Math Problem Statement
Twenty students took a management course examination. The sample variance is found to be 80. The teacher claims that based on his past experinece the true variance has been 100. Does the sample result show that variance in the sample is significantly different ?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
Chi-Square Test
Formulas
Chi-Square Test Statistic: χ² = (n-1) * s² / σ²
Theorems
Chi-Square Distribution
Suitable Grade Level
Undergraduate Statistics
Related Recommendation
Chi-square Test for Variance: Hypothesis Testing with Sample Standard Deviation
90% Confidence Interval for Population Variance Using Chi-square Distribution
Chi-Square Test for Variance with Sample Standard Deviation 50.6 and Population Standard Deviation 53
Chi-Square Test for Population Variance with Sample Size 13 and χ² = 25.191
Left-Tailed Hypothesis Test for Population Standard Deviation: Example with Chi-Square Test