Suppose x has a distribution with u = 14 and o= 12. (a) If a random sample of size n = 45 is drawn, finduz, o- and P(14 Sxs 16). (Round o to two decimal places and the probability to four decimal places.) P(14 s x < 16) =

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Suppose x has a distribution with u = 14 and o = 12.
(a) If a random sample of size n = 45 is drawn, find uz, o- and P(14 s xs 16). (Round o to two decimal places and the probability to four decimal places.)
Hx =
P(14 < x < 16) =
(b) If a random sample of size n = 67 is drawn, find u, o- and P(14 s x < 16). (Round o - to two decimal places and the probability to four decimal places.)
P(14 < x s 16) = |
(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 -Select- v part (a) because of the
-Select--v sample size. Therefore, the distribution about u- is -Select-v
Us e V i 12:
hp
&
%23
6
7
41
y
e
Transcribed Image Text:Suppose x has a distribution with u = 14 and o = 12. (a) If a random sample of size n = 45 is drawn, find uz, o- and P(14 s xs 16). (Round o to two decimal places and the probability to four decimal places.) Hx = P(14 < x < 16) = (b) If a random sample of size n = 67 is drawn, find u, o- and P(14 s x < 16). (Round o - to two decimal places and the probability to four decimal places.) P(14 < x s 16) = | (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 -Select- v part (a) because of the -Select--v sample size. Therefore, the distribution about u- is -Select-v Us e V i 12: hp & %23 6 7 41 y e
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