Name: ___________________________________________ Date: _______________________________ Period: ____
CHS Statistics
Midterm Review
CHAPTER 1:
1 – 2: Determine whether the value is a parameter or a statistic.
1) The 2006 team payroll of the New York Mets was $101,084,963.
2) In a survey of 752 adults in the Unites States, 42% think there should be a law that prohibits people from talking on
cell phones in public places.
3 – 5: Classify the data as categorical or quantitative.
3) The number of students in a classroom
4) The Social Security numbers of employees at a corporation
5) The ages of a sample of 350 employees of a software company
6 – 9: Classify the data set by its level of measurement.
6) The stages of development of an infant
7) The number of cows in a field
8) A list of college majors
9) The daily low temperatures for a week in July
10 – 13: Decide whether the following are discrete or continuous random variables.
10) x represents the number of highway fatalities in one year in Texas.
11) x represents the volume of blood drawn for a blood test.
12) x represents the number of blackouts in California last summer.
13) x represents hours spent on a sales call.
14 – 17: Decide which method of data collection you would use to gather data for each study.
14) A study on the effect of calcium intake on women with Osteoporosis.
15) The political party affiliation of people living in Jackson Township.
16) A study of the mannerisms of high school students when taking an exam.
17) A study of how second-hand smoke affects pregnancy.
18 – 21: Identify the sampling technique used in each collection. Explain your reasoning.
Study: Students from Seneca Valley Senior High were asked whether they plan to go to college.
18) Students are ordered by ID numbers, and then every 30th student is questioned after a random starting point was
selected.
19) Students are separated by family income level, and then 50 students from each group are selected.
20) Students are labeled by a number, and selected using a random number generator.
21) Five streets are randomly selected in a plan, and then every household located on each of those five streets are
questioned.
22: Identify any source of bias in the following survey.
22) A Gallup poll found that 81% of U.S. parents say they have spoken with their teenagers about the dangers of
drinking and driving. Only 64% of the teens say they remember such a discussion.
Chapter 2:
23) Create a stemplot of the following data which represent the ages of students in an evening cooking class at Butler
Community College. Then create a boxplot. Determine if there are any outliers.
22
26
29
31
31
34
44
46
48
59
60
71
24) The following data represent the lifetime in minutes (rounded to the nearest minute) of thirty AA batteries that
were randomly selected and tested. Fill in the chart below using 6 classes. Then calculator the mean, median,
mode, range, and standard deviation.
423
401
410
411
405
390
371
381
394
Classes
409
428
369
431
372
Tallies
391
386
Freq
400
387
Midpoint
415
389
396
408
419
363
Relative Freq.
393
382
377
399
392
422
Cumul. Freq
25 – 31: Write the symbol for each of the following:
25) The sample number of entries
26) The population mean
27) Summation
28) The sample standard deviation
29) The population number of entries
30) The sample mean
31) The population standard deviation
32) There are 45 high school juniors who earn $80 weekly and 140 seniors earn $110 weekly at their job. What is the
mean of the combined group of juniors and seniors?
33) What percentile is 𝑄3 ? 𝑄1 ?
34) Sketch a histogram to model each of the following: uniform, bimodal, unimodal and symmetric, skewed right, and
skewed left.
35) What do z-scores describe?
36) Sarah earned a 55 on the English Test and Drake earned a 75. The mean of the English test is a 73 with a standard
deviation of 8. What are the students’ z-scores?
Chapter 3:
37) You roll a die and flip a coin.
a. List the sample space.
b. Find the probability of:
i. Flipping a head
ii. Rolling an even number and flipping a tail
iii. Rolling a number greater than four or flipping a head.
38) A random sample of 250 working adults found that 37% drive a truck to work, 36% drive a red vehicle to work, and
12% drive a red truck. What is the probability that a person is randomly picked and they drive a truck OR a red
vehicle?
39) You select two cards from a standard deck. Find the probability of…
a. selecting a four, not replacing the card, and then selecting a jack.
b. selecting an ace, replacing the card, then selecting a heart.
40) Decide whether the following are independent or dependent events:
a. Picking a four and picking a queen without replacement.
b. Tossing a coin and getting a tail, and then rolling a six-sided die and getting a 4.
c. Cubes are numbered between 1 and 50 and put into a basket. A cube is chosen put back and then a second
numbered cube is selected from the bin.
41) Use the chart below to answer the following questions:
Men
Women
Total
Play sports
176
162
338
Does not play sports
113
102
215
Total
289
264
553
a. P(S) =
b. P(S|W) =
c. P(S ∩ W) =
d. P(S U M) =
f. P (W | S) =
d. P( W ∩ W) =
42) Twenty horses are running in a race. How many ways can they finish first, second, and third?
43) Five players on a basketball team must choose a player on the opposing team to defend. How many ways can they
choose their defensive assignment?
44) From a group of 45 people, a choir of 16 people is selected. How many different ways can a choir of 16 people be
selected?
45) A batch of 350 raffle tickets contains four winning tickets. You buy four tickets. What is the probability you have…
a. no winning tickets?
b. all winning tickets?
c. 1 winning ticket?
Chapter 4/5:
46) How do know when to use each distribution:
Binomial:
Geometric:
Normal:
47) Find the mean and standard deviation of the following probability distribution of the number of busy phone lines.
x
0
1
2
3
4
5
6
P(x)
0.052
0.154
0.232
0.24
0.174
0.105
0.043
48) A ski resort loses $70,000 per season when it does not snow very much and makes $250,000 profit when it does
snow a lot. There is a 0.40 probability of it snowing at least 75 inches (a good season) this year. What is the ski
resorts expected profit this season?
49) A study conducted at Seneca Valley Senior High School shows 70% of graduating seniors continue their education by
attending a 4-year college or attending a community college. Find the probability that among 12 randomly selected
seniors at Seneca…
a. at least 6 will continue their education beyond high school.
b. at most 4 continue their education beyond high school.
c. Calculate the mean and standard deviation of the distribution.
50) Jason is rolling a die. What is the probability of rolling a 1…
a. on the 5th roll?
b. no more than 7 rolls?
c. at least on the 3rd roll?
51) To be eligible for the U.S. Marine Corps, a woman must have a height between 58 and 73 in. Women have normally
distributed heights with a mean of 63.6 in and a standard deviation of 2.5 in.
a. Find the percentage of women who satisfy the Marine Corps height requirements.
b. If the requirement is changed to exclude the shortest 1% and the tallest 1%, find the acceptable heights.
c. If nine women are randomly selected, find the probability that their mean height is between 63 in and 65 in.
Chapter 6:
52) A company has set a goal of developing a battery that lasts over 5 hours (300 minutes) in continuous use. A first test
of 12 of these batteries measured the following lifespans (in minutes): 321, 295, 332, 351, 281, 336, 311, 253, 270,
326, 311, and 288.
a. Find a 90% confidence interval for the mean lifespan of this type of battery.
b. If we wish to conduct another trial, how many batteries must we test to be 95% sure of estimating the mean
lifespan to within 15 minutes? To within 5 minutes?