Question

Finding Critical Values and Confidence Intervals. In Exercises 5-8 use the given information to find the number of degrees of freedom, the critical values X_L^2and X_R^2, and the confidence interval estimate of ơ. The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a population with a normal distribution. 6. Weights of Pennies 95% confidence; n = 37, s = 0.001648 g.

Answer 1

Chi square critical value at 0.05 level with 36 df are

L = 21.336 , U = 54.437

95% confidence interval for is

Sqrt[ (n-1) S² / U ] < < Sqrt[ (n-1) S² / L ]

Sqrt [ 36 * 0.001648² / 54.437 ] < < sqrt [ 36 * 0.001648² / 21.336 ]

0.001340 < < 0.002141

99% CI is ( 0.001340 , 0.002141)