# Maths Final Exam Assignment Questions

Name

________________________________ Date __________

1.

____ A college administrator is concerned over stories that the overall

average grade for all college students in the U.S. is not 75%. Assuming the administrator took a random

sample and wanted to perform a test, which of the following statements is true.

a. The null

hypothesis should state that H0: u

= 75, while the alternate hypothesis should be Ha: u ¹ 75

b. It is a two

tailed test where the null hypothesis states H0: u = 75 and the

alternate hypothesis states that Ha: u <75
c. It is a two
tailed test where the null hypothesis states H0: u = 75 and the
alternate hypothesis states that Ha:
u >75

d. The null

and alternate hypothesis cannot be determined.

2.

____ The average cost of tuition, room and

board at small private liberal arts colleges is reported to be $8,500 per term,

but a financial administrator believes that the average cost is higher. A study conducted using 150 small liberal

arts colleges showed that the average cost per term is $8,745 with a standard

deviation of $1,200. Leta = 0.05.What is the null and alternative

hypotheses for this study?

a. Null:

m= $8,745; alternative:m > $8,745

b. Null:

m= $8,745; alternative:m < $8,745
c. Null:
m= $8,500; alternative:m > $8,500

d. Null:

m= $8,500; alternative:m < $8,500
3.
____ In the regression equation, what does
the letter "b" represent?
A) Y
intercept
B) Slope of the
line
C) Any value of
the independent variable that is selected
D) Value of Y
when X=0
4. ____ Which is not a step in
hypothesis testing?
a. compute the test
statistics
b. determine the decision
rule
c. write the null hypothesis
d. compute the population
mean
5. ____ The ANOVA test is used
when:
a. N<120
b. population standard
deviation is known
c. there are more than two
groups of data
d. the correlation
coefficient is greater than .8
6. ____ The degrees of freedom
in the single sample t test for is calculated by:
a. N-1 b. square root of the mean c. N d. s2
7.
____ Your decision was to reject the null hypothesis and the correct
decision was to reject the null hypothesis.
Which describes your decision?
a. Type I error
b. p = beta (b)
c. Type II error
d. p = 1 - beta
(b)
8.
____ In ANOVA, the null hypothesis is:
A) Ho:s21 =s22=s23
B) Ho:s21¹s22¹s23
C) Ho:m1 =m2=m3
D) Ho:m1¹
m2¹m2
9.
____ What is the chart called when the
paired data (the dependent and independent variables) are plotted?
A) Scatter
diagram B)
Bar chart C) Pie chart D) Histogram
10. ____ What condition would
need to be present to prevent you from conducting a t test for the difference
of paired scores?
a. unequal n’s in the
variables
b. having the same person
before and after
c. the means of the two
groups be different from each other
d. degrees of freedom
greater than 120
11.
Aircraft tires were examined to see their
temperature after landing and breaking.
New were developed to decrease the amount of heat retained. The same aircraft were used with the left
wheel having the old tire and the right wheel with the new tire; with both
tires flown at the same time. Test to
see if there is a difference in tire temperatures. (show all steps of hypothesis testing)
Old tire
New Tire
190
198
140
130
210
185
105
106
175
170
200
180
161
140
Use
the below information for the next question.
The
table below shows the gender and the percentage of each gender that spent
different amounts at local toy store.
0- to $20
$20 to $50
Greater than $50
Male shopper
18%
49%
33%
Female shopper
20%
62%
18%
12. Test at the .05 if there is
significant difference between the proportions of shoppers. (show all steps of
hypothesis testing)
Use the
following information to answer the next 2 questions.
One of several aircraft
manufactures of fuel parts claims that their part will withstand heat
temperatures below the mean temperature of all other manufactures
combined. The means temperature of all
manufactures is -30 degrees.
13. What test would be used?
14. What is the null and
alternative hypothesis?
15.
What happens to type I error if multiple t tests
are done rather than ANOVA?
16.
Complete the below table
Source of
Variation
SS
df
MS
F
Between Groups
19138.61538
2
Within Groups
731916.4615
36
Total
17. A manufacturer is testing the days it takes for a new synthetic rubber
seal to breakdown at different temperatures.
They believe that it takes less number of days at a temp of 250 degrees
to fail. Test this hypothesis using all the
steps of hypothesis testing using a level of significance of .05. (show all steps of hypothesis testing)
Temp150
Temp200
Temp250
4
2
1
7
8
3
10
11
5
13
12
6
18
17
9
21
19
4
22
20
5
24
23
6
18. Suppose the
least squares regression equation is Y' = 1202 + 1,133X. When X
= 3, what does Y' equal?
For
next 4 questions, use this information: A very weird professor wants to see the
effect of studying has on test scores.
He surveyed a group of students on their study time and compared it to
the test scores. The information is
below.
Hours studying
Test score
3
8
1
2
4
4
2
6
2
2
3
4
3
7
4
6
1
4
4
8
4
7
19. For
the data, would you reject or retain the null hypothesis with alpha =.05?
20. What
is the value of the slope?
21. Write
out the entire regression equation
22. Predict
the test score would someone expect to receive if they studied for 5 hours.

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