Assume That You Want to Test the Claim That the Paired

question 121

Multiple Choice

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is $\mu _ { \mathrm { d } } = 0.$ 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed.
- $\begin{array}{c|cccccccc}\mathrm{x} & 6.7 & 6.3 & 4.1 & 11.4 & 4.2 & 11.7 & 9.1 & 6.6 \\\hline \mathrm{y} & 4.9 & 6 & 5.2 & 6.7 & 4.6 & 6.4 & 5.2 & 4.9\end{array}$

• A) \(t = 6.792\)
• B) \(t = 0.998\)
• C) \(t = 0.845\)
• D) \(t = 2.391\)

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Definitions:

Oil Quality

A measure of the chemical and physical properties of an oil, determining its suitability for specific uses.

Regression Equation

A mathematical formula used to predict a dependent variable based on one or more independent variables.

Outliers

Data points that significantly differ from the majority of a dataset, often indicating a deviation from the norm.

Residuals

The differences between observed and predicted values in a regression analysis, representing the error not explained by the model.