Attached Test

| October 22, 2018

Test 3

CIT
32000

Altom

Spring 2014

Name_______________________________________

Important Notes:

·
There are parts of the test that rely on
material I covered in class, and may not appear in the book.

·
In cases where I ask you for explanations
or interpretations, I am prepared to accept a wide range of views if
you can provide a strongly reasoned argument. You must convince me. Present
whatever evidence seems compelling.

·
Use these pages as scratch paper. Show
your work on all problems. Use the backs of the pages if necessary.

·
Calculators and stats software may be
used, but show your work wherever possible. I give partial credit for thinking
through problems even if they have the wrong answer.

·
Remember to read the problem carefully
before beginning. Be meticulous and think carefully.

·
Return this test promptly. It must be in
my hands by the beginning of the class period when it is due. I cannot accept
late submissions.

Test 3, CIT 32000, Spring 2014 Altom P. 2

For each
of the following, state which test is most appropriate to the situation. Be
sure to specify the exact test. For example, a paired t-test would not
be appropriate in the same circumstances as an independent t-test. And keep in
mind that “test” may apply to a wide range of procedures, including, for
example, confidence intervals or correlations.

1. A study is conducted to determine if time of day has any
effect on test grades. An introductory psychology class is selected for the
study, because it has a standard curriculum taught across many sections. Two
classes are selected for each time period: 8:00 AM, 1:00 PM, and 5:30 PM. Out
of the total pool of around 40 students for each time period, 15 students are
selected at random, for a total of 45. The test is administered to all
students, and the test results for the study subjects are placed in SPSS. We
want to know if there is a statistical difference between these time periods.
What test is appropriate?

_____________________________________________________________________(5
pts)

2. Hicks law predicts how long it will take a user to pick out
a given element on a website page from among all the other elements on that
page. Because a certain website will be used many thousands of times per year
on an intranet, a major company engages a usability specialist to test whether
the Hicks prediction holds on two proposed home page designs. Because the
company is reluctant to have too many employees absent from work stations, it
specifies that the test can involve only five individuals, and that therefore
the same five people must test both proposed interfaces. We will want to know
if there is a significant difference in the times for each interface. What is
the appropriate test?

_____________________________________________________________________(5
pts)

3. Laparoscopic surgery is a procedure for threading a small
flexible tube within a patient’s body to explore or perform procedures. A
recent study was conducted to see what skills a medical student new to
laparoscopic surgery might have that would predict shorter learning times. One
variable that was gathered was the amount of time a student had spent playing
video games before starting his laparoscopic training. The researcher wants to
see if the time spent gaming can predict the time needed to perfect
laparoscopic skills. What would be the correct test to apply?

_____________________________________________________________________(5
pts)

4. A large company is concerned about turnover, so it
commissions a survey that will be given to a random group of 1000 employees.
The company then wants to get a general idea of what the results would be in
the larger population, but while it will look at significance indicators, it is
not heavily interested in significance, but in an estimate of company-wide
results. What test would be proper to run here?

_____________________________________________________________________
(5 pts)

Test 3, CIT 32000, Spring 2014 Altom P. 3

A study is conducted into time missed from work,
compared with outside temperature. A random sample of 50 employees is extracted
from the human resources attendance database and a correlation is conducted.
There is found to be an r of .311 at an alpha of .05, two-tailed.

5. What is
the critical value of r for the previous paragraph?

_____________________________________________________________________
(5 pts)

6. Is the r
from question 5 significant?

______________________________________________________________________(5
pts)

Refer to
the table below. It gives two sets of figures, a predicted rainfall amount from
a radar image, and an actual rainfall amount as measured by a standard rain
gauge.

(X) Radar Rain
Prediction

(Y) Rain Gauge

3.6

.0

2.0

1.2

1.1

1.2

1.3

1.3

1.8

1.4

2.1

1.4

3.2

2.0

2.7

2.1

2.5

2.5

3.5

2.9

3.9

4.0

3.5

4.9

6.5

6.2

7.3

6.6

6.4

7.8

.jpg”>

Test 3, CIT 32000, Spring 2014 Altom P. 4

7.
Using the data above and the formulas next to the table, calculate r for the
dataset using the method of least squares. (You may use another set of formulas
if you like, but these are relatively simple.) Show your work. Use the back of
the sheets if necessary.

_______________________________________________________________________(10
pts)

8. Interpret the r value of
problem 7. Be thorough.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________
(5 pts)

9. State the r2 value of problem 7 and
interpret. Be thorough in your interpretation

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________
(5 pts)

Test 3, CIT 32000, Spring 2014 Altom P. 5

10. What is
the Y intercept for the data from problem 7?

________________________________________________________________________
(5 pts)

11. What is
the confidence interval of problem 7 for X=3.5 with alpha of .05?

_______________________________________________________________________(10
pts)

12. What is the prediction
interval of problem 7 for X=3.5 with alpha of .05?

_______________________________________________________________________(10
pts)

Test 3, CIT 32000, Spring 2014 Altom P. 6

Refer to the following
charts and tables for the next questions.

This is a comparison of average female life
expectancy around the world, compared with the infant mortality rates.
.jpg”>

200.0

Infant mortality
(deaths per 1000 live births)

150.0

100.0

50.0

0.0

40 50 60 70 80

Average female life expectancy
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Test
3, CIT 32000, Spring 2014 Altom P. 7

13. What is
the n of the samples from the analysis shown above?

_____________________ (5 pts)

14. Is the
association (correlation) in the data above positive or negative?

___________________________ (5 pts)

15. Write the
complete regression equation for the model above. Do not include the random
error term.

_____________________________________________________
(5 pts)

16. Is regression or correlation
an appropriate test for the dataset above? Explain.

____________________________________________________________________________

____________________________________________________________________________

_______________________________________________________________________
(10 pts)

Extra Credit (up to 10 pts)

A survey
was taken about whether students and staff parked in lots, or parked in
garages. The task now is to see if the differences are significant, and
whatever else the data can reveal.

Calculate
the chi-square, along with the critical value and significance, of the
following data. Show your work. Interpret the result as thoroughly as you can.

Instructors

Students

Totals

Parked
in Lots

80

68

Parked
in Garages

45

57

Totals

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