Time to Practice – Week One

Feb 28th, 2014
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Question description

Some questions in Part A require that you access data from Statistics for People Who (Think They) Hate Statistics. This data is available on the student website under the Student Test Resources link.

1.  By hand, compute the mean, median, and mode for the following set of 40 reading scores:

SUMMARY

31

32

43

42

24

34

25

44

23

43

24

36

25

41

23

28

14

21

24

17

25

23

44

21

13

26

23

32

12

26

14

42

14

31

52

12

23

42

32

34

2.  Compute the means for the following set of scores saved as Ch. 2 Data Set 3 using IBM®SPSS® software. Print out a copy of the output.

Hospital size (number of beds)

Infection rate (per 1,000 admissions)

234

1.7

214

2.4

165

3.1

436

5.6

432

4.9

342

5.3

276

5.6

187

1.2

512

3.3

553

4.1

3.  You are the manager of a fast food store. Part of your job is to report which special is selling best to the boss at the end of each day. Use your knowledge of descriptive statistics and write one paragraph to let the boss know what happened today. Use the following data. Do not use IBM®SPSS®software to compute the statistics needed; rather, do it by hand. Include a copy of your work.

Special number

Sold

Cost

Huge Burger

20

$2.95

Baby Burger

18

$1.49

Chicken Littles

25

$3.50

Porker Burger

19

$2.95

Yummy Burger

17

$1.99

Coney Dog

20

$1.99

Total specials sold

119

4.  Suppose you are working with a data set that has some different (much larger or much smaller than the rest of the data) scores. What measure of central tendency would you use and why?

5.  For the following set of scores, compute the range, the unbiased and the biased standard deviations, and the variance. Do the exercise by hand.

31, 42, 35, 55, 54, 34, 25, 44, 35

Why is the unbiased estimate greater than the biased estimate?

6.  Use IBM®SPSS®software to compute all the descriptive statistics for the following set of three test scores over the course of a semester. Which test had the highest average score? Which test had the smallest amount of variability?

Test 1

Test 2

Test 3

50

50

49

48

49

47

51

51

51

46

46

55

49

48

55

48

53

45

49

49

47

49

52

45

50

48

46

50

55

53

7.  This practice problem uses the data contained in the file named Ch. 3 Data Set 3. There are two variables in this data set.

Variable

Definition

Height

Height in inches

Weight

Weight in pounds

Using IBM®SPSS®software, compute all of the measures of variability you can for height and weight.

8.  Review the following frequency distribution. Create a histogram either by hand or by using some other application such as a Microsoft®Excel®document.

Class interval

Frequency

90–100

12

80–89

14

70–79

20

60–69

24

50–59

28

40–49

29

30–39

21

20–29

15

10–19

17

0–9

12

9.  A third-grade teacher is looking to improve her students’ level of engagement during group discussions and instruction. She keeps track of each of the 15 third graders’ number of responses every day for 1 week. This information is available in Ch. 4 Data Set 2. Use IBM®SPSS®software to create a bar chart (one bar for each day).

10.  Identify whether these distributions are negatively skewed, positively skewed, or not skewed at all, and why.

a.  This talented group of athletes scored very high on the vertical jump task.

b.  On this incredibly crummy test, everyone received the same score.

c.  On the most difficult spelling test of the year, the third graders wept as the scores were delivered.

11.  For each of the following, indicate whether you would use a pie, line, or bar chart, and why.

a.  The proportion of freshmen, sophomores, juniors, and seniors in a particular university

b.  Change in GPA over four semesters

c.  Number of applicants for four different jobs

d.  Reaction time to different stimuli

e.  Number of scores in each of 10 categories

From Salkind (2011). Copyright © 2012 SAGE. All Rights Reserved. Adapted with permission.

Part B

Complete the questions below. Be specific and provide examples when relevant.

Cite any sources consistent with APA guidelines.

Question

Answer

Salkind (2011) describes statistics as a “set of tools” (p. 18). How do behavioral scientists use those tools?

How would you use descriptive statistics to report the effectiveness of a baseball team? How would you use inferential statistics to report the effectiveness of a baseball team? In this example, what is the sample and what is the population?

What does a measure of central tendency tell us about a data set? Identify the three common measures of central tendency used in descriptive statistics and give an example of each. How do you calculate them?

What is variability in a data set? Identify three measures of variability used in descriptive statistics, explain how to calculate each, and give an example of each.


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