By Jerome C.R. Li
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Example text
EXERCISES (1) If a normal population has a mean equal to 10 and a variance (not standard deviation) equal to 4. (a) what percentage of the observations fall between 9 and 14? 88%) (b) what percentage of the observations fall between 13 and IS? 06%) {d within what range will the middle 95% of the observations fall? 92) (d) within what range will the middle 99% of the observations fall? 15) (2) For the same population given in Exercise (1), find the relative cumulative frequencies less tban 6, 7, 8, 9, 10, 11, 12, 13, and 14.
One of two kinds of errors, called Type I error and Type 1/ error, may be committed. For example: Smith is drinking coffee with his friend and the two agree to toss a penny to decide who is going to pay for the two cups of coffee. The very fact that Smith gambles with his friend indicates that he trusts him. other words, Smith acts on the hypothesis that hie friend ie honest and will not cheat him. If this tossing is repeated the next day and Smith loses both times, he will probably not doubt his friend's honesty.
6 ---. 00 numbers; yet the total number of samples is (500)' or 31,250,000,000,000. The direct enumeration of so many samples, without proper tools, is almost impossible. To avoid such a tremendous undertaking, a special branch of mathematics called probability has been used to cope with such problems. The purpose of using probability on these types of problems is to replace tedious labor by mathematical skill. However, the giant high-speed computing machines built during the last decade make the direct enumeration a feasible approach.