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13.26 a,b,c 13.31 on attached file Document Preview: Statistics 4b Problems 13.10, 13.24, 13.26, 13.30 and 13.31 13.10 What are the null and research hypotheses for correlations? H0 (null hypothesis):...

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Statistics 4b Problems 13.10, 13.24, 13.26, 13.30 and 13.31 13.10 What are the null and research hypotheses for correlations? H0 (null hypothesis): proposes that there is no relationship between the two variables. H1 (research hypothesis): proposes that there is a relationship between the two variables. 13.24 Calculate degrees of freedom for the data provided in each of the following: Exercise 13.1 7 XY0.136450.274860.494350.576890.841370.64167 df x= N-1 = 6-1 = 5  Exercise 13.1 8 XYXY394252764097275254453492515620a349652487559335df = 4 df= 4 df= 3 df= 3 Exercise 13.1 9 XY4060455520307525152035406530df = 6 df = 6 13.26 Determine the critical values, or cutoffs, assuming a two-tailed test with a p level of 0.05, for the data provided in: a. Exercise 13.1 7 b. Exercise 13.1 8 c. Exercise 13.1 9 13.30 A study on the relation between rejection and depression in adolescents conducted by one of the authors (Nolan, Flynn, & Garber, 2003) also collected data on externalizing behaviors (e.g., acting out in negative ways, such as causing fights) and anxiety. We wondered whether externalizing behaviors were related to feelings of anxiety. Some of the data are presented in the accompanying table. Externalizing Anxiety XXXXXXXXXXExternalizing XXXXXXXXXXAnxiety 9.00 XXXXXXXXXX00 XXXXXXXXXX.00 XXXXXXXXXX33.00 7.00 XXXXXXXXXX00 XXXXXXXXXX.00 XXXXXXXXXX26.00 7.00 XXXXXXXXXX XXXXXXXXXX.00 XXXXXXXXXX35.00 3.00 XXXXXXXXXX00 XXXXXXXXXX.00 XXXXXXXXXX23.00 11 .00 42.00 XXXXXXXXXX9.00 XXXXXXXXXX Create a scatterplot of these data. Be sure to label both axes. x b. What does the scatterplot suggest about the relation between these two variables? Shows the data has a linear relation. c. Would it...

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Answered Same Day Dec 21, 2021

Solution

Robert answered on Dec 21 2021
115 Votes
Statistics 4b
Problems 13.10, 13.24, 13.26, 13.30 and 13.31
13.10 What are the null and research hypotheses for co
elations?
H0 (null hypothesis): proposes that there is no relationship between the two variables.
H1 (research hypothesis): proposes that there is a relationship between the two variables.


13.24 Calculate degrees of freedom for the data provided in each of the following:
a. Exercise 13.1 7
X Y
0.13 645
0.27 486
0.49 435
0.57 689
0.84 137
0.64 167
df x= N-1 = 6-1 = 5
dfy = N-1 = 6-1 = 5













b. Exercise 13.1 8
X Y X Y
394 25 276 40
972 75 254 45
349 25 156 20
a349 65 248 75
593 35
df = 4
df= 4
df= 3
df= 3
c. Exercise 13.1 9
X Y
40 60
45 55
20 30
75 25
15 20
35 40
65 30
df = 6
df = 6
13.26 Determine the critical values, or cutoffs, assuming a two-tailed test with a p level of 0.05, for the
data provided in:
a. Exercise 13.1 7
a. Exercise 13.1 7
X Y
0.13 645
0.27 486
0.49 435
0.57 689
0.84 137
0.64 167
t-Test: Two-Sample Assuming Equal Variances

X Y
Mean 0.49 426.5
Variance 0.06588 54282.3
Observations 6 6
Pooled Variance 27141.18294
Hypothesized Mean Difference 0
df 10

t Stat
-
4.478845019
P(T<=t) one-tail 0.000590565
t Critical one-tail 1.812461123
P(T<=t) two-tail 0.00118113
t Critical two-tail 2.228138852
. Exercise 13.1 8
X Y X Y
394 25 276 40
972 75 254 45
349 25 156 20
a349 65 248 75
593 35
t-Test: Two-Sample Assuming Equal Variances

X Y
Mean 531.4 45
Variance 70835.3 550
Observations 5 5
Pooled Variance 35692.65
Hypothesized Mean Difference 0
df 8
t Stat 4.070747585
P(T<=t) one-tail 0.001789856
t Critical one-tail 1.859548038
P(T<=t) two-tail 0.003579712
t Critical two-tail...
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