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EXAMPLE 3

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in the Pyramid Lake is = 19 inches. However the Creel Survey ( published by the Pyramid Paiute Tribe Fisheries Association] reported that a random sample of 51 fish caught, the mean length was = 18.5 inches, with estimated standard deviation = 3.2 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than =19 inches?

Use = 0.05

Example 4

Let X has a random variable that represents the hemoglobin count in human blood in grams per milliliters. In healthy adult females, X has an approximately normal distribution with a population mean of = 14.2 and a standard deviation of =2.4

Suppose a female patient has 10 blood tests over the past year, and the sample HC was determined to be

x =15.2 with the level of significance = 0.01 Determine whether the patient's HC is higher than the population average.