What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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![You wish to test the following claim (Ha) at a significance level of a
= 0.02.
H.: 41
= 12
Ha:H1 > H2
You obtain the following two samples of data.
Sample #1
Sample #2
91.6
86.3
81.7
72.6
111.7
59.8
108.8
85.1
84.6
82.6
87.2
81.3
96.9 77.6
80.2
83.7
88.9
80.9
88.5
80.7
72.5
80.2
84.1
86.5
78.2
79.8
70.2
83.3
72.1
58.3
98.7
72.5
79.2
91.6
75.9
75.2
89.1| 66.9
78.9
65.9
84.2
78.7
75.2
88.2
73.4
84.1
100.8
108.8
82.5
89.6 72.6 85.9
86.5
81
49.6
70.7
75.2
90.5
82.5
82.6
57.5
90.7
111.7
63.1
76.5
81.6
79.8
88.9
66.4 69.8
85.1
108.8
75.2
87.4 81.3
83.6
85.5
49.6
53.6
65.9
88.9
76.1
83.9
75.9
49.6 82.3
66.9
76.8
83.1
87.2
87.2
79.7
86
64.8
63.1
68.4
91.6
82.9
85.5
79.7
53.6 52.4
90.2
70.7
87.2
73.4| 77.7
82.2
85.1
56.6
86
97.8
86.9
77.9
80.1
82.3
73.4
88.5
81
83.7
80.1
91.6
79.7
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the
technology you are using. (Report answer accurate to four decimal places.)
p-value =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c43bd27-5aae-43a1-b596-d19ceb738a47%2Fabc2bd18-0e99-49ee-9794-7acb50371d84%2F3ly636h_processed.png&w=3840&q=75)
![The p-value is...
O less than (or equal to) a
greater than a
This test statistic leads to a decision to...
O reject the null
accept the null
O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population mean is
greater than the second population mean.
O There is not sufficient evidence to warrant rejection of the claim that the first population mean is
greater than the second population mean.
O 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c43bd27-5aae-43a1-b596-d19ceb738a47%2Fabc2bd18-0e99-49ee-9794-7acb50371d84%2Fu20ts0l_processed.png&w=3840&q=75)
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