01 Jun Question 1. The heights of women aged 20 to 29 follow approximately the N (66.1, 3.5) distribution. Men the same age have heights distributed as N (69.8, 3.2).
Question
1. The heights of women aged 20 to 29 follow approximately the N (66.1, 3.5) distribution. Men the same age have heights distributed as N (69.8, 3.2).
What percent of young women are taller than the mean height of young men?
A. 85.5%
B. 95%
C. 1.5%
D. 14.5%
E. 0.14%
F. 10%
2. Scores on a university exam are Normally distributed with a mean of 78 and a standard deviation of 8. The professor teaching the class declares that a score of 70 or higher is required for a grade of at least “C.”
Reference:
Using the 68-95-99.7 rule, what percentage of students failed to earn a grade of at least “C”?
A. 5%
B. 32%
C. 16%
D. 2.5%
3. Scores on the SAT verbal test in recent years follow approximately the N(515, 109) distribution.
Reference: Ref 3-8
The proportion of students scoring at least 600 is closest to
A. 0.782.
B. 0.218.
C. 0.184.
D. 0.082.
4. Using the standard Normal distribution tables, the area under the standard Normal curve corresponding to –0.5 < Z < 1.2 is
A. 0.5764.
B. 0.3085.
C. 0.8849.
D. 0.2815.
5. A soft-drink machine can be regulated so it discharges an average of ? oz per cup. If the ounces of fill are Normally distributed, with a standard deviation of 0.4 oz, what value should ? be set at so 6-oz cups will overflow only 2% of the time?
A. 5.18
B. 6.82
C. 6.00
D. 5.60
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