The Confidence Interval of the given random sample survey is gotten as; CI = 13.755 ± 1.456
<h3>What is the confidence Interval?</h3>
We are given the hypotheses as;
Null Hypothesis; H₀: μ = 15
Alternative Hypothesis; Hₐ: μ ≠ 15.
where μ is the mean number of hours worked per week for all students at the college with part-time jobs.
We are told that it has a 95% confidence interval and degree of freedom of df = 25
From the t-table, the t-score = 2.06
The table gives us the standard error as 0.707 and sample mean of 13.755. Thus, we can find the confidence interval as;
CI = 13.755 ± 2.06(0.707)
CI = 13.755 ± 1.456
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Using the uniform distribution, it is found that the variance of x is of 2.0833.
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The variance is given by:
![V(X) = \frac{(b - a)^2}{12}](https://tex.z-dn.net/?f=V%28X%29%20%3D%20%5Cfrac%7B%28b%20-%20a%29%5E2%7D%7B12%7D)
In the die, all outcomes between 1 and 6 are equally as likely, hence the bounds are a = 1, b = 6, and the variance is given by:
![V(X) = \frac{(6 - 1)^2}{12} = 2.0833](https://tex.z-dn.net/?f=V%28X%29%20%3D%20%5Cfrac%7B%286%20-%201%29%5E2%7D%7B12%7D%20%3D%202.0833)
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Answer: A. addition of all grade points in completed courses divided by the
number of classes completed.
This excerpt contains an historical allusion to the discrimination and bigotry faced by African Americans throughout history in the United States.
<h3>What is historical allusion?</h3>
Historical allusion is known to be a kind of reference point, that is usually found in a speech or any kind of writing.
Note that the excerpt is said to be made up of an historical allusion to the discrimination and bigotry faced by African Americans throughout history in the United States.
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