LC MAT135 All Tests Latest 2022 April

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