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.
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)
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