Question

Suppose x has a normal distribution with mean μ = 16 and standard deviation σ =...

Suppose x has a normal distribution with mean μ = 16 and standard deviation σ = 11. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.)

μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.)

μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.)

μx = σx = How do the x distributions compare for the various samples sizes?

The means are the same, but the standard deviations are decreasing with increasing sample size.

The standard deviations are the same, but the means are decreasing with increasing sample size.

The means and standard deviations are the same regardless of sample size.

The standard deviations are the same, but the means are increasing with increasing sample size.

The means are the same, but the standard deviations are increasing with increasing sample size.

Homework Answers

Answer #1

-----------------------------------------------------

-----------------------------------------------------

-----------------------------------------------------

The means are the same, but the standard deviations are decreasing with increasing sample size.

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
Suppose x has a normal distribution with mean μ = 26 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 26 and standard deviation σ = 6. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
Suppose x has a normal distribution with mean μ = 52 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 52 and standard deviation σ = 4. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
Suppose x has a normal distribution with mean μ = 31 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 31 and standard deviation σ = 11. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
Suppose x has a normal distribution with mean μ = 45 and standard deviation σ =...
Suppose x has a normal distribution with mean μ = 45 and standard deviation σ = 10. Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = Describe the distribution of x values for sample size n = 100. (Round σx to two decimal places.) μx...
Suppose x has a distribution with μ = 29 and σ = 24. (a) If a...
Suppose x has a distribution with μ = 29 and σ = 24. (a) If a random sample of size n = 31 is drawn, find μx, σx and P(29 ≤ x ≤ 31). (Round σx to two decimal places and the probability to three decimal places.) μx=σx=P(29 ≤ x ≤ 31)= (b) If a random sample of size n = 72 is drawn, find μx, σx and P(29 ≤ x ≤ 31). (Round σx to two decimal places and...
Suppose x has a distribution with μ = 12 and σ = 8. (a) If a...
Suppose x has a distribution with μ = 12 and σ = 8. (a) If a random sample of size n = 34 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(12 ≤ x ≤ 14) = (b) If a random sample of size n = 58 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx...
Suppose x has a distribution with μ = 22 and σ = 18. (a) If a...
Suppose x has a distribution with μ = 22 and σ = 18. (a) If a random sample of size n = 35 is drawn, find μx, σx and P(22 ≤ x ≤ 24). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(22 ≤ x ≤ 24) = (b) If a random sample of size n = 60 is drawn, find μx, σx and P(22 ≤ x ≤ 24). (Round σx...
Suppose x has a distribution with μ = 21 and σ = 15. (a) If a...
Suppose x has a distribution with μ = 21 and σ = 15. (a) If a random sample of size n = 36 is drawn, find μx, σx and P(21 ≤ x ≤ 23). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(21 ≤ x ≤ 23) = (b) If a random sample of size n = 60 is drawn, find μx, σx and P(21 ≤ x ≤ 23). (Round σx...
Suppose x has a distribution with μ = 15 and σ = 12. (a) If a...
Suppose x has a distribution with μ = 15 and σ = 12. (a) If a random sample of size n = 32 is drawn, find μx, σ x and P(15 ≤ x ≤ 17). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(15 ≤ x ≤ 17) = (b) If a random sample of size n = 57 is drawn, find μx, σ x and P(15 ≤ x ≤...
Suppose x has a distribution with μ = 23 and σ = 15. (a) If a...
Suppose x has a distribution with μ = 23 and σ = 15. (a) If a random sample of size n = 32 is drawn, find μx, σ x and P(23 ≤ x ≤ 25). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(23 ≤ x ≤ 25) = (b) If a random sample of size n = 73 is drawn, find μx, σ x and P(23 ≤ x ≤...