Suppose x has a distribution with μ = 11 and σ = 3. A button hyperlink to the SALT program that reads: Use SALT. (a) If a random sample of size n = 32 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 =
Suppose x has a distribution with μ = 11 and σ = 3.
A button hyperlink to the SALT program that reads: Use SALT.
(a) If a random sample of size n = 32 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 = 62 is drawn,
find μx, σ x and P(11 ≤ x ≤ 13).
(Round σ x to two decimal places and the probability to four decimal places.)
μx =
σ x =
P(11 ≤ x ≤ 13) =
(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
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part (a) because of the
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sample size. Therefore, the distribution about μx is
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