For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correl
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<u>Given</u>:
Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.
The length of TU is (y - 2).
The length of UV is 8.
The length of SW is (y + 4)
The length of WV is 6.
We need to determine the length of line segment SV.
<u>Value of y:</u>
The value of y can be determined using the intersecting secant theorem.
Applying, the theorem, we get;
Substituting the values, we have;
Thus, the value of y is 6.
<u>Length of SV:</u>
The length of SV is given by
Thus, the length of SV is 16 units.
Hence, Option D is the correct answer.
Answer:
The calculated value |t| = 4.493>2.567 at 0.01 level of significance with
17 degrees of freedom.
Therefore the null hypothesis is rejected.
The weight of the contents is not at least as great as that advertised on the package
Step-by-step explanation:
<u>Step:-(i)</u>
Given data a random sample of 18 containers whose packing states that the contents weigh 8 ounces was drawn.
sample size 'n' = 18
mean of the population 'μ' = 8
sample mean (x⁻) =7.91, and
sample standard deviation (S) = 0.085.
<u>Step:-(ii)</u>
Given data the weight of the contents is at least as great as that advertised on the package That is
<u>Null hypothesis : 'μ' > 8</u>
<u>Alternative hypothesis:μ' < 8</u>
<u>Level of significance α=0.01</u>
Test statistic :-
t = -4.493
|t| =|-4.493| = 4.493
Degrees of freedom of t- distribution γ =n-1 = 18-1=17
The tabulated value t= 2.567 at 0.01 level of significance.
<u>Conclusion</u>:-
The calculated value |t| = 4.493>2.567 at 0.01 level of significance with
17 degrees of freedom.
Therefore the null hypothesis is rejected.
The alternative hypothesis is accepted
The weight of the contents is not at least as great as that advertised on the package.
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