The height of President George W. Bush is considered a variable.
MAT135 Introduction to Statistics and Data Analysis
Module 1 TEST
Test #1
NAME_______________________
I. True or False
1. ______________ The height of President George W. Bush is considered a variable.
2. ______________ Probability is used as a basis for inferential statistics.
3. ______________ The variable age is an example of a qualitative variable.
4. ______________ The boundary of a variable such as 6 inches would be 5.5-6.5 inches.
5. ______________ The weight of pumpkins is considered to be a continuous variable.
II. For the following statements, tell whether descriptive or inferential statistics have been used.
6. _______________ The average life expectancy in New Zealand is 78.49 years. (Source: World Factbook 2004)
7. _______________ A diet high in fruits and vegetables will lower blood pressure. (Institute of Medicine)
8. _______________ The total amount of estimated losses from hurricane Hugo was $4.2 billion. (Insurance Service Office)
9. _______________ Researchers stated that the shape of a person’s ears is related to the person’s aggression. (American Journal of Human Biology)
10. ______________ In 2025, the number of high school graduates will be 3.2 million students. (National Center for education)
III. Classify each as nominal-level, ordinal-level, interval-level or ratio-level-data
11. ______________ Ratings of movies as G, PG, and R.
12. ______________ Number of candy bars sold on a fund drive.
13. ______________ Classification of cars as subcompact, compact, standard, and luxury.
14. ______________ Temperatures of hair dryers.
15. ______________ Weights of suitcases on a commercial airline.
IV. Give the boundaries for each value.
16. _______________ 48 seconds
17. _______________ .56 centimeter
18. _______________ 9.1 quarts
9. _______________ 13.7 pounds
20. _______________ 7 feet
V. Classify each as random, systematic, stratified or cluster
21. _______________ To conduct a pre-election opinion poll on a proposed amendment to the state constitution, a random sample of 10 telephone prefixes (first three digits of the phone number) was selected and all households from the phone prefixes selected were called
22. _______________ To maintain quality control in a brewery, every 20th bottle of beer coming off the production line was opened and tested.
23. _______________ Subscribers to the magazine Sound Alive were assigned numbers. Then a sample of 30 subscribers was selected by using a random-number table. The subscriber in the sample were invited to rate new compact disc player for a “What the Subscribers Think” column
24. ________________ To judge the appeal of a proposed television sitcom, a random sample of 10 people from each of three different age categories was selected and those chosen were asked to rate a pilot show.
25. ________________ To evaluate the differences in employee benefits, you select a sample of businesses using the Island Business Directory. Select a random starting place and then use every 50th business listed until you have 100 businesses.
MAT135 Introduction to Statistics and Data Analysis
Module 2 TEST
Test #2 Online
1. Look at the following data of high temperatures for 50 days. The highest temperature is 59 and the lowest temperature is 39. If we were to create a simple frequency distribution of this data we would have 21 temperature values. This is greater than 20 values so we should create a grouped frequency distribution.
Data Set – High Temperatures for 50 Days
57 39 52 52 43
50 53 42 58 55
58 50 53 50 49
45 49 51 44 54
49 57 55 59 45
50 45 51 54 58
53 49 52 51 41
52 40 44 49 45
43 47 47 43 51
55 55 46 54 41
If we use this data and follow the suggestions for creation of a grouped frequency distribution, we would create the following grouped frequency distribution. Note that we use an interval size of three so that each class interval includes three score values. Please complete the distribution below. (50) pts.
Grouped Frequency Distribution for High Temperatures
Class Interval Tally Frequency Percentages Central Angles Cumulative
Frequency
////// 6 12% 6
54-56 /////// 7 13
51-53 22%
///////// 9 64.8
45-47 7
////// 43.2
39-41 4
Totals
2. Distribution of salaries of the ACME Corporation
a.) What is the approximate number of employees who earn between $33,000 and $43,000 annually?
b.) There are approximately 2,700 employees of ACME Corporation. About what percentage of employees earn over $76,999?
c.) The largest percentage of employees earn between $44,000-$54,000. Which 2 salary ranges have roughly an equal amount of employees?
