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Chapter 6: Q6.16 (page 260)
Precisely, what is meant by the statement that a population is normally distributed ?
A population is normally distributed means it is evenly distributed around mean, its un skewed & measures of central tendency are same. Sample also follow same distribution.
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Body Temperatures Based on the sample results in Data Set 3 鈥淏ody Temperatures鈥� in Appendix B, assume that human body temperatures are normally distributed with a mean of 98.20掳F and a standard deviation of 0.62掳F.
a. According to emedicinehealth.com, a body temperature of 100.4掳F or above is considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.4掳F is appropriate?
b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 2.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)
Standard normal distribution. In Exercise 17-36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1.In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.
Less than -1.23
Normal Distribution What鈥檚 wrong with the following statement? 鈥淏ecause the digits 0, 1, 2, . . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution.鈥�
Birth Weights Based on Data Set 4 鈥淏irths鈥� in Appendix B, birth weights are normally distributed with a mean of 3152.0 g and a standard deviation of 693.4 g.
a. For the bell-shaped graph, what is the area under the curve?
b. What is the value of the median?
c. What is the value of the mode?
d. What is the value of the variance?
Standard Normal DistributionIn Exercises 17鈥�36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers
to four decimal places.
Greater than 0.25
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