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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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Most popular questions from this chapter

An agricultural station is testing the yields for six different varieties of seed corn. The station has four large fields available, located in four distinctly different parts of the county. The agricultural researchers consider the climatic and soil conditions in the four parts of the county as being quite different, but are reasonably confident that the conditions within each field are fairly similar throughout. The researchers divide each field into six sections and then randomly assign one variety of corn seed to each section in that field. This procedure is done for each field. At the end of the growing season, the corn will be harvested, and the yield (measured in tons per acre) will be compared. Which one of the following statements about the design is correct?

a. This is an observational study because the researchers are watching the corn grow.

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c. This is a randomized block design with seed types as blocks and fields as treatments.

d. This is a completely randomized design because the six seed types were randomly assigned to the four fields.

e. This is a completely randomized design with24迟谤别补迟尘别苍迟蝉鈥�6 seed types and 4 fields.

Thirty-five people from a random sample of 125 workers from Company A admitted

to using sick leave when they weren鈥檛 really ill. Seventeen employees from a random

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(a) 0.03卤(0.28)(0.72)125+(0.25)(0.75)68

(b) 0.03卤1.96(0.28)(0.72)125+(0.25)(0.75)68

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(d) 0.03卤1.96(0.269)(0.731)125+(0.269)(0.731)68

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According to sleep researchers, if you are between the ages of 12and 18years old, you need 9 hours 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.

Which of the following is the standardized test statistic for the hypothesis test ?

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Young adults living at home A surprising number of young adults (ages 19

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