Eva Would Like to Determine Whether Her Running Pace Is

question 90

Multiple Choice

Eva would like to determine whether her running pace is more consistent in the afternoon than in the morning.A sample of 10 morning runs (from population 1) has an average pace of 7 minutes, 32 seconds per mile, with a standard deviation of 45 seconds per mile.A sample of 12 afternoon runs (from population 2) has an average pace of 7 minutes, 20 seconds per mile, with a standard deviation of 32 seconds per mile.She assumes that her running times follow a normal distribution in both populations. She uses the data to test the following hypotheses:
H₀: σ₁² ≤ σ₂² (the morning variance is less than or equal to the afternoon variance)
H_A: σ₁² > σ₂² (the morning variance is greater than the afternoon variance)
What is the value of the test statistic, F_stat?

• A)0.506
• B)0.711
• C)1.41
• D)1.98

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Definitions:

Invisible-Hand Concept

This concept, introduced by Adam Smith, suggests that the self-regulating nature of the marketplace leads to economic efficiency through individuals' pursuit of their own self-interest.

Resource Suppliers

Entities or individuals that provide the inputs or resources, such as labor, land, capital, and materials, needed for production processes.

Public Interest

The welfare or well-being of the general public and society as a whole, often considered in policy-making and law.

Efficient Combination

The optimal mix of goods and services produced with given resources to achieve maximum value or output.