Suppose x has a distribution with ? = 17 and ? = 16. (a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(17 ≤ x ≤ 19) = (b) If a random sample of size n = 73 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(17 ≤ x ≤ 19) = (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 part (a) because of the sample size. Therefore, the distribution about ?x
Suppose x has a distribution with ? = 17 and ? = 16. (a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ?x to two decimal places and the probability to four decimal places.) ?x = ? x = P(17 ≤ x ≤ 19) = (b) If a random sample of size n = 73 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ? x to two decimal places and the probability to four decimal places.) ?x = ? x = P(17 ≤ x ≤ 19) = (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 part (a) because of the sample size. Therefore, the distribution about ?x
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose x has a distribution with ? = 17 and ? = 16.
(a) If a random sample of size n = 43 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ?x to two decimal places and the probability to four decimal places.)
(b) If a random sample of size n = 73 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ? x to two decimal places and the probability to four decimal places.)
(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 part (a) because of the sample size. Therefore, the distribution about ?x is .
| ?x = |
| ? x = |
| P(17 ≤ x ≤ 19) = |
(b) If a random sample of size n = 73 is drawn, find ?x, ? x and P(17 ≤ x ≤ 19). (Round ? x to two decimal places and the probability to four decimal places.)
| ?x = |
| ? x = |
| P(17 ≤ x ≤ 19) = |
(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 part (a) because of the sample size. Therefore, the distribution about ?x is .
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