Randomly selected 150 student cars have ages with a mean of 7.3 years and a standard deviation of 3.6 years, while randomly selected 65 faculty cars have ages with a mean of 5.9 years and a standard deviation of 3.5 years.
1. Use a 0.01 significance level to test the claim that student cars are older than faculty cars.
The test statistic is
Is there sufficient evidence to support the claim that student cars are older than faculty cars?
A. Yes
B. No
2. Construct a 99% confidence interval estimate of the difference μ1−μ2, where μ1 is the mean age of student cars and μ2 is the mean age of faculty cars. <(μ1−μ2)
Answers
Answer:
1) B. NO
2) -0.049 < (μ1 − μ2) > 2.751
Step-by-step explanation:
Data of student cars;
Sample size; n1 = 150
Sample mean; x1¯ = 7.3
Sample standard deviation; s1 = 3.6
Faculty cars data;
Sample size; n2 = 65
Sample mean; x2¯ = 5.9
Sample standard deviation; s2 = 3.5
The hypotheses is defined as;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
1) Formula for test statistic for 2 sample test is;
z = (x1¯ - x2¯)/√[((S1)²/n1) + ((S2)²/n2)
z = (7.3 - 5.9)/√[((3.6)²/150) + ((3.5)²/65)
z = 1.4/√((12.96/150) + (12.25/65))
z = 1.4/√0.2749
z = 1.4/0.5243
z = 2.67
From online p-value from z-score calculator attached, using z = 2.67, one tailed test, significance level = 0.01,we have;
P-value = 0.003793
This is less than the significance level, thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that student cars are older than faculty cars.
2) Formula for the confidence interval is;
CI = μ1−μ2 = (x1¯ - x¯2) ± z√[((S1)²/n1) + ((S2)²/n2)
At significance level of 99%, z-score value is 2.576
Thus;
μ1−μ2 = (7.3 - 5.9) ± 2.576√[((3.6)²/150) + ((3.5)²/65)
μ1 − μ2 = 1.4 ± 2.576(0.5243)
-0.049 < (μ1 − μ2) > 2.751
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Step by step explanation if you see the right angle at 57 degrees it part of x so x plus 57 is 90 and 90 minus 57 is 33 so x is 33 and x and y also form a right angle so x plus y should equal 90 and 90 minus 33 is 7 so that’s Y
Answer:
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Step-by-step explanation:
The x would've been 90 degrees but the 57 degrees got in the way so if you subtract the 57 from 90 you get 33.
The y is if you look on the opposite side of the y there is a blank space that is the same exact size as the y size. So that would've been a 90 degrees as well but the other 90 degrees cut in the middle of it. Making you divide 90 in half.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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On a coordinate plane, the fountain is at (7, 5), the gardens are at (3, negative 5), the pond is at (negative 1, 7), and concessions are at (negative 7, 0). Refer to the park map and check all that apply. The gardens are located in the fourth quadrant. The concessions are located on the y-axis. The x- and y-coordinates of the location of the fountain are both positive. The x-coordinate of the location of the pond is negative, and the y-coordinate is positive. The pond is located in quadrant I.
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
I think this is it.....If not let me know
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Answers
Answer:
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Step-by-step explanation:
Given
[tex]Inspected= 340[/tex]
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Required
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First, we need to calculate the number of those that didn't pass inspection.
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The above formula is derived by dividing the number of parts that didn't pass inspection by the total machine inspected, then multiplied by 100%
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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D
Step-by-step explanation:
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What is Tan(a - b) Identity in Trigonometry?One of the trigonometric identities for compound angles is the tan(a-b) identity. When the angle for which the tangent function value is to be determined is supplied in the form of the difference of any two angles, it is used. The compound angle is denoted by the angle (a-b) in the formula for tan(a-b).
Given:
tanA = -square root 15
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Tan(a - b) Identity
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Step-by-step explanation:
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Answer:
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Complete the following:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
If \triangle BTS\cong\triangle GHD△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m\angle∠S = 56°, m\angle∠B = 21°, and m\angle∠H = (7y + 5)°, find the value of y.
Answers
Given:
△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m∠S = 56°, m∠B = 21°, and m∠H = (7y + 5)°.
To find:
The value of y.
Solution:
In △BTS,
[tex]m\angle B+m\angle T+m\angle S=180^\circ[/tex] (Angle sum property)
[tex]21^\circ+m\angle T+56^\circ=180^\circ[/tex]
[tex]m\angle T+77^\circ=180^\circ[/tex]
[tex]m\angle T=180^\circ-77^\circ[/tex]
[tex]m\angle T=103^\circ[/tex]
We have,
[tex]\Delta BTS\cong \Delta GHD[/tex]
So, [tex]\angle T\cong \angle H[/tex] (By CPCTC)
Then, [tex]m\angle T=m\angle H[/tex]
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[tex]103-5=7y[/tex]
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[tex]14=y[/tex]
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Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
Help plz:))) I’ll mark u brainliest
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Answer:
its C can i get brainliest i only need 1 more
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation: