Use the Following Information to Answer Questions (1) - (4)

question 3

Essay

Use the following information to answer questions (1) - (4). A sprint duathlon consists of a 5 km run, a 20 km
bike ride, followed by another 5 km run. The mean finish time of all male participants in a recent large duathlon
was 1.54 hours with a standard deviation of 0.22 hours. The distribution of finish times for males is right-skewed.
Suppose that a sample of 30 randomly selected male participants is selected.
-Suppose that the process of drawing samples of size 30 from the population of all male participants is repeated 100 times. If possible, sketch and describe what the sampling distribution of the means will look like and state the approximate mean value of the distribution. Round to the nearest thousandth.

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Definitions:

Regression Line

A straight line that best fits the data points in a scatter plot, showing the relationship between two variables.

Sum Of Squares

A statistical measure that quantifies the dispersion of a set of data points by summing the squared deviations from their mean.

Simple Regression

Simple regression is a statistical method used to examine the relationship between one independent variable and one dependent variable by fitting a linear equation to observed data.