Math 311 Practice Test
1. Researchers want to examine the effect of perceived control on health complaints of geriatric patients in a
long-term care facility. Thirty patients are randomly selected to participate in the study. Half are given a plant to
care for and half are given a plant but the care is conducted by the staff. Below the number of health complaints
are recorded for each patient over the following seven days.
Control over Plant No Control over Plant
23
35
12
21
6
26
15
24
18
17
5
23
21
37
18
22
34
16
10
38
23
23
14
41
19
27
23
24
8
32
2. To test the effect of Prozac on the well-being of depressed individuals, a standardized "well-being scale" is
given to patients before and after they begin taking Prozac. Higher scores indicate greater well-being (that is,
Prozac is having a positive effect). Analyze the results statistically.
Math 311 Practice Test
3. A researcher wanted to study the effects of mentoring on intelligence scores. He wanted to know as a
baseline what the average intelligence of his students were relative to the general population. He used a
standardized IQ test which has a mean of 100 and standard deviation of 16. The 50 students in his study scored
an average of 102 on the IQ test. Statistically analyze this scenario.
4. An elementary school teacher is interested to know if there is a significant difference in the average reading
speed of fifth grade boys and girls. She randomly selects 40 fifth grade boys and 40 fifth grade girls for the
study. She gives each student standardized reading test. The time it takes them to complete the reading is
recorded in minutes below. Analyze this scenario statistically. Also, calculate the statistic without using the
test function on your calculator, and determine its p-value via a table.
Boys
Girls
n
40
40
average
10
11
standard deviations
3
3
5. Barack Obama won 51% of the popular vote in both national elections. Of 45 students in a CWU statistics
class last quarter, 30 stated they voted for Obama. Was the proportion of student voters in that class
significantly higher than the general population? Analyze this scenario statistically.