Statistics 13A – Summer Session II 2009
Sample Midterm 1
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Which of the following in not an element of inferential statistics?
A) identification of patterns in the data
B) the population of interest
C) a measure of reliability for an inference made about the population
D) using data obtained from a sample of the population
E) one or more variable that are to be investigated
2) A summary measure that is computed from a population to describe a characteristic is called
A) a statistic.
B) a variable.
C) a census.
D) a parameter.
E) a data file
3) A high school guidance counselor analyzed the data from a sample of 600 community colleges
collected from throughout the United States. One of his goals was to estimate the annual tuition
costs of community colleges in the United States. Identify the population of interest to the
guidance counselor.
A) all community colleges in the United States
B) all high school guidance counselors
C) community college tuition
D) all students attending community colleges in the United States
E) the sample of 600 community colleges
4) When each of its observations belong to one of a set of categories, a variable is called
A) qualitative.
B) categorical.
C) discrete.
D) both a. and b.
E) all of the above.
5) Brandon kept track of the number of hours he spent exercising each week. The results for four
months are shown below. Find the mean number of hours Brandon spent exercising per week.
Round your answer to two decimal places.
A) 8.01
B) 7.79
C) 8.25
D) 7.38
E) 7.30
A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency
histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to
answer the question. The blood pressure readings were given to the nearest whole number.
6) Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading
less than 120?
A) 15%
C) 3.5%
D) 35%
E) 5%
B) 50%
7) A relative frequency histogram for the heights of a sample of adult women is shown below.
Identify the overall shape of the distribution.
A)
B)
C)
D)
E)
Bimodal
Bell-shaped
Multimodal
Right skewed
Left skewed
8) The book cost (in dollars) for one semester's books are given below for a sample of five college
students. Calculate the sample variance of the book costs.
340, 170, 145, 420, 120
A) 876.40
B) 160,482.50
D) 136.250
E) 89,021.50
C) 17,680.00
9) Scores on a test have a mean of 73 and a standard deviation of 9. Michelle has a score of 91.
Convert Michelle's score to a z-score. Round to the nearest hundredth.
A) -2.00
B) 1.00
C) 18.00
D) -18.00
E) 2.00
10) Suppose you were to collect data for the pair of given variables in order to make a scatterplot.
Determine for each variable if it is the explanatory variable or the response variable.
Variables: Minutes of homework, grade on exam
A) Minutes of homework: explanatory variable
Grade on exam: response variable
B) Minutes of homework: response variable
Grade on exam: explanatory variable
C) Minutes of homework: response variable
Grade on exam: both
D) Minutes of homework: both
Grade on exam: response variable
E) Minutes of homework: explanatory variable
Grade on exam: both
11) The partially filled contingency table gives the frequencies of the data on age (in years) and sex
from the residents of a retirement home.
Age (yrs)
60-69
70-79
Over 79
Total
Male
11
9
5
Female
9
2
4
Total
Given that the resident is male, what is the proportion of residents in the age group 60-69?
A) 0.35
C) 0.50
D) 0.60
E) 0.55
B) 0.44
12) Four pairs of data yield r = 0.942 and the regression equation yˆ  3x . Also, y  12.75 . What is
the best predicted value of y for x=2.9 ?
A) 12.75
B) 11.6
C) 0.942
D) 2.826
E) 8.7

difference between
13) The prediction error for an observation, which is the
the actual value and the
predicted value of the response variable, is called ____________________.
A) a residual
B) an extrapolation
C) a correlation
D) an intercept
E) an outlier
14)
A)
= 12;
= 1.00
B)
= 12;
= 2.00
C)
= 48;
= -18.00
D)
= 3;
= 0.50
E)
= 3;
= 1.00
15) A stock analyst selects a stock from a group of twenty for investment by choosing the stock with
the greatest earnings per share reported for the last quarter. What type of study is this?
A) Experimental
B) Observational
C) Hypothetical
D) Implied
E) Unknown
16) Given a group of students: Allen (A), Brenda (B), Chad (C), Dorothy (D), and Eric (E), list all of
the possible samples (without replacement) of size four that can be obtained from the group.
A) ABCD, ABCE, ACDE, ADEB, BCDE, BCEA, BDEA, CABD, CEDB, DACE
B) ABCD, ABCE, ACDE, ADEB, BCDE
C) ABCD, ABCE, ABDE
D) ABCD, ABCE, ACDE, ADEB
E) ABCD
17) The name of each contestant is written on a separate card, the cards are placed in a bag, and
three names are picked from the bag. What type of sampling is this?
A) Convenience
B) Matched pair
C) Stratified
D) Random
E) Cluster
18) The table below describes the smoking habits of a group of asthma sufferers.
What is the probability that a woman is a nonsmoker?
A) 0.345
B) 0.297
C) 0.479
D) 0.490
E) 0.703
19) Two shipments of components were received by a factory and stored in two separate bins.
Shipment (I) has 2% of its contents defective, while shipment (II) has 5% of its contents defective.
If it is equally likely an employee will go to either bin and select a component randomly, what is
the probability that a defective component came from shipment (II)?
A) 0.286
B) 0.2
D) 0.384
E) 0.5
C) 0.714
20) 60% of students at one college drink coffee, and 16% of people who drink coffee suffer from
insomnia. What is the probability that a randomly selected student drinks coffee and suffers
from insomnia?
A) 0.16
B) 0.96
C) 0.76
E) 0.664
D) 0.096
TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false.
21) A distribution that has the right tail longer that the left tail is called right skewed.
T
22) Based on 12,000 responses from 55,000 questionaires sent to its alumni, a major university
estimated that the annual salary of its alumini was $98,500 per year. Would this sampling
provide a random sample?
F
23) Descriptive statistics refers to methods of making decisions or predictions about a population,
based on data obtained from a sample of that population; while, inferential statistics refers to
methods for summarizing the data.
F
24) In skewed distributions, we expect the values of the mean, median, and mode to be
approximately equal, since they are all measures of center.
F
25) If P(A) = 0.4, P(B) = 0.5, and P(A∩B) = 0.20, then the events A and B are independent.
T
26) In studying the association between two variables, the data analysis examines how the outcome
of the response variable depends on the value of the explanatory variable.
F
27) The closer r is to 0, the weaker is the linear association between the variables.
T
28) It is not possible to establish cause and effect definitively with observational studies.
T
29) The plastic arrow on a spinner for a child's game stops rotating to point at a color that will
determine what happens next. The following probability assignment is possible.
F
Probability of ...
30) For independent events A and B, P(A|B) = P(A). T