2. The pie chart below shows the ingredients used to make a sausage and mushroom pizza. The fraction of each ingredient by weight is shown in the pie chart below. We see that half of the pizza’s weight comes from the crust. The mushrooms make up the smallest amount of the pizza by weight, since the slice corresponding to the mushrooms is smallest. Note that the sum of the decimal sizes of each slice is equal to 1 (the “whole” pizza”).
a.) Sauce and cheese combine to form what percentage of the pizza?
b.) What would be the Central Angle for the Cheese portion of the pizza?
MAT135 Introduction to Statistics and Data Analysis
Module 4 TEST
Test 3
Name _______________________________
1. According to the National Bureau of Economic Research, the lengths of business cycles from 1919 to 1995, measured from trough to trough (a trough is the low point) in months, were
61 38 46 50 74 73 98 58
65 57 44 127 62 74 38 110
a.) Find the Mean
b.) Find the Median
c.) Find the Mode
d.) Find the Midrange
e.) Find the Standard Deviation
2. The densities of selected gases in kilograms per cubic meter are
Air 1.22 Neon 0.95
Carbon Dioxide 2.03 Nitrogen 1.30
Carbon monoxide 1.30 Nitrous Oxide 2.05
Helium 0.23 Oxygen 1.48
Hydrogen 0.14 Propane 2.07
Methane 0.77 Sulfur Dioxide 2.98
a.) Find the Mean
b.) Find the Median
c.) Find the Mode
d.) Find the Midrange
e.) Find the Standard Deviation
3. It has been claimed that for samples of size n=10 the range should be roughly three times as large as the standard deviation. Check this claim with reference to the following test scores, which 10 students obtained on an examination: 73, 86, 68, 67, 87, 80, 60, 76, 71, and 82. (10 points)
MAT135 Introduction to Statistics and Data Analysis
Module 6 TEST
Test #4
Name _______________________________
1. An apartment building has 20 two-bedroom apartments and 8 three-bedroom apartments. If 4 apartments are chosen at random to be redecorated, what are the probabilities that
a) All will be two-bedroom apartments ?
(b) 2 will be two-bedroom apartments and 2 will be three-bedroom apartments ?
2. A bowl contains 33 red beads, 11 white beads, 9 blue beads, and 15 black beads. If one bead is drawn at random, what are the probabilities of getting
(a) a red bead
(b) a bead that is white or black
C) a bead that is neither red nor black
3. A carton of 18 lightbulbs includes 5 that are defective. If two bulbs are drawn at random, what are the probabilities that
(a) neither bulb will be defective
(b) exactly 1 bulb will be defective
(c ) both bulbs will be defective
4. If three cards are drawn from a well-shuffled deck of 52 playing cards, what are the probabilities of getting
a) three diamonds
(b) an Ace, a Queen, and a King
MAT135 Introduction to Statistics and Data Analysis
Module 7 TEST
Test # 5
Name _______________________________
1. Find the probabilities that a random variable will take on a value between 10 and 20 given that it has a normal distribution with:
(a) Mean = 10 and s = 5
(b) Mean = 20 and s = 10
2. Find z if
(a) the normal curve area between 0 and z is 0.4884
(b) the normal curve area to the right of z is 0.8665
3. For each of the cases below, involving areas under the standard normal curve, decide whether the first area is bigger, the second area is bigger, or both areas are equal.
(a) The area to the left of z = 0, or the area to the right of z = 0.1
(b) the area between z = -0.3 and 0.3, or the area between z = -0.5 and 0.5
4. Find the area under the standard normal curve which lies
(a) to the left of 0.47
b) to the right of z = -0.06
( c) to the right of z = 2.53
(d) to the left of z = -1.31
(e) between z = 0.72 and z = 1.59
(f) between z = -0.11 and z = 2.48
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