Suppose x has a distribution with = 12 and a = 6. LAUSE SALT (a) If a random sample of size n-39 is drawn, find and P12 ss 14). (Round a; to two decimal places and the probability to four decimal places.) P;= 995 P(12 ss 14) (b) If a random sample of size n71 is drawn, find and P(12 sis 14). (Round a; to two decimal places and the probability to four decimal places.) F;= OP P(12 SX ≤ 14) - (c) Why should you expect the probability of part (b) to be higher than that of part (a)7 (Hint: Consider the standard deviations in parts (a) and (b)) The standard deviation of part (b) is-Select- part (a) because of the -Select-sample size. Therefore, the distribution about is-Select-

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Suppose x has a distribution with = 12 and a = 6.
LAUSE SALT
(a) If a random sample of size n 39 is drawn, find and P12 sxs 14). (Round a to two decimal places and the probability to four decimal places.)
PX=
a
P(12 SX S14) -
(b) If a random sample of size n71 is drawn, find and P(12 sxs 14). (Round a to two decimal places and the probability to four decimal places.)
PX
a
P(12 SX S14)-
(c) Why should you expect the probability of part (b) to be higher than that of part (a)7 (Hint: Consider the standard deviations in parts (a) and (b).)
The standard deviation of part (b) is-Select- part (a) because of the Select-sample size. Therefore, the distribution about pr; is-Select-
Transcribed Image Text:Suppose x has a distribution with = 12 and a = 6. LAUSE SALT (a) If a random sample of size n 39 is drawn, find and P12 sxs 14). (Round a to two decimal places and the probability to four decimal places.) PX= a P(12 SX S14) - (b) If a random sample of size n71 is drawn, find and P(12 sxs 14). (Round a to two decimal places and the probability to four decimal places.) PX a P(12 SX S14)- (c) Why should you expect the probability of part (b) to be higher than that of part (a)7 (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is-Select- part (a) because of the Select-sample size. Therefore, the distribution about pr; is-Select-
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