Question

Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ.

Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ. II. The distribution of sample means for sample size n will have a standard deviation of. III. The distribution of sample means will approach a normal distribution as n approaches infinity.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Answer:

Which of the following is a true statement for any population with mean μ and standard deviation σ?

I.The distribution of sample means for sample size n will have a mean of μ.

True

II. The distribution of sample means for sample size n will have a

.standard deviation of σ/sqrt(n)    true

OR

standard deviation of σ   false

III. The distribution of sample means will approach a normal distribution as n approaches infinity.

True

Note:

The central limit theorem states that if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population is taken , then the distribution of the sample means will be approximately normally distributed with mean μ and standard deviation σ/sqrt(n).

Add a comment
Know the answer?
Add Answer to:
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ.
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT