Suppose x has a normal distribution with mean μ = 51 and standard deviation σ = 12. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx =  σx =

Q: A normal distribution has u = 30 and o = 5.

A: Given that, Mean = 30 Standard deviation = 5 Z score = 1.3

Q: For the normal distribution shown below, what area is contained between -2 and 1? -3 -2 -1 3 T2

A: Normal distribution is the most common continuous probability distribution. In a normal distribution…

Q: What is the z-score for an exam mark of 80

A: Given that μ = 71 and σ = 6 And we have to find the z score for an exam mark of 80.

Q: Suppose x has a normal distribution with mean μ = 36 and standard deviation σ = 8. Describe the…

A: Given data,  μ = 36   σ = 8

Q: Round your answers to two decimal places as needed. Mean: Variance: Standard Deviation: Range of…

A: Given that Class Frequency (f) Mid value (x) f⋅x f⋅x2 =(f⋅x)×(x) 0-20 620 10 6200 62000 20-40…

Q: A population forms a normal distribution with amine of 85 and a standard deviation of 24 compute the…

A: We have given that  X~N( μ , ?^2 ) μ= 85    ,   ?=24  , n= 9 , mean= xbar=91

Q: Suppose x has a normal distribution with mean u = 42 and standard deviation o = 13. Describe the…

A: Mean of the sampling distribution of the sample mean. Standard deviation of the sampling…

Q: A population has mean  =μ19  and standard deviation  =σ5 . Find  μx  and  σx  for samples of…

A:

Q: The score on a standardized test for a certain year is modeled using the normal distribution shown…

A: From the given information, it is clear that,  V=Mean μ=76.5, Standard deviation σ=5.2 According to…

Q: A population has a mean μ = 157 and a standard deviation o=20. Find the mean and standard deviation…

A: Following solution is provided below

Q: ez-score for x = 61 is . So 61 is standard deviations (Choose one) ▼ the mean μ = 56. X

A: It is given thatMean, μ = 56Standard deviation, σ = 20Z-Score, Z = ( X - μ )/σwhere, Z be the…

Q: suppose x has a normal distribution with mean= 18 and standard deviation =13. If you draw ramdom…

A: Given that mean=18 S.D=13 N=5

Q: If x is normally distributed variable with μ = 85 and sigma = 4, find the lower and upper x values…

A: From the provided information, Mean (µ) = 85 Standard deviation (σ) = 4 X~N (85, 4)

Q: The score on a standardized test for a certain year is modeled using the normal distribution shown…

A: It is given that the mean is 56.7 points and the standard deviation is 4.8 points.

Q: A population of values has a normal distribution with u = 173 and o = 55. You intend to draw a…

A: Consider that the variable of interest is x.

Q: A population has a mean of μ = 87 and a standard deviation  = 24 find the mean and standard…

A:

Q: Assume that x has a normal distribution with mean =4 and standard deviation q=2. Find (3<x<6)

A: Given   x has a normal distribution  mean μ=4  standard deviation σ=2 Find p(3&lt;x&lt;6)=?

Q: X is normally distributed with mean 4 and standard deviation 1. Y is independent and normally…

A: Given, X is normally distributed with μ1=4σ1=1 y is normally distributed with μ2=3σ2=3

Q: A population has a mean μ = 137 and a standard deviation o=20. Find the mean and standard deviation…

A: The question is about sampling distributionGiven :Mean of Population  ( ) = 137Standard deviation…

Q: Draw a graph of a normal distribution with mean μ = −4 and standard deviation σ = 2. What's the…

A: Given that  Mean = μ = −4 and standard deviation σ = 2.

Q: A population has a mean μ=79 and a standard deviation σ=18. Find the mean and standard deviation of…

A:

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

A:

Q: ← A population has a mean μ 156 and a standard deviation o=30. Find the mean and standard deviation…

A: simple formula of sample mean has used and solve.

Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 12. Random samples of…

A: The sample size is 64 which is sufficiently large (greater than 30) indicating that the sampling…

Q: If x has a normal distribution with mean u=15 and standard deviation o=3, describe the distributin…

A: Given information, μ=15σ=3 Given sample sizes, n=4, n=16, n=100. The sampling distribution for n=4:…

Q: Suppose x has a normal distribution with mean μ = 51 and standard deviation σ = 12. Describe the…

A: Mean of the sampling distribution of the sample mean.

Q: A variable of a population has a mean of μ=100 and a standard deviation of σ=27 The sampling…

A:

Q: The scores on a test in a particular class follow a Normal distribution with mean μ=140 and standard…

A: We have given that  Normal distribution with mean μ=140 and standard deviation σ=23 Find P(X&lt;181)

Q: In a Normal Distribution with the Mean of 88 and the Standard Deviation of 7, find P (x > 77)

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 standard normal distribution, find the percentage of data that are between 3 standard…

A: The graph with percentages is,

Q: A population forms a normal distribution with a mean of 85 and a standard deviation of 24 compute…

A: The mean is 85 and the standard deviation is 24.

Q: Suppose x has a normal distribution with mean μ = 51 and standard deviation σ = 12. Describe the…

A: According to the provided information, mean (μ) = 51 and standard deviation (σ) = 12. The mean of…

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find…

A: Solution:From the given information, mean value is 50, standard deviation value is 7. Let the random…

Q: Suppose x has a normal distribution with mean μ = 50 and standard deviation σ = 11. Describe the…

A: Let X follows normal distribution with mean μ = 50 and standard deviation σ = 11. For n = 4 The mean…

Q: A normal distribution has mean μ = 15 and standard deviation σ = 3. Find and interpret the z-score…

A: The mean of the normal distribution is The standard deviation of the normal distribution is The…

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.