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Chapter 10: Q. AP3.4 (page 701)

The distribution of grade point averages (GPAs) for a certain college is approximately Normal with a mean of 2.5 and a standard deviation of 0.6. The minimum possible GPA is 0.0 and the maximum possible GPA is 4.33. Any student with a GPA less than 1.0 is put on probation, while any student with a GPA of 3.5 or higher is on the dean鈥檚 list. About what percent of students at the college are on probation or on the dean鈥檚 list?

a.0.6b.4.7c.5.4d.94.6e.95.3

Short Answer

Expert verified

The correct option is:

c.5.4percent of students at the college are on probation or on the dean鈥檚 list

Step by step solution

01

 Step 1: Given information 

We have to tell percent of students at the college are on probation or on the dean鈥檚 list.

02

Explanation 

The college are on probabtion:

P(X鈮�1.0orX鈮�3.5)=P(Z<-2.50orZ>1.67)

=P(Z<-2.50)+1-P(Z<1.67)

=0.0062+1-0.9525

=5.4%

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Sports Illustrated planned to ask a random sample of Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥� Which of the following is the smallest number of athletes that must be interviewed to estimate the true proportion who believe performance-enhancing drugs are a problem within 卤2% with 90% confidence?

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According to sleep researchers, if you are between the ages of 12and 18years old, you need 9hours of sleep to function well. A simple random sample of 28students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was 7.9hours with a standard deviation of 2.1hours. If we are interested in whether students at this high school are getting too little sleep, which of the following represents the appropriate null and alternative hypotheses ?

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