Question
In: Statistics and Probability
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain a sample of size n1=12n1=12 with a mean of
M1=71.3M1=71.3 and a standard deviation of SD1=11.6SD1=11.6 from
the first population. You obtain a sample of size n2=25n2=25 with a
mean of M2=82.2M2=82.2 and a standard deviation of SD2=12.1SD2=12.1
from the second population.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain a sample of size n1=61n1=61 with a mean of
M1=65.1M1=65.1 and a standard deviation of SD1=18.6SD1=18.6 from
the first population. You obtain a sample of size n2=79n2=79 with a
mean of M2=54.8M2=54.8 and a standard deviation of SD2=20.4SD2=20.4
from the second population.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
Solutions
orchestra answered 2 years agoRelated Solutions
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
67.8
100.5
96.8
59.4
66.7
86.2
89.2
86.7
70.6
100.5
65.8
77.4
78.4
71.9
69.3
61.4
69.6
81.6
90.4
75.3
83.4
70.9
84.5
75.3
62
58.6
77.4
73.8
70.6
83
83
63.6
76.2
61.4
75.6
84.5
92.6
87.6
73.9
77.3
77.8
64.9
67.5
49.7
87
56.5
96.1
75.8
84.1
39.6
63.8
68.5...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
76.6
68.8
83.7
70.2
82.1
89.6
76.6
83.7
78.4
72.8
79.7
76.6
85.6
80.6
81.2
74.9
77.3
77.8
77.3
85.9
65.4
79.7
73.6
73.6
78.5
79
66.6
76.1
77.7
79
81.1
74.7
83.9
77.7
80.6
86.1
74.7
81.4
77.3
91.8
71.3
81.4
77.3
75.1
82.1
89.6
81.6
56.1
67.4
76.7
84.6
85.9...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the following two samples of data.
Sample #1
Sample #2
28
70.9
54
62.1
46.2
64
48.4
49.5
44.2
52.3
57.3
55.5
76.6
33.7
39.6
67.3
68.6
55.1
51.6
53
62.1
64.5
58.4
76.6
49.1
42.9
41.1
54.8
60.4
73.9
46.2
43.4
43.8
46.2
40.6
46.2
28
41.1
26.2
41.1
30.7
47.3
60
29.4
49.5
44.2
52
43.8
54.8
40.1
37.9
71.9...
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
108.5
76.1
45.9
101.2
96.4
96.9
80.5
82.5
83
83.5
114.1
99.5
83
102.3
106.9
97.4
74.8
51
61.8
101.7
85
95.9
84.5
94.9
45.9
74.8
86.4
89.7
69.9
77.2
85
73.5
81
106.2
100.6
74.2
99.5
99
108.5
121.8
96.9
102.3
84
112
87.3
79.4
86.9
94.4
61.8
78.4
104.2
112...
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain the following two samples of data.
sample 1
66.9
49.9
58.3
61.6
29.4
78
40.8
43.1
56.4
61.1
85.3
68.4
70
58.8
53
78
51.5
55.9
43.1
45.8
16.7
76.6
60.7
91
63.5
65.4
64.5
62.5
92.9
46.4
58.8
71.7
70
103.7
55.9
69.5
61.6
83.1
60.7
79.6
85.3
72.2
59.3
63
81.3
Sample 2
52.9
59.8
47.2
80.7
68.4
49.8
25.6...
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=22n1=22 with a mean of
¯x1=62.4x¯1=62.4 and a standard deviation of s1=15.3s1=15.3 from
the first population. You obtain a sample of size n2=25n2=25 with a
mean...
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=14n1=14 with a mean of
¯x1=79.7x¯1=79.7 and a standard deviation of s1=11.8s1=11.8 from
the first population. You obtain a sample of size n2=15n2=15 with a
mean...
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You believe both populations are normally distributed, but you do
not know the standard deviations for either. However, you also have
no reason to believe the variances of the two populations are not
equal. You obtain the following two samples of data.
Sample #1
86.7
55
82
104.4
64.8
72.4
71.5
85.8
63.5
104.4
70.6
75.8
74.5
69.1
98.3
96.7
57.2
66.5...
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=10n1=10 with a mean of
¯x1=70.4x¯1=70.4 and a standard deviation of s1=5.5s1=5.5 from the
first population. You obtain a sample of size n2=13n2=13 with a
mean...
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1>μ2...
You wish to test the following claim (HaHa) at a significance
level of α=0.05
Ho:μ1=μ2
Ha:μ1>μ2
You believe both populations are normally distributed, but you
do not know the standard deviations for either. And you have no
reason to believe the variances of the two populations are equal
You obtain a sample of size n1=23n1=23 with a mean of ¯x1=73.1x and
a standard deviation of s1=15.5 from the first population. You
obtain a sample of size n2=19 with a mean...
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