Question

Describe the distribution of sample means (i.e., shape, measure of central tendency, and variability) for samples...

Describe the distribution of sample means (i.e., shape, measure of central tendency, and variability) for samples of size n = 49 selected from a population with mean µ = 14 and standard deviation σ = 7. Be specific and calculate as necessary.

Homework Answers

Answer #1

Let X be the random variable.

The sample size is

As per the central limit theorem, when the sample size is large (i.e. greater than 30), the distribution of the sample means is approximately normal with mean, and variance, .

The aim is to find the sampling distribution for the random variable .

As per the given information, and the description above, follows the normal distribution with parameters:

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Random samples of size n were selected from a normal population with the means and variances...
Random samples of size n were selected from a normal population with the means and variances given here. n = 25, μ = 12, σ2 = 9 Describe the shape of the sampling distribution of the sample mean. a. The distribution is normal b. The distribution is skewed left c. The distribution is bimodal d. The distribution is uniform e. The distribution is skewed right Find the mean and the standard error of the sampling distribution of the sample mean....
Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution...
Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 50 and standard deviation 15. JackJack obtains 1000 random samples of size n=55 from the​ population, finds the mean of the​ means, and determines the standard deviation of the means. Diane does the same​ simulation, but obtains 1000 random samples of size n=40 from the population. Complete parts​ (a) through​ (c) below. a) Describe the...
Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution...
Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution with μ = 220 and σ = 33.8. You intend to draw a random sample of size n = 35. Find the probability that a single randomly selected value from the population is less than 224.
1.What is the best way to describe the expected value of M?​ ​a.The sample standard deviation...
1.What is the best way to describe the expected value of M?​ ​a.The sample standard deviation ​b.The standard deviation for the distribution of sample means ​c.A sample mean ​d.The mean of the distribution of sample means 2.Which combination of factors is more likely to produce small standard error? a.σ = 5; n = 25 b.σ = 5; n = 100 c.σ = 10; n = 25 d.σ = 10; n = 100 3.The standard error is written out with which...
The Central Limit Theorem allows us to make predictions about where a sample mean will fall...
The Central Limit Theorem allows us to make predictions about where a sample mean will fall in a distribution of sample means. One way it does this is by explaining (using a formula) how the shape of the distribution will change depending on the sample size. What part of the Central Limit Theorem tells us about the shape of the distribution? The part that explains that there is no standardized table you can use to find probabilities once you use...
A random sample of size n = 49 is selected from a population with mean μ...
A random sample of size n = 49 is selected from a population with mean μ = 54 and standard deviation σ = 14. What will be the mean and standard deviation of the sampling distribution of x?
Use the formula to find the standard error of the distribution of differences in sample means,...
Use the formula to find the standard error of the distribution of differences in sample means, . Samples of size  120 from Population 1 with mean  87 and standard deviation  14 and samples of size  85 from Population 2 with mean  71 and standard deviation  17 Round your answer for the standard error to two decimal places. standard error =
Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution...
Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution with μ=77 and σ=9.2. You intend to draw a random sample of size n=30. Find the probability that a sample of size n=30n=30 is randomly selected with a mean less than 76.8. P(M < 76.8) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Samples of n = 25 scores are selected from a population. If the distribution of sample...
Samples of n = 25 scores are selected from a population. If the distribution of sample means has an expected value of 50 and a standard error of 2, what are the mean and the standard deviation for the population?
Samples of n = 16 scores are selected from a population. If the distribution of sample...
Samples of n = 16 scores are selected from a population. If the distribution of sample means has an expected value of 40 and a standard error of 2, what is the mean and the standard deviation for the population?​ ***please provide step by step details