Answer: y = x - 5
<u>Step-by-step explanation:</u>
"Eliminate the parameter" means we want to eliminate the <em>extra </em>variable and rewrite it ias one equation that only contains x, y, <em>and possibly a constant.</em>
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The extra variable in the equations is "t". Manipulate one of the equations to solve for t². Then substitute t² = _____ it into the other equation.
x = t² + 3 → x - 3 = t²
y = t² - 2
y = (x - 3) - 2
y = x - 5
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
<h3>When should the t-distribution and the z-distribution be used?</h3>
- If we have the standard deviation for the sample, the t-distribution should be used.
- If we have the standard deviation for the population, the z-distribution should be used.
In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.
More can be learned about the t-distribution at brainly.com/question/16162795
