Robert knows from reading his syllabus in intermediate algebra that the average of his chapter tests accounts for 60 % ( 0.6 ) of his overall course grade. He also knows that the final exam counts as 40 % ( 0.4 ) of his grade. Suppose that the average of Robert’s chapter tests is 89 % . a. Determine the range of grades that he would need on his final exam to get an “ A” in the class. (Assume that a grade of“A” is obtained if Robert’s overall average is 90 % or better.) b. Determine the range of grades that Robert would need on his final exam to get a “B” in the class. (Assume that a grade of “ B” is obtained if Robert’s overall average is at least 80 % but less than 90%.)
Robert knows from reading his syllabus in intermediate algebra that the average of his chapter tests accounts for 60 % ( 0.6 ) of his overall course grade. He also knows that the final exam counts as 40 % ( 0.4 ) of his grade. Suppose that the average of Robert’s chapter tests is 89 % . a. Determine the range of grades that he would need on his final exam to get an “ A” in the class. (Assume that a grade of“A” is obtained if Robert’s overall average is 90 % or better.) b. Determine the range of grades that Robert would need on his final exam to get a “B” in the class. (Assume that a grade of “ B” is obtained if Robert’s overall average is at least 80 % but less than 90%.)
Solution Summary: The author calculates the range of marks that Robert needs to score in his final exam to get an A grade.
Robert knows from reading his syllabus in intermediate algebra that the average of his chapter tests accounts for
60
%
(
0.6
)
of his overall course grade. He also knows that the final exam counts as
40
%
(
0.4
)
of his grade. Suppose that the average of Robert’s chapter tests is
89
%
.
a. Determine the range of grades that he would need on his final exam to get an “ A” in the class. (Assume that a grade of“A” is obtained if Robert’s overall average is
90
%
or better.)
b. Determine the range of grades that Robert would need on his final exam to get a “B” in the class. (Assume that a grade of “ B” is obtained if Robert’s overall average is at least
80
%
but less than 90%.)
During their freshman year, Derek's GPA was 3.5 and Terry's was 3.1. During their sophomore year,
Derek's GPA was 3.6 and Terry's was 3.5. Which of the following is not necessarily true?
Choose the correct answer below.
A. Terry's overall GPA for the two year-period was somewhere between 3.1 and 3.5.
B. Terry's overall GPA for the two-year period could be lower, higher or the same as Derek's
overall GPA for the two-year period.
C.
Derek's overall GPA for the two year-period was somewhere between 3.5 and 3.6.
D. Terry had a lower GPA than Derek during their freshman year and again in their sophomore
year.
E. Derek's overall GPA for the two-year period was higher than Terry's because their GPA's may
have been weighted differently.
OF. Derek had a higher GPA than Terry during their freshman year and again during their
sophomore year.
Emily scored 50% higher on the SAT than Joshua. This means that
A. Joshua score was 50% lower than Emilys
B. Josuha's score was half of Emily's
C. Joshua's score was two-thirds of Emily's
Show work
You recently received a job with a company that manufactures an automobile anti theft device. To conduct an advertising campaign for the product, you need to make a claim about the number of automobile thefts per year. Since the population of various cities in the United States varies, you decide to use rates per 10,000 people. (The rates are based on the number of people living in the cities.) Your boss said that last year the theft rate per 10,000 people was 44 vehicles. You want to see if it has changed. The following are rates per 10,000 people for 36 randomly selected locations in the United States. Assume σ = 30.3.
U s e α = 0.05
Car Thefts
55
42
125
62
134
73
39
69
23
94
73
24
51
55
26
66
41
67
15
53
56
91
20
78
70
25
62
115
17
36
58
56
33
75
20
16
Use the traditional method to conduct the hypothesis test.
a/ Write the conjuncture
b/ Find the critical value(s)
c/ Find the test value
d/ Make a decision
e/ Write the summary
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