Question

Suppose an x distribution has mean μ = 2. Consider two corresponding  x distributions, the first based...

Suppose an x distribution has mean μ = 2. Consider two corresponding  x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81.

(a) What is the value of the mean of each of the two x distributions?

For n = 49, μx=
For n = 81, μx=

Suppose x has a distribution with μ = 54 and σ = 5.

Find P(50 ≤ x ≤ 55). (Round your answer to four decimal places.)

Homework Answers

Answer #1

For n = 49, = 54

For n = 81, = 54

P(50 < < 55)

= P((50 - )/() < ( - )/() < (55 - )/())

= P((50 - 54)/(5/) < Z < (55 - 54)/(5/))

= P(-5.6 < Z < 1.8)

= P(Z < 1.8) - P(Z < -5.6)

= 0.9641 - 0

= 0.9641

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 an x distribution has mean μ = 4. Consider two corresponding x distributions, the first...
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x =
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first...
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 5) smaller? Explain your answer. The distribution...
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first...
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = (b) For which x distribution is P( x > 5) smaller? Explain your answer. The distribution...
Suppose x has a distribution with μ = 19 and σ = 15. (a) If a...
Suppose x has a distribution with μ = 19 and σ = 15. (a) If a random sample of size n = 48 is drawn, find μx, σ x and P(19 ≤ x ≤ 21). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(19 ≤ x ≤ 21) = (b) If a random sample of size n = 58 is drawn, find μx, σ x and P(19 ≤ x ≤...
Suppose x has a distribution with μ = 29 and σ = 25. (a) If a...
Suppose x has a distribution with μ = 29 and σ = 25. (a) If a random sample of size n = 41 is drawn, find μx, σ x and P(29 ≤ x ≤ 31). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(29 ≤ x ≤ 31) = (b) If a random sample of size n = 71 is drawn, find μx, σ x and P(29 ≤ 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 = 44 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 = 64 is drawn, find μx, σ x and P(23 ≤ x ≤...
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 = 11 and σ = 9. (a) If a...
Suppose x has a distribution with μ = 11 and σ = 9. (a) If a random sample of size n = 48 is drawn, find μx, σ x and P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(11 ≤ x (x bar) ≤ 13) = (b) If a random sample of size n = 63 is drawn, find μx, σ x and P(11 ≤...
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 ≤...
Suppose x has a distribution with μ = 75 and σ = 8. (a) If random...
Suppose x has a distribution with μ = 75 and σ = 8. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? No, the sample size is too small.Yes, the x distribution is normal with mean μx = 75 and σx = 0.5.    Yes, the x distribution is normal with mean μx = 75 and σx = 2.Yes, the x distribution is normal with mean μx = 75...