A population of values has a normal distribution with mean of 28.7 and standard deviation of 12.7. Find the probability that from a sample of 165 the sample mean is greater than 28.2. Enter your answers as numbers accurate to 4 decimal places.

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

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Q: A distribution of values is normal with a mean of 205.3 and a standard deviation of 65. Find P93,…

A: It is given that the values follow normal distribution with mean 205.3 and standard deviation 65.

Q: A group of data has a mean of 69 with a standard deviation of 5. What is the probability of finding…

A: Given the mean= 69 and standard deviation = 5 So, z score of 61 is:

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given,   Mean = 150 Standard deviation = 10

Q: . A population has a mean of  80 and a standard deviation of  20. a. Would a score of X 70 be…

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Q: The time it takes a person to complete the game Loop Hero follows a normal distribution with a mean…

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Q: f the height of Grade 6 pupils is normally distributed with a mean of 64 in. And a standard…

A: The z-score is calculated asz=x-μσ

Q: A distribution of values is normal with a mean of 123.2 and a standard deviation of 62 Find P35,…

A: Given: A distribution of values is normal with  μ=123.2 , σ=62

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Q: In a college entrance exam, the average score of 1,000 test takers is 150 with a standard deviation…

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Q: A normal distribution has a mean of 60 and a standard deviation of 16. Indicate whether the body is…

A: Using z-score table to calculating above. Z-score=(X-mean)/standard deviation

Q: A normal distribution has a mean of μ =64 and a standard deviation of σ = 8. What is the probability…

A: Obtain the standard z-score for the random variable M equals 72 The standard z-score for the random…

Q: The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15…

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Q: The mean is 15.2 and the standard deviation is 0.9. find the probability that X is greater than 17.

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Q: Find the probability that x is greater than 15.2 when the mean is μ = 15.2 and the standard…

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Q: X is a random variable of student score approximately normal with mean μ = 60 and a standard…

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Q: A large group of students took a test in Statistics and Probability and the final grades have a mean…

A: Given: μ=70 and σ=10. The z-score is calculated as-z=x-μσ

Q: A normal distribution has a mean of μ =64 and a standard deviation of σ = 8. What is the probability…

A:

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: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Let X be a continuous random variable is normally​ distributed with a mean of 150 and a standard…

Q: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: The mean is µ = 60.0 and the standard deviation is Η = 4.0.Find the probability that X is less than…

A: Given datamean (µ) = 60.0 standard deviation (σ) = 4Assuming X follows normal…

Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of…

A:

Q: A group of data has a mean of 65 with a standard deviation of 5. What z-score is possible if the…

A: According to the provided information,

Q: In the past Algebra classes, records show that the average score of the students in the mid-term…

A:

Q: The mean is μ=60.0 and the standard deviation is σ=4.0. Find the probability that X is less than…

A: From the provided information,

Q: It has been observed that a random variable follows a normal distribution with a mean of 80, and a…

A:

Q: A distribution of values is normal with a mean of 141.6 and a standard deviation of 44. Find P65,…

A: Given Information: Mean μ=141.6 Standard deviation σ=44 To find Percentile P65: Using a standard…

Q: A normal distribution has a mean of μ =72 and a standard deviation of σ = 8. What is the probability…

A: Given, μ=72σ=8n=36M=x=72

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

Q: Body temperatures of adults are normally distributed with a mean of 98.60℉ and a standard deviation…

A: Given information Mean (µ) = 98.6 F Standard deviation (σ) = 0.73 F   Probability of a healthy adult…

Q: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of…

A: The sample size is, n = 36 The values of mean and standard deviation of the sampling distribution…

Q: The daily low temperature in Woodland, in December is normally distributed with mean 39.6°F and a…

A: Introduction: For a normally distributed random variable, X with mean μ, and standard deviation σ,…

Q: On a test that has a normal distribution, a score of 60 falls one standard deviation above the mean,…

A: Given that the test score has Normally distributed.  A score of 60 falls one standard deviation…

Q: The mean is µ=15.2 and the standard deviation is σ=0.9. Find the probability that X is greater than…

A:

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 95% of…

A: GivenMean(μ)=600standard deviation(σ)=20

Q: A population is normally distributed with a mean of 20.  What is the population standard deviation…

A:

Q: A normal distribution has a mean of μ =72 and a standard deviation of σ = 8. What is the probability…

A: The formula for z-score for sample is, Z=M-μσn In the formula, M is the sample mean, μ is the…

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

A:

Q: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of…

A: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6. Sample size, n = 4

Q: The number of miles a motorcycle, X, will travel on one gallon of gasoline is modeled by a normal…

A: Consider X be a random variable which follows normal distribution indicates the number of miles a…

Q: The standard deviation of a normal random variable X is $50 . Given that P(X ≤ $40) = .25, what is…

A: Given data,σ=50x=40P(X ≤ $40) = .25μ=?

Q: If the probability of a defective bolt is 0.1, find he mean he standard deviation for the…

A: a) If the probability of a defective bolt is 0.1. Given that there are total of 400. That is, n=400…

Q: The mean is μ = 15.2 and the standard deviation is σ = 0.9 Find the probability that X is greater…

A:

Q: A population has a mean of 90 and a standard deviation of 10. A sample of 100 observations will be…

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Q: IQ scores are normally distributed with a mean of 110 and a standard deviation of 2.9. In a sample…

A: For the solution of the problem follow the next step.

Q: If a random member (x) is selected from a normal distribution having a mean of 80 and standard…

A: According to the provided information,

Q: The mean is μ = 15.2 and the standard deviation is σ = 0.9 find the probability that X is greater…

A: Given,Mean (μ) = 15.2Standard deviation (σ) = 0.9

Q: The standard deviation of the lifespan of a certain brand of LED light bulbs is 22 months. The…

A: Given Mean=144 Standard deviation=22 n=95

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.