Suppose x has a distribution with μ = 30 and σ = 28. (a) If a...

Suppose x has a distribution with μ = 30 and σ = 28. (a) If a random sample of size n = 49 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(30 ≤ x ≤ 32) = (b) If a random sample of size n = 67 is drawn, find μx, σ x and P(30 ≤ x ≤ 32). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(30 ≤ x ≤ 32) = (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about μx is.

Solutions

Expert Solution

milcah answered 11 months ago

Next > < Previous

Related Solutions

Suppose x has a distribution with μ = 28 and σ = 17. (a) If random...

Suppose x has a distribution with μ = 28 and σ = 17. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? Yes, the x distribution is normal with mean μx = 28 and σx = 4.25.Yes, the x distribution is normal with mean μx = 28 and σx = 1.1. Yes, the x distribution is normal with mean μx = 28 and σx = 17.No, the sample...

Suppose x has a distribution with μ = 30 and σ = 29. (a) If a...

Suppose x has a distribution with μ = 30 and σ = 29. (a) If a random sample of size n = 36 is drawn, find μx, σx and P(30 ≤ x ≤ 32). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(30 ≤ x ≤ 32) = (b) If a random sample of size n = 57 is drawn, find μx, σx and P(30 ≤ x ≤ 32). (Round σx...

Suppose x has a distribution with μ = 30 and σ = 23. (a) If a...

Suppose x has a distribution with μ = 30 and σ = 23. (a) If a random sample of size n = 42 is drawn, find μx, σx and P(30 ≤ x ≤ 32). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(30 ≤ x ≤ 32) = (b) If a random sample of size n = 70 is drawn, find μx, σx and P(30 ≤ x ≤ 32). (Round σx...

Suppose x has a normal distribution with mean μ = 28 and standard deviation σ =...

Suppose x has a normal distribution with mean μ = 28 and standard deviation σ = 4. a) Describe the distribution of x values for sample size n = 4. (Round σx to two decimal places.) μx = σx = b) Describe the distribution of x values for sample size n = 16. (Round σx to two decimal places.) μx = σx = c) Describe the distribution of x values for sample size n = 100. (Round σx to two...

Suppose x has a distribution with μ = 11 and σ = 6. (a) If a...

Suppose x has a distribution with μ = 11 and σ = 6. (a) If a random sample of size n = 39 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 ≤ 13) = (b) If a random sample of size n = 70 is drawn, find μx, σ x and P(11 ≤ x ≤...

Suppose x has a distribution with μ = 25 and σ = 18. (a) If a...

Suppose x has a distribution with μ = 25 and σ = 18. (a) If a random sample of size n = 34 is drawn, find μx, σ x and P(25 ≤ x ≤ 27). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(25 ≤ x ≤ 27) = (b) If a random sample of size n = 62 is drawn, find μx, σ x and P(25 ≤ x ≤...

A. 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 = 39 is drawn, find μx, σx and P(23 ≤ x ≤ 25). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(23 ≤ x ≤ 25) = (b) If a random sample of size n = 64 is drawn, find μx, σx and P(23 ≤ x ≤ 25). (Round...

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 = 37 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 = 57 is drawn, find μx, σx and P(21 ≤ x ≤ 23). (Round σx...

Suppose x has a distribution with μ = 11 and σ = 10. (a) If a...

Suppose x has a distribution with μ = 11 and σ = 10. (a) If a random sample of size n = 36 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(11 ≤ x ≤ 13) = (b) If a random sample of size n = 64 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx...

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 = 33 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 = 61 is drawn, find μx, σx and P(12 ≤ x ≤ 14). (Round σx...

Subjects