You wish to conduct a hypothesis test to determine if a
bivariate data set has a significant correlation among the two
variables. That is, you wish to test the claim that there is a
correlation (Ha:ρ≠0Ha:ρ≠0). You have a data set with 69 subjects,
in which two variables were collected for each subject. You will
conduct the test at a significance level of α=0.05α=0.05.
Find the critical value for this test (Pick the closest
conservative value from the table).
rc.v. = ±±
Report answers accurate to three decimal places.
The sample size is n=69, so then the number of degrees of freedom is df=n−2=69−2=67
The corresponding critical correlation value rc for a significance level of α=0.05, for a two-tailed test is:
rc=0.237
Observe that in this case, the null hypothesis is rejected if ∣r∣>rc=0.237.
You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠...
You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠0Ha:ρ≠0). You have a data set with 69 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of α=0.05α=0.05. Find the critical value for this test (Pick the closest conservative value from the table). rc.v....
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=8n=8 subjects. The average difference (post - pre) is ¯d=5.2d¯=5.2 with a standard deviation of the...
You wish to test the following claim (H) at a significance level of a = 0.05. For the context of this problem, d= 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 H:Hd < 0 – 11.9 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n= 85 subjects. The average...
You wish to test the following claim (H1) at a significance level of α=0.002α=0.002. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 H1:μd≠0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=23 subjects. The average difference (post - pre) is ¯d=−4.1 with a standard deviation of the...
You wish to determine if there is a positive linear correlation
between the two variables at a significance level of
α=0.001α=0.001. You have the following bivariate data
set.
x
y
79.4
93.7
54.6
26.9
42
70.2
86.2
84.2
117.9
139.4
51.9
45.4
56.3
69.3
75.7
64.7
59.7
114.5
72.4
51.6
49.9
35.8
93.9
84.4
27.1
29.1
91.9
117.6
55.6
42.8
85.5
125.1
84.4
121.4
105.1
142.3
72.6
37.7
84.5
34.5
101.2
117.9
82.1
131.1
128.4
117.9
97.8
128.6
105.9
75.9...
You wish to test the following claim (H) at a significance level of a = 0.005. For the context of this problem, d = 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 H:Hd = 0 – 28 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 21 subjects....
You wish to test the following claim (HQ) at a significance level of a = 0.001. For the context of this problem, d = 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 H:Hd 70 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 239 subjects. The average difference...
You wish to test the following claim (H) at a significance level of a = 0.01. For the context of this problem, d = 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 Hud < 0 – 0.5 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 158 subjects....
You wish to test the following claim (H) at a significance level of a = 0.01. For the context of this problem, Ha = 42 – Mi where the first data set represents a pre-test and the second data set represents a post-test. H:Md = 0 HQ:Hd < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 5 subjects. The average...
You wish to test the following claim (H1) at a significance level of α=0.002α=0.002. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 H1:μd>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=22 subjects. The average difference (post - pre) is ¯d=32 with a standard deviation of the...