Consider the following data set, where the same people indicated how many siblings they have (X) and how happy they are in their lives (Y) (higher numbers for Y indicate greater happiness scores).
Consider the following data set, where the same people indicated how many siblings they have (X) and how happy they are in their lives (Y) (higher numbers for Y indicate greater happiness scores).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
Consider the following data set, where the same people indicated how many siblings they have (X) and how happy they are in their lives (Y) (higher numbers for Y indicate greater happiness scores).
Participant |
X |
Y |
zX |
zY |
zXzY |
A |
1 |
2 |
|
|
|
B |
4 |
7 |
|
|
|
C |
3 |
5 |
|
|
|
D |
2 |
1 |
|
|
|
E |
5 |
14 |
|
|
|
F |
3 |
7 |
|
|
|
n = 6 |
MX = 3.00 |
MY = 6.00 |
|
|
S zXzY = |
|
SX = 1.41 |
SY = 4.65 |
|
|
r = |
Test whether there is a significant
- a) State the hypotheses (H0 and H1).
- b) Find the critical value for α = .05, 2-tailed, using the table of critical values for r at the appropriate df.
- c) Compute the test statistic (Pearson’s r) by filling in the rest of the information in the table (i.e., zX, zY, their product zXzY, the sum of all the zXzY products, and r). Round off values to two decimal places.
- d) Make a statistical decision and write a conclusion statement; be sure the conclusion contains descriptive data and inferential test results.
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