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
Hypothesis Testing
Standard Deviation
Chi-Square Distribution
Formulas
Chi-square statistic formula: χ² = (n-1) * s² / σ₀²
Sample standard deviation formula: s = sqrt(Σ(xᵢ - x̄)² / (n-1))
Theorems
Chi-square distribution for testing variance in a normally distributed population
Suitable Grade Level
Undergraduate level statistics
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