Math Problem Statement
The measurements of the diameters (in inches) of 12 randomly chosen golf balls are listed. At alpha equals 0.05α=0.05, is there enough evidence to reject the claim that the standard deviation of the measurements of these diameters is 0.0050.005? Assume the population is normally distributed. LOADING... Click the icon to view the Chi-Square Distribution Table. 1.6771.677 1.6821.682 1.6791.679
1.6791.679 1.6791.679 1.6781.678 1.6821.682 1.6791.679 1.6831.683 1.6811.681 1.6771.677 1.6791.679 Question content area bottom Part 1 (a) Write the claim mathematically and identify Upper H 0H0 and Upper H Subscript aHa. Choose the correct answer below. A. Upper H 0 : sigma greater than 0.005H0: σ>0.005; Upper H Subscript a Baseline : sigma less than or equals 0.005Ha: σ≤0.005 (Claim) B. Upper H 0 : sigma greater than or equals 0.005H0: σ≥0.005; Upper H Subscript a Baseline : sigma less than 0.005Ha: σ<0.005 (Claim) C. Upper H 0 : sigma equals 0.005H0: σ=0.005 (Claim); Upper H Subscript a Baseline : sigma not equals 0.005Ha: σ≠0.005 Your answer is correct.D. Upper H 0 : sigma less than or equals 0.005H0: σ≤0.005 (Claim); Upper H Subscript a Baseline : sigma greater than 0.005Ha: σ>0.005 Part 2 (b) Find the critical value(s). chi Subscript 0 Superscript 2χ20equals=enter your response here (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Chi-Square Distribution
Standard Deviation
Formulas
Chi-square statistic formula
Theorems
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Suitable Grade Level
Advanced High School
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