Question

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 ≤ 25). (Round σ x to two decimal places and the probability to four decimal places.) μx = σ x = P(23 ≤ x ≤ 25) = (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 .

Answer #1

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 = 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 = 9.
(a) If a random sample of size n = 43 is drawn, find
μx, σx
and P(15 ≤ x ≤ 17). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(15 ≤ x ≤ 17) =
(b) If a random sample of size n = 67 is drawn, find
μx, σx
and P(15 ≤ x ≤ 17). (Round
σx...

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 = 19 and
σ = 15.
(a) If a random sample of size n = 45 is drawn, find
μx, σx
and P(19 ≤ x ≤ 21). (Round
σx to two decimal places and the
probability to four decimal places.)
μx =
σx =
P(19 ≤ x ≤ 21) =
(b) If a random sample of size n = 75 is drawn, find
μx, σx
and P(19 ≤ x ≤ 21). (Round
σx...

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 = 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 = 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 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 = 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 ≤...

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