A random variable X has a mean value of 20 with a standard deviation of 4.  If we obtain a random sample of 64 elements from the population on which X is defined, what is the probability that the sample average value of X for the 64 elements is at most 19.2

Q: Suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of…

A:

Q: A population has a mean of u = 65 and a standard deviation of o = 15. If you select a random sample…

A: From the provided information, Mean (µ) = 65 Standard deviation (σ) = 15 X~N (65, 15)

Q: Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3.…

A: As per guideline expert have to answer first three subpart only.

Q: For a population with μ = 80, and σ = 20, the distribution of sample means based on a sample size of…

A: The expected value for the mean of .

Q: Find a value X0 of the random variable X that satisfies the following probability. P(X > X0)=0.025

A: here mean = 46 standard deviation = 5

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

A: Given that: X is normal Distributed with mean µ = 15.0 and standard deviation σ = 3.0 By using…

Q: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard…

A: Given that the random variable of blood pressure readings is normally distributed with mean of 120…

Q: The distribution of all SAT scores is normally distributed with a mean of 1036 and a standard…

A:

Q: What is the probability that a randomly selected item will weigh between 6 and 10 kg? A. 0.9104 B.…

A: Answer:-  Here, option C is correct answer.

Q: If a soft drink machine is operating correctly, the amount of drink dispensed is a random variable…

A:

Q: A Normal population has mean μ = 10 and standard deviation σ = 3.  Suppose a random sample of size n…

A:

Q: 2. 500 ball bearings have a mean weight of 5.02g, and a standard deviation of 0.30g. find a…

A: The mean and standard deviation are 5.02g and 0.30g, respectively.

Q: 1. Assume that the readings at freezing on a batch of thermometers are normally distributed with a…

A:

Q: Given a random variable X that is distributed Normally with a mean of 94 and a standard deviation of…

A:

Q: The Rockwell hardness X of certain metal pins is known to have a mean of u = 50 and a standard…

A:

Q: The weights of the fish in a certain lake are normally distributed with a mean of 13lbs and standard…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: A normally distributed population has mean 57,800 and standard deviation 750.  a) The probability…

A: Given,mean(μ)=57,800standard deviation(σ)=750

Q: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean,…

A: Random Variable has a discrete uniform distribution on the integers 0 through 9.So, Mean :…

Q: If X is a normal random variable with a mean of 15 and a standard deviation of 3, then P(X=18) is…

A: Obtain probability that the X=18. The probability that the X=18 is obtained below as follows: The…

Q: Let the random variable X represent the profit made by the new restaurant on a randomly selected…

A: Given information- Population mean, µ = $360 Population standard deviation, σ = $50 Let, X be the…

Q: Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3.…

A: The random variable X follows normal distribution. The population mean is 10. The population…

Q: a population has a normal distribution with a mean of 50 and a stadnard deviation of 10. if a random…

A: Given,mean(μ)=50standard deviation(σ)=10sample size(n)=9

Q: Suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of…

A: Standard deviation is the measure of dispersion. It measure the spread of the data set. Standard…

Q: A normally distributed population has a mean of 1,214 and a standard deviation of 122. (a) Find the…

A: a) Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose the random variable X had a population mean u=20 and a population standard deviation o=9. If…

A: Given that: X is normally Distributed with mean µ = 20.0 and standard deviation σ = 9.0 By using…

Q: Suppose the random variable X has a population mean of u=20 and a population standard deviation o=9.…

A: Given Data Population Mean,μ = 20 Population Standard Deviation,σ = 9 sample size…

Q: A sample of 36 is taken from a population that is normally distributed with mean 15 and standard…

A:

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36…

A: Given that, Mean = 98.6 Standard deviation = 0.60 Sample size, n = 36

Q: According to Chebyshev's theorem, the probability that any random variable assumes a value within 3…

A: Given that the random variable X has mean μ and variance σ2. Consider,…

Q: Suppose that a population has a mean of 3 with a standard deviation of 1.25. Suppose a sample of…

A:

Q: If the standard deviation of the length of the candies is less than 0.5 inches, there is a…

A: Given data: Standard deviation = 0.5 inches Sample size = 20 Sample standard deviation = 0.3 inch…

Q: Suppose that the mean height of Grade 11 male students in a certain school is 170 cm, and that the…

A:

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.71° F. If 30…

A: From the provided information, Mean (µ) = 98.6 Standard deviation (σ) = 0.71

Q: If the weights of 8000 men follows a normal distribution with mean 67 kg. and the standard deviation…

A: As per our guidelines we are suppose to answer first question .

Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Solution: Let X be the monthly income of employee in Firm A. From the given information, X follows…

Q: The amount of calories in a small serving of French Fries at McDonalds is Normally distributed with…

A: The question is about central limit theorem Given : Popl. mean amount of calories ( μ ) = 230…

Q: If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then…

A: Given that µ=48 σ=18

Q: A scientist found that the time taken is M minutes, to carry out an experiment can be modelled by a…

A:

Q: 1. A sample of size 95 will be drawn from a population with mean 25 and standard deviation 10. Find…

A: We have given that,  X is random variable are normally distributed with mean(mu) = 25 and standard…

Q: Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is…

A:

Q: The average weight of insects for a laboratory experiment is 13.2 g with a standard deviation of 0.8…

A: Given: Mean=13.2g Standard Deviation=0.8g

Q: X is a normally distributed random variable with a mean of 5 and a standard deviation of 2. For…

A:

Q: or a normally distributed random variable X with mean of 177.25 and a standard deviation of 4.63…

A: It is given that the mean is 177.25 and standard deviation is 4.63.

Q: Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg.…

A:

Q: Given a normally distributed random variable X with a mean of 196 and a standard deviation of 20,…

A: Given mean = 196  Standard deviation = 20

Q: andom sample of n = 100 observations is selected from a population with mean 20 and standard…

A: n = 100 mean = 20 s = 15

Q: ose the population of all public Universities shows the annual parking fee per student is normally…

A: mean = 110 standard deviation = 18 P(100<x<115) = ?

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Correct answer is (B) 0.6826

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.