Question 1123333: Manufacturers of HRT (hormone replacement therapy) need to know the potential market for their products that relieve side effects of menopause. For women without hysterectomy the average age for menopause is 51.4 years. Assume a standard deviation of 3.8 years. a. What is the probability that menopause will occur before age 40? b. After age 55? c. What assumptions did you make? d. Among the 73.1 million American women between the ages 30 and 75, how many would be potential users of HRT?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Assuming normality, z=(x-mean)/sd.
<(40-51.4)/3.8 or < 3 sd s or probability is 0.0013
after age 55 would be z>3.6/3.4 or 1.058 or probability or 0.1450
age 30 is -21.4/3.8 or -5.63 sd
age 75 is 23.6/3.8 or 6.21 sd
By the time a woman has reached 75, she has essentially a 100% probability of having gone through menopause, assuming (not valid) she hasn't had a hysterectomy. That's an important assumption to make. Again, normality is important to assume as well, since there are potential statistical distributions (not necessarily valid in this population) that would have some reasonable non-zero probability of women not having gone through menopause.
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