Order Introduction Of Statistics Assignment

1) Explain how the researchers accounted for potential bias in their study. [4 POINTS]

2) Provide an explanation for why “Scores” is the response variable. [5 POINTS]

3) Determine the mean of each of the sample groups (round to nearest tenth). SHOW YOUR WORK. [8 POINTS; 4 POINTS EACH]

Hours ( ): __________

Scores ( ): __________

4) Using the other two measures of central tendency, explain whether or not (a) Hours and (b) Scores are normally distributed. [6 POINTS; 3 POINTS EACH]

a)

Order Introduction Of Statistics Assignment

RM 150 Introduction to Statistics

Mr. Smith 30 April 2020

2

5) Create a scatterplot that reflects the data in the table. [5 POINTS]

6) State your observations from the scatterplot. What can you say about the relationship between Hours and Scores? [5 POINTS]

7) Verify that the standard deviation of Hours is 2.28. [10 POINTS]

n x x – x (x – x)2

1

2

3

4

5

[WORK SPACE]

Sum of Squares (SS): ________

s: __________

RM 150 Introduction to Statistics

Mr. Smith 30 April 2020

Order Introduction Of Statistics Assignment

8) The correlation coefficient of the relationship between Hours and Scores is r = 0.96. VERIFY that this is correct by calculating the r value, using the table below. Note that mean

and standard deviation information is below. [10 POINTS]

Write the verified correlation coefficient for the data.

9) The equation for the least squares regression line is as follows:

ŷ = 54.11 4.42x

a) What does the 4.42 mean in the context of the scenario? [4 POINTS]

b) What does the 54.11 mean in the context of the scenario? [4 POINTS]

c) If a student meditates 4 hours per week, what is there predicted math exam score? [4 POINTS]

RM 150 Introduction to Statistics

Mr. Smith 30 April 2020

4

Use the following scenario to respond to items 10-13. Show all steps.

The following data represent the number of different communication activities (e.g., cell phone,

text messaging, e-mail, Internet, and so on) used by a random sample of teenagers over the past

24 hours.

10) What is the probability that a participant is male or uses no communication activities? [5 POINTS]

11) What is the probability that a participant is female and uses 5 or more activities? [5 POINTS]

12) What is the probability that a male participant uses 1-2 communication activities? [5 POINTS]

13) What is the probability that a participant who uses 3-4 communication activities is female? [5 POINTS]

Order Introduction Of Statistics Assignment

Use the following scenario to respond to items 14-16. Show all steps.

You are invited to play a spinner game to the right. The

probabilities to land on each of the sections is as follows:

A: 25% B: 12.5% C: 12.5% D: 50%

The amount you win for landing on each section is listed. It costs

$1.00 to play each time.

14) What is the probability of landing on either A or D? [5 POINTS]

15) What is the probability of landing on anything other than C? [5 POINTS]

16) What is the expected value for this game? [5 POINTS]

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