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Ch. 4.3 Hypothesis Testing Examples • Example 1. The total blood protein in a healthy adult is normally distributed with mean 7.25 grams per decilitre and standard deviation .029 g/dl. A particular patient is feeling sick and showing signs of an abnormal blood protein level and is given a series of 10 blood tests. Her mean blood protein level is 7.233 g/dl. Test whether the sickness is due to an abnormal blood protein level. 1 Ch. 4.3 Hypothesis Testing Examples • Example 2. You work for an insurance company with a product whose premiums have been calculated using the assumption that the average claim size is $1100. You want to increase the premium, but before you can do so, you require evidence that the claim size has really increased. Do the following data provide support for you? 250 320 1225 190 1700 450 480 3100 1540 2600 210 470 825 1800 1920 70 1425 1370 2520 2200 1020 1820 (Note that x̄ = 1250.227 and s = 891.93) 2 Ch. 4.3 Hypothesis Testing Examples • Example 3. I claim that the percentage of smokers at the university is less than 5%. In a random sample of 225 students, you find 4 of them who said they smoked. Does this provide evidence to support my claim? What if this was a question about marijuana use? Would you believe the answer? 3