Math Problem Statement

Suppose a professional golfing association requires that the standard deviation of the diameter of a golf ball be less than 0.004 inch. Determine whether these randomly selected golf balls conform to this requirement at the alpha equals 0.10 level of significance. Assume that the population is normally distributed. 1.681 1.683 1.681 1.677 1.681 1.684 1.682 1.677 1.684 1.679 1.679 1.684 What are the correct hypotheses for this​ test? H Subscript 0​: ▼ p mu sigma ▼ not equals greater than less than equals    enter your response here versus H Subscript 1​: ▼ p mu sigma ▼ not equals greater than equals less than    enter your response here ​(Type integers or decimals. Do not​ round.)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Hypothesis Testing
Chi-Square Test for Variance

Formulas

Chi-Square Test Statistic: χ² = (n-1)s² / σ²
Degrees of Freedom: df = n - 1

Theorems

Chi-Square Distribution for Variance Testing

Suitable Grade Level

Undergraduate Statistics or AP Statistics