Question
In: Statistics and Probability
You wish to test the claim that the first population mean is greater than the second...
You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α=0.10
.
Ho:μ1=μ2
Ha:μ1>μ2
You obtain the following two samples of data.
| Sample #1 | Sample #2 | ||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
|
What is the test statistic for this sample?
test statistic = Round to 3 decimal places
What is the p-value for this sample?
p-value = Use Technology Round to 4 decimal places.
The p-value is...
- less than (or equal to) α
- greater than α
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- The sample data support the claim that the first population mean is greater than the second population mean.
- There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
Solutions
orchestra answered 1 year agoRelated Solutions
You wish to test the claim that the first population mean is greater than the second...
You wish to test the claim that the first population mean is
greater than the second population mean at a significance level of
α=0.005
Ho:μ1=μ2
Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
57.7
63.3
64.3
70.1
53.6
69.6
72.2
67.3
70.1
31.0
55.7
63.8
71.4
71.4
83.6
87.9
102.3
34.9
84.5
75.1
78.5
58.8
What is the test statistic for this sample?
test statistic = _____________ Round to 3 decimal
places.
What is the...
You wish to test the claim that the first population mean is greater than the second...
You wish to test the claim that the first population mean is
greater than the second population mean at a significance level of
α=0.002α=0.002.
Ho:μ1=μ2
Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
61.3
55.4
65.4
65.4
65.7
51.0
61.4
61.8
59.4
56.6
60.7
52.0
62.4
24.3
37.2
1.5
42.2
53.5
35.9
65.9
48.3
17.8
49.8
42.6
What is the test statistic for this sample?
test statistic = Round to 4 decimal places.
What is...
1) You wish to test the claim that the first population mean is greater than the...
1)
You wish to test the claim that the first population mean is
greater than the second population mean at a significance level of
α=0.002α=0.002.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1
Sample #2
37.0
29.1
40.7
52.0
75.0
56.4
72.1
60.8
67.1
50.4
32.5
65.3
32.8
70.4
21.6
25.3
57.3
22.1
4.3
39.4
42.9
50.3
What is the test statistic for this sample?
test statistic = Round to 4 decimal places.
What is the...
You wish to test the claim that the first population mean is less than the second...
You wish to test the claim that the first population mean is
less than the second population meanat a significance level of
α=0.001α=0.001.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the following two samples of data.
Sample #1
Sample #2
43.3
56.2
64.2
49.7
95.4
61.0
85.0
49.1
50.9
49.1
61.0
63.2
72.7
81.7
41.4
55.8
54.5
83.6
93.5
79.2
74.9
77.8
49.8
48.8
43.5
90.5
90.5
76.2
47.7
What is the test statistic for this sample?
test statistic = Round to 3...
You wish to test the claim that the first population mean is less than the second...
You wish to test the
claim that the first population mean is less than the second
population mean at a significance level of α=0.01α=0.01.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the
following two samples of data.
Sample #1
Sample #2
71.2
85.7
85.4
76.5
92.2
81.3
72.7
71.8
86.8
78.3
86.3
78.7
80.3
72.2
93.3
83.2
86.8
85.3
81.6
80.5
87.8
88.6
75.4
What is the test statistic for this sample?
test statistic = Round to 3 decimal places.
What is...
You wish to test the claim that the first population mean is less than the second...
You wish to test the claim that the first population mean is
less than the second population mean at a significance level of
α=0.001α=0.001.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the following two samples of data.
Sample #1
Sample #2
41.5
47.1
71.9
67.8
57.1
72.9
52.3
70.3
65.5
68.8
66.2
69.3
70.4
87.8
79.7
89.4
81.0
70.4
71.4
68.8
91.6
82.1
79.1
What is the test statistic for this sample?
test statistic = Round to 4 decimal places.
What is the...
You wish to test the claim that the first population mean is less than the second...
You wish to test the
claim that the first population mean is less than the second
population mean at a significance level of α=0.01α=0.01.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the
following two samples of data.
Sample
#1
Sample
#2
71.2
85.7
85.4
76.5
92.2
81.3
72.7
71.8
86.8
78.3
86.3
78.7
80.3
72.2
93.3
83.2
86.8
85.3
81.6
80.5
87.8
88.6
75.4
What is the test statistic for this sample?
test statistic = Round to 3 decimal places.
What is...
You wish to test the claim that the first population mean is less than the second...
You wish to test the claim that the first population mean is
less than the second population mean at a significance level of
α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the following two samples of data.
Sample #1
Sample #2
72.8
86.5
83.4
79.7
88.0
76.7
86.5
87.5
93.6
91.3
82.0
78.6
92.7
89.2
95.0
63.1
82.9
82.0
104.1
75.4
84.2
98.6
60.6
76.4
85.9
83.7
75.9
74.8
What is the test statistic for this sample?
test statistic = Round to 3...
You wish to test the claim that the first population mean is less than the second...
You wish to test the claim that the first population mean is
less than the second population mean at a significance level of
α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
You obtain the following two samples of data.
Sample #1
Sample #2
72.8
86.5
83.4
79.7
88.0
76.7
86.5
87.5
93.6
91.3
82.0
78.6
92.7
89.2
95.0
63.1
82.9
82.0
104.1
75.4
84.2
98.6
60.6
76.4
85.9
83.7
75.9
74.8
What is the test statistic for this sample?
test statistic = Round to 3...
You wish to test the claim that the first population mean is not equal to the...
You wish to test the claim that the first population mean is not
equal to the second population mean at a significance level of
α=0.02α=0.02.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2
You obtain the following two samples of data.
Sample #1
Sample #2
80.8
78.4
96.5
55.2
74.6
53.8
57.1
43.8
108.1
65.1
57.8
85.7
69.5
89.5
93.0
98.7
75.1
98.0
87.9
76.7
78.0
88.8
84.0
96.9
76.7
What is the test statistic for this sample?
test statistic = Round to 4 decimal places....
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