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1.  Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.                     83   A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate 83, which is to the left of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded.   Question content area bottom Part 1

1.  Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.                     83   A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate 83, which is to the left of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded.   Question content area bottom Part 1

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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1. 

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
 
 
 
 
 
 
 
 
 
 
83
 
A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate 83, which is to the left of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded.
 
Question content area bottom
Part 1
The area of the shaded region is
 
enter your response here
 
​(Round to four decimal places as​ needed.)
 
 
2. Assume that human body temperatures are normally distributed with a mean of 98.22°F and a standard deviation of 0.63°F.
a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a​ fever? Does this percentage suggest that a cutoff of 100.6°F is​ appropriate?
b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature​ be, if we want only​ 5.0% of healthy people to exceed​ it? (Such a result is a false​ positive, meaning that the test result is​positive, but the subject is not really​ sick.)
 
3. Assume that military aircraft use ejection seats designed for men weighing between 145.4 lb and 203
lb. If​ women's weights are normally distributed with a mean of 178.5 lb and a standard deviation of 49.4
​lb, what percentage of women have weights that are within those​ limits? Are many women excluded with those​ specifications?
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