Order Introduction Of Statistics Assignment

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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