Asked by Aaron holmes on Apr 29, 2024
Verified
For a sample size of 21 at 95% confidence, the chi-square values needed for interval estimation are
A) 9.591 and 34.170.
B) 2.700 and 19.023.
C) 8.260 and 37.566.
D) 10.283 and 35.479.
Chi-Square Values
Statistical measures used in hypothesis testing, especially to determine whether categorical variables are independent.
Interval Estimation
A range of values, calculated from sample data, that is likely to contain the value of an unknown population parameter.
- Quantify and clarify confidence intervals associated with population variance and standard deviation.
Verified Answer
AM
angus mckayMay 01, 2024
Final Answer :
A
Explanation :
For a sample size of 21 at 95% confidence, the degrees of freedom for the chi-square distribution would be 21 - 1 = 20. Looking up the chi-square distribution table for 20 degrees of freedom at the 95% confidence level, the lower and upper critical values are 9.591 and 34.170, respectively. These values are used for constructing the confidence interval for the variance of a normally distributed sample.
Learning Objectives
- Quantify and clarify confidence intervals associated with population variance and standard deviation.