6-3 and 6-4 Quiz Review Pages 354-356, #24, 30, 32, 38, 39, 42, 45–46 You have 30 minutes!! I will check for completion BEFORE we go over the answers.

Pages 354-356, #24, 30, 32, 38, 39, 42, 45–46 Find 𝑝 and 𝑞 24) 𝑝 = 425 500 =0.85; 𝑞 =1− 𝑝 =1−.85=.15 30) 𝑝 = 1230 2365 =0.52; 𝑞 =1− 𝑝 =1−.52=.48

Pages 354-356, #24, 30, 32, 38, 39, 42, 45–46 Construct the confidence interval for p. 32) 𝑥=425, 𝑛=500, 𝑐=0.99 STAT-Test-A (425, 500, .99) = .80887 < p < .89113 38) 𝑥=1230, 𝑛=2365, 𝑐=0.98 STAT-Test-A (1230, 2365, .98) = .49619 < p < .54398

Pages 354-356, #24, 30, 32, 38, 39, 42, 45–46 Find the minimum sample size required 39) 𝑐=.95, 𝐸=.05, 𝑝 =.63 (𝑝𝑎𝑟𝑡 𝑏) a) 𝑛= 𝑝 𝑞 ( 𝑧 𝑐 𝐸 ) 2 ; 𝑧 𝑐 =2𝑛𝑑 𝑉𝐴𝑅𝑆 3 1−𝑐 2 ; or 1.96 (use the positive) E = .05 (given); 𝑝 =.5; 𝑞 =.5 (use .5 when no prior data) 𝑛= .5 (.5) ( 1.96 .05 ) 2 ≈385 b) 𝑛= 𝑝 𝑞 ( 𝑧 𝑐 𝐸 ) 2 ; 𝑛= .63 (.37) ( 1.96 .05 ) 2 ≈359 c) You need a larger sample when you have no prior data to work with.

Pages 354-356, #24, 30, 32, 38, 39, 42, 45–46 Find the critical values for 𝑋 𝑅 2 and 𝑋 𝐿 2 . 42) 𝑐=.98, 𝑛=25 𝑑.𝑓.=24 1−.98 2 =.01; 1+.98 2 =.99 𝑋 𝑅 2 =42.980; 𝑋 𝐿 2 =10.856

Pages 354-356, #24, 30, 32, 38, 39, 42, 45–46 Construct the indicated confidence intervals for 𝜎 2 and 𝜎. Assume the samples are each taken from a normally distributed population. 45) 𝑐=.95, 𝑛=16, s=.0727 (from STAT-Calc-1 after putting numbers into L1) d.f. = 15; 𝑋 𝑅 2 =27.488; 𝑋 𝐿 2 =6.262 (𝑛−1)( 𝑠 2 ) 𝑋 𝑅 2 < 𝜎 2 < (𝑛−1)( 𝑠 2 ) 𝑋 𝐿 2 ; (15)( .0727 2 ) 27.488 < 𝜎 2 < (15)( .0727 2 ) 6.262 .00288< 𝜎 2 <.01266; .0537<𝜎<.1125 46) 𝑐=.99, 𝑛=16, s=.0727 d.f. = 15; 𝑋 𝑅 2 =32.801; 𝑋 𝐿 2 =4.601 (𝑛−1)( 𝑠 2 ) 𝑋 𝑅 2 < 𝜎 2 < (𝑛−1)( 𝑠 2 ) 𝑋 𝐿 2 ; (15)( .0727 2 ) 32.801 < 𝜎 2 < (15)( .0727 2 ) 4.601 .00242< 𝜎 2 <.01723; .04916<𝜎<.13127