math215 Lecture Notes - Lecture 4: In Rainbows, Confidence Interval, Central Limit Theorem
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Unit 4 estimation and tests of hypotheses for one population. Solutions to unit 4 self test: a. , equals the population mean, , which equals 23 years of age: the standard deviation of the sampling distribution of means. 0. 5: the sampling error equals x 26 23 3, to answer each of the points in question 2, we note that the sampling distribution of the sample proportion is approximately normal, with. P(z 1. 98) 1. 0000 0. 9761 0. 0239 a. Page 2 of 6: to answer each of the points in question 3, we note that, since the population is normal and we know the population standard deviation, the sampling distribution of the sample mean is normal, with. P(z 1. 25) 0. 1056 b. P(1480 x 1540) p( 1 z 2) 09772 0. 1587 0. 8185: we must find , the sample size, required to estimate the mean. n n z 2 2.
