1. Section 7.2 Central Limit Theorem with Population Means HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved.

2. The z-score formula for population means becomes HAWKES LEARNING SYSTEMS math courseware specialists z-Score: Sampling Distributions 7.2 Central Limit Theorem with Population Means or

3. The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.73° F. What is the probability of a sample of 36 adults having an average normal body temperature less than 98.3° F? Calculate the probability: HAWKES LEARNING SYSTEMS math courseware specialists  98.6,  0.73, n  36,  98.3 Solution: Sampling Distributions 7.2 Central Limit Theorem with Population Means P(z <  2.47)  0.0068

4. The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.73° F. What is the probability of a sample of 40 adults having an average normal body temperature greater than 99° F? Calculate the probability: HAWKES LEARNING SYSTEMS math courseware specialists  98.6,  0.73, n  40,  99 Solution: Sampling Distributions 7.2 Central Limit Theorem with Population Means P(z > 3.47)  0.0003

5. The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.73° F. What is the probability of a sample of 81 adults having an average normal body temperature that differs from the population mean by less than 0.1° F? Calculate the probability: HAWKES LEARNING SYSTEMS math courseware specialists  0.01,  0.73, n  81 Solution: Sampling Distributions 7.2 Central Limit Theorem with Population Means P(  1.23 < z < 1.23)  0.7814

6. The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.73° F. What is the probability of a sample of 100 adults having an average normal body temperature that differs from the population mean by more than 0.05° F? Calculate the probability: HAWKES LEARNING SYSTEMS math courseware specialists  0.05,  0.73, n  100 Solution: Sampling Distributions 7.2 Central Limit Theorem with Population Means P(z 0.68)  0.4966