standard deviation, σ=3.…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.