Random samples of size 225 are drawn from a population with mean 100 and standard deviation 20. Find the mean and standard deviation of the sample mean.

Q: A random sample of 25 observations yield a mean of 116 and a standard deviation of 12. What is the…

A: Given data,Mean μ=116sd σ=12P(X>1150)=?

Q: A sample of 25 observations is taken from an infinite population with a mean of 45 and a standard…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

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

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Q: The standard deviation of  sample means is a function of both the standard deviation of the…

A: Solution Standard deviation of a sample mean is equal to Sd/✓n Where sd denote the Standard…

Q: A sample of 90 items has mean 55 and standard deviation 3. A second sample of 110 items has mean 60…

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Q: A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. Find the…

A: From the given information,Sample size 25, mean 106 and standard deviation 12

Q: If a population has a mean of 15 and standard deviation of 3, what is expected of the sample mean…

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Q: Assume the random variable X is normally​ distributed, with mean μ=45 and standard deviation σ=8.…

A: Given,μ=45σ=8P(X<x)=13%=0.13x=?

Q: For a population with a mean of 72 and a standard deviation of 10 what is the standard error of the…

A: From the provided information, Mean (µ) = 72 Standard deviation (σ) = 10

Q: They select a random sample of 101 recent college graduates and find a sample mean hourly wage of…

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Q: Cititon Forest contains a population of 326 chupacabra, whose masses have a mean of 30.2 kg and a…

A: Given that ; N = 326 u = 30.2 kg n = 70 kg ? = 7.4 kg By using standard normal distribution we solve…

Q: If x represents a random variable with mean 125 and standard deviation 20, then the standard…

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Q: Suppose that we randomly select a sample of 80 measurements from an infinite population having a…

A: 1) Given: Mean μ=30 Standard deviation σ=5 Sample size n=80

Q: Given a standard error of 5.2 with a sample size of 9. Then the standard deviation is

A: Solution: 4. From the given information, a standard error is 5.2 and n=9.

Q: Assume the random variable X is normally​ distributed, with mean μ=59 and standard deviation σ=9.…

A: Solution: From the given information, X follows normal distribution with mean µ=59 and a standard…

Q: A test is made of Ho: μ = 100 vs. Ha : μ ≠ 100. Given a sample size of 100 and its mean of 97 and…

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Q: If x represents a random variable with mean 125 and standard deviation 36, then the standard…

A: For a random sample of 81, X –bar follows normal with mean value of 125 and standard deviation of 4.…

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: Obtain the standard deviation of the random variable.

A: First we have to calculate the E(Y2) to find the variance and then standard deviation. It is given…

Q: The population standard deviation and sample standard deviation are of the same value if the…

A: The study is about the population standard deviation and sample standard deviation.

Q: If x represents a random variable with mean 137 and standard deviation 35, then the standard…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters?…

A: Solution: It is given here that the confidence level is 95% The margin of error, E = 3 The…

Q: if the standard deviation of a sample is 0.5 find the variance

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Q: Find the raw score of a standard score of z= -1.25 in a normally distributed population with mean 25…

A: given data Z score =-1.25 Mean = 25 standard deviation = 5

Q: Assume you have taken 125 samples of size 81 each from a population. The population variance is 64.…

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Q: A population has a mean of 75 and a standard deviation of 15. If you randomly sample 9 people from…

A: Mean = 75 Standard deviation = 15 Sample size = 9

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

A: Given Information: Standard deviation (s) = 16  Sample size (n) = 64  Sample mean - Population mean…

Q: If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8,…

A: Given: µ = 75 σ = 8

Q: Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.

A: When a coin is tossed it can it can land either head or tail. Therefore, the number of outcomes is…

Q: The standard deviation of the sample mean is less than the standard deviation of the population.…

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Q: Draw á random sample of size 5 from a normal population with mean zero and standard deviation unity.

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Q: A population has µ = 50 and o - 5. If 10 points are added to every score in the population, what are…

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Q: Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2…

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Q: If 200 scores a taken at random from a normal distribution with mean 70 and standard deviation 5,…

A: From the given information,  the value of mean is 70, standard deviation is 5 and sample size (n) is…

Q: If the population standard deviation is unknown, then we could use the sample standard deviation to…

A: We have given that the statement about the standard error of the mean. The formula of standard error…

Q: Suppose the variance of a sample is 7.3. Find the standard deviation. Round to two decimals.

A: Given : Variance , s2 = 7.3

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

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Suppose that we will randomly select a sample of 106 measurements from a population having a mean…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: For a population with a means of 72 and a standard deviation of 10 what is the standard error of the…

A: We have given that  Mean=72 Standard deviation=10 Sample size=25 Find the standard error

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 a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49…

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Q: If you draw a sample of size 10 from a population of size 35 with a population mean of 83.4 and…

A: In question, Given that you draw a sample of size 10 from a population of size 35 with a population…

Q: If a normal distribution has a mean of 15.15 and standard deviation of 3.33, then what proportion of…

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Q: Assume the random variable X is normally​ distributed, with mean μ=47 and standard deviation σ=8.…

A:

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

Q: Calculate the standard error for a sample mean when the population standard deviation is 250.1 and…

A: here given population standard deviation,σ=250.1 sample size , n=10,823   formula for standard…

Q: Suppose the variance of a sample is 5.7. Find the standard deviation. Round to two decimals.

A: According to the given information, we have Variance = 5.7

Q: A random sample of size 40 is taken from a large population with mean 100 and standard deviation 16.…

A: Given, μ=100σ=16

Q: If the sample size is 100 and the population standard deviation is 20, then the standard deviation…

A: Standard error:The standard deviation of the sampling distribution of the mean is called standard…

Q: IF THE VARIANCE OF A POPULATION IS 0.75, THE STANDARD DEVIATION MUST BE?

A: It is an important part of statistics . It is widely used .