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Forearm Length. In 1903, K. Pearson and A. Lee published a paper entitled “On the Laws of Inheritance in Man. I. Inheritance of Physical Characters” (Biometrika, Vol. 2, pp. 357–462). From information presented in that paper, forearm length of men, measured from the elbow to the middle fingertip, is (roughly)
- a. Sketch the distribution of the variable x.
- b. Obtain the standardized version, z, of x.
- c. Identify and sketch the distribution of z.
- d. The area under the normal curve with parameters 18.8 and 1.1 that lies between 17 and 20 is 0.8115. Determine the probability that a randomly selected man will have a forearm length between 17 inches and 20 inches.
- e. The percentage of men who have forearm length less than 16 inches equals the area under the standard normal curve that lies to the ________ of ________.
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- The data in the following table provide the relationship between breast-cancer incidence rate and menopausal status by age, based on Nurses’ Health Study (NHS) data from 1976-1990. The incidence rate for each group is given in two ways - first as cases/person-years and then as (cases per 100,000 person-years). Age Premenopausal Postmenopausal 35-39 124/131,704 (94) 15/14,795 (101) 40-44 264/179,132 (147) 47/43,583 (108) 45-49 304/151,548 (201) 163/90,965 (179) 50-54 159/61,215 (260) 401/184,597 (217) 55-59 25/6133 (408) 490/180,458 (272) Problem 1 Assess whether there is a difference between the incidence rate of breast cancer for premenopausal vs. postmenopausal women, controlling for age. Write out all 4 steps of the hypothesis test including a two-tailed -value. Problem 2 Provide a point estimate of the incidence rate ratio for postmenopausal vs. premenopausal women after controlling for age. Support your estimate with a 95%…arrow_forward13.arrow_forwardQuestion 9 Suppose that X is normally distributed with a mean of 40 and a standard deviation of 15. What is P(X> 52.45)? a) O 0.203 b) O 0.597 c) O 0.206 d) O 0.297 e) O 0.207 f). O None of the abovearrow_forward
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