Mathematics - Statistics Assignment

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Assignment5DescribingDataSpring2024Student.docx

Assignment #5 – Describing Data – Spring 2024

1. For the table below, fill in the missing sections for the Mean, Median, Mode, Range, and Standard Deviation on your own. For this task, round to two decimal places. Hint: Put the data into SPSS to simplify the standard deviation calculation! Use the “Means” test under Analyze. Include the correct “options”. Then complete the five questions and transfer your answers to the quiz in Canvas. (One point per question)

Condition 1 Scores

Condition 2 Scores

15

15

12

12

13

14

13

14

17

10

19

18

14

13

17

16

18

14

13

12

12

13

18

17

14

18

14

18

16

14

Column Mean

Column Median

Column Mode(s)

Standard Deviation

Column Range

1. The correct mean for Condition One is ______ while the correct mean for Condition Two is ______:

A. 7 and 8

B. 14.83 and 15

C. 2.31 and 2.44

D. 14.53 and 15.00

E. 15.00 and 14.53

2. The correct standard deviation for Condition One is _______ while the correct standard deviation for Condition Two is _______

A. 2.33 and 15.00

B. 2.45 and 2.33

C. 2.33 and 2.45

D. 2.36 and 14.50

E. 7 and 8

3. Which of the following is true about the mode?

A. Condition One has one mode and Condition Two has two modes.

B. Condition One has two modes while Condition Two has one mode.

C. Condition One has one mode and Condition Two has one mode.

D. Condition One has two modes and Condition Two has two modes.

Imagine you ran a t-test on this data to see if Condition One differs significantly from Condition Two. You got the following Independent Samples Test table:

Independent samples t test table

4. What is the best interpretation for this two-sided t-Test?

A. It was significant, t(28) = 0.54, p = .597

B. It was significant, t(28) = 9.52, p = .004

C. It was significant, t(27.94) = 0.54, p = .597

D. It was not significant, t(28) = 0.54, p = .597

E. It was not significant, t(28) = 0.004, p = .952

5. Use the Independent Samples Test table as well as your findings for the mean and SDs (from questions #1 and #2) and the two-sided t-Test write-up from question #3 to determine which of the following t-Test write-ups is correct:

A. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was significant, t(28) = 0.54, p = .005. Scores were significantly higher in condition 1 ( M = 15.00, SD = 2.33) than in condition 2 ( M = 14.53, SD = 2.45).

B. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was significant, t(27.94) = 0.54, p = .005. Scores were significantly higher in condition 1 ( M = 15.00, SD = 2.33) than in condition 2 ( M = 14.53, SD = 2.45).

C. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was not significant, t(28) = 0.004, p = .952. Scores did not differ significantly between condition 1 ( M = 15.00, SD = 2.33) and condition 2 ( M = 14.53, SD = 2.45).

D. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was not significant, t(28) = 0.54, p = .597. Scores did not differ significantly between condition 1( M = 14.53, SD = 2.45) and condition 2 ( M = 15.00, SD = 2.33).

E. We ran an independent samples t-Test with score as the dependent variable and condition (1 versus 2) as the independent variable, which was not significant, t(28) = 0.54, p = .597. Scores did not differ significantly between condition 1 ( M = 15.00, SD = 2.33) and condition 2 ( M = 14.53, SD = 2.45).

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