Suppose has a distribution with u = 18 and o = 14. (a) If a random sample of size n = 39 is drawn, find u-, o, and P(18< xs 20). (Round o, to two decimal places and the probability to four decimal places.) H, = 18 = 2.24 P(18 sxs 20) = (b) If a random sample of size n = 72 is drawn, find u, o , and P(18

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4. [7/9 Points]
DETAILS
PREVIOUS ANSWERS
BBUNDERSTAT12HS 6.5.011.NVA
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Suppose x has a distribution with u = 18 and o = 14.
(a) If a random sample of size n = 39 is drawn, find u, o, and P(18< x < 20). (Round o, to two decimal places and the probability to four decimal
places.)
Hx = 18
x= 2.24
P(18 s xs 20) =
(b) If a random sample of size n = 72 is drawn, find u, o, and P(18 < x< 20). (Round o, to two decimal places and the probability to four decimal
places.)
に=|18
O=1.649
P(18 < xs 20) =
(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 smaller than v part (a) because of the larger
sample size. Therefore, the distribution about u, is
narrower
Transcribed Image Text:4. [7/9 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12HS 6.5.011.NVA MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose x has a distribution with u = 18 and o = 14. (a) If a random sample of size n = 39 is drawn, find u, o, and P(18< x < 20). (Round o, to two decimal places and the probability to four decimal places.) Hx = 18 x= 2.24 P(18 s xs 20) = (b) If a random sample of size n = 72 is drawn, find u, o, and P(18 < x< 20). (Round o, to two decimal places and the probability to four decimal places.) に=|18 O=1.649 P(18 < xs 20) = (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 smaller than v part (a) because of the larger sample size. Therefore, the distribution about u, is narrower
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