Marathon Runners a Researcher Wants to Study the Average Miles Run

question 73

Short Answer

Marathon Runners
A researcher wants to study the average miles run per day for marathon runners.In testing the hypotheses: H₀: μ = 25 miles vs.H₁: μ ≠ 25 miles,a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10,produced a mean of 22.8 miles weekly. ​ ​
-{Marathon Runners Narrative} Compute the p-value.

---

Definitions:

Residuals

The differences between observed values and the expected values predicted by a model.

Fitted Values

Estimates or predictions generated by a statistical model that represent the best guesses for the dependent variable based on the model and the input values.

Constant Variance

The condition in which the variance of the error terms in a regression model is the same across all levels of the independent variable.

Correlation Coefficient

A numerical index that determines both the magnitude and orientation of a linear correlation between two variables, which can vary between -1 and 1.