Question

A sample of size 35 is drawn from a population that has a mean of 17...

A sample of size 35 is drawn from a population that has a mean of 17 and a standard deviation of 3.7, and the population is not normally distributed. Give your answers to two decimal places. a. (2 pts) What is the mean of the sample means (show your work)? b. (3 pts) What is the standard deviation of the sample means (show your work)? c. (2 pt) Is it true the Central Limit Theorem can be applied, and the shape of the sample means is approximately normal? Circle one: YES NO

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that,

mean = = 17

standard deviation = = 3.7

n = 35

a)

The mean of the sample means is,

= 17 and

b)

the standard deviation of the sample means

= / n = 3.7 / 35 = 06254

c)

Yes it's true .

the Central Limit Theorem can be applied, and the shape of the sample means is approximately normal .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to the central limit theorem, if a sample of size 81 is drawn from a...
According to the central limit theorem, if a sample of size 81 is drawn from a population with a variance of 16, the standard deviation of the distribution of the sample means would equal _______. .98 .44 .68 .87 .75
A random sample is drawn from a population with mean μ = 72 and standard deviation...
A random sample is drawn from a population with mean μ = 72 and standard deviation σ = 6.0. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 45 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...
A random sample is drawn from a normally distributed population with mean μ = 30 and...
A random sample is drawn from a normally distributed population with mean μ = 30 and standard deviation σ = 2.3. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n = 35 and n = 76 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 35...
A random sample is drawn from a population with mean μ = 64 and standard deviation...
A random sample is drawn from a population with mean μ = 64 and standard deviation σ = 5.3. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 34 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...
A random sample is drawn from a normally distributed population with mean μ = 25 and...
A random sample is drawn from a normally distributed population with mean μ = 25 and standard deviation σ = 1.5. a. Are the sampling distributions of the sample mean with n = 33 and n = 66 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 33 will have a normal distribution. No, only the sample mean...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean...
Suppose we repeatedly take samples of size 100 from the population distribution, calculate a sample mean each time, and plot those sample means in a histogram. The histogram we created would be an example of a (variable, population, distribution, sampling distribution???) . According to the central limit theorem, the histogram would have a shape that is approximately (left skewed, right skewed or normal???) , with mean  (give a number???) and standard deviation  (give a number??). The standard deviation of the statistic under...
A random sample of size 30 is selected from a known population with a mean of...
A random sample of size 30 is selected from a known population with a mean of 13.2 and a standard deviation of 2.1. Samples of the same size are repeatedly collected, allowing a sampling distribution of sample means to be drawn. a. What is the expected shape of the resulting distribution? b. Where is the sampling distribution of sample means centered? c. What is the approximate standard deviation of the sample means? 2. The lifetimes of a certain type of...
1. A random sample of size 50 will be drawn from a normally distributed population with...
1. A random sample of size 50 will be drawn from a normally distributed population with mean 32 and standard deviation 5. Find P (x̅<30). Round to 4 decimal places. Please show work/steps. A. 0.0023 B. 0.2660 C. 0.3446 D. 0.7340 2. You are interested in determining the percentage of LBCC students who drive themselves to school. You find that between 35% and 49% of LBCC students drive themselves to school. Find the point estimate. Write your answer as a...
a) What is the Central Limit Theorem? It is always true that as the sample size,...
a) What is the Central Limit Theorem? It is always true that as the sample size, n, increases, the distribution of the sample means will be approximately normally distributed. Explain b) If the underlying population of study is not normally distributed, how large should the sample size be? What if the population is normally distributed ?
A sample average of size 14 is drawn from a normally distributed population and has a...
A sample average of size 14 is drawn from a normally distributed population and has a mean of 77 and a standard deviation of 14. Find the lower end, if 95% of all possible sample averages?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT