General equation of Ellipse centered at (h,k) is given as
where a is the radius along x-axis
and b is radius along y-axis.
Given : The equation of elliptical path of Earth as
Comparing the equation with the general equation, we get
(h,k) as (-2.5,0)
a =
b =
We have the Sun located at the coordinate (0,0).
Hence, the distance between Sun and Earth in July = 149.5 + 2.5 =152
∴ Earth's distance from the Sun in July is 152 million kilometers.
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:
At the null hypotheses, it i tested if the mean difference remains the same, that is:
At the alternative hypotheses, it is tested if it has decreased, hence:
.
The test statistic is given by:
The parameters are:
The parameters are given as follows:
.
Hence the test statistic is given by:
More can be learned about the t-distribution at brainly.com/question/16162795
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