1. 6-3 and 6-4 Quiz Review
Pages , #24, 30, 32, 38, 39, 42, 45–46
You have 30 minutes!!
I will check for completion BEFORE we go over the answers.

2. Pages , #24, 30, 32, 38, 39, 42, 45–46
Find 𝑝 and 𝑞
24) 𝑝 = =0.85; 𝑞 =1− 𝑝 =1−.85=.15
30) 𝑝 = =0.52; 𝑞 =1− 𝑝 =1−.52=.48

3. Pages , #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) = < p <
38) 𝑥=1230, 𝑛=2365, 𝑐=0.98
STAT-Test-A (1230, 2365, .98) = < p <

4. Pages , #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) ( ) 2 ≈385
b) 𝑛= 𝑝 𝑞 ( 𝑧 𝑐 𝐸 ) 2 ; 𝑛= .63 (.37) ( ) 2 ≈359
c) You need a larger sample when you have no prior data to work with.

5. Pages , #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; =.99
𝑋 𝑅 2 =42.980; 𝑋 𝐿 2 =10.856

6. Pages , #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)( ) < 𝜎 2 < (15)( ) 6.262
.00288< 𝜎 2 <.01266; <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)( ) < 𝜎 2 < (15)( ) 4.601
.00242< 𝜎 2 <.01723; <𝜎<.13127