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  3. suppose x has a distribution with μ = 10 and Ï

Suppose x has a distribution with μ = 10 and σ = 3. (a) If a...

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Statistics

Suppose x has a distribution with μ = 10 and σ = 3.

(a) If a random sample of size n = 47 is drawn, find μx, σ x andP(10 ≤ x ≤ 12). (Round σx to two decimal places and the probabilityto four decimal places.)

μx =

σ x =

P(10 ≤ x ≤ 12) =

(b) If a random sample of size n = 58 is drawn, find μx, σ x andP(10 ≤ x ≤ 12). (Round σ x to two decimal places and theprobability to four decimal places.)

μx =

σ x =

P(10 ≤ x ≤ 12) =

(c) Why should you expect the probability of part (b) to behigher than that of part (a)? (Hint: Consider the standarddeviations in parts (a) and (b).) The standard deviation of part(b) is part (a) because of the sample size. Therefore, thedistribution about μx is

Answer & Explanation Solved by verified expert
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Solution Given that a mean 10standard deviation 3n 47 10 n 3    See Answer
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