Ch. 10 Review
IB Statistics
1. You want to compute a 96% confidence interval for a population mean. Assume that the
population standard deviation is known to be 10 and the sample size is 50. The critical value
to be used in this calculation is
(A) 1.960
(
Completely randomized split-plot design
(CRSPD)
Randomized complete block split-plot design
(RCBSPD)
Yijk = + i + j + ( )ij + Sk (i ) + Eijk
Homogeneous plots are grouped in a block.
Whole plot factor is randomized within a block.
i = 1,2,.,a; j = 1,2,.,b
Statistics 6204
Spring 2016 Dr. S.
QUIZ 2
PRINT YOUR NAME HERE:_SOLUTIONS_ Score:_
Also sign your name somewhere on the BACK of this quiz. Write your answers directly on this quiz and show adequate
amount of work to get full credit. The point value for th
Statistics 6204
Spring 2016 Dr. S.
QUIZ 3
PRINT YOUR NAME HERE:_ Score:_
Also sign your name somewhere on the BACK of this quiz. Write your answers directly on this quiz and show adequate
amount of work to get full credit. The point value for the differen
STAT 6204 BRIEF ANSWERS TO EXAM 1
1.
7
1
0.0004165 .
75 7 4
P
2, 520
b) 7 55
.1499375 .
16, 807
7
5 2
3 1 5 10 2 5
100
.0059499 .
c) 5
16, 807 16, 807
7
a)
2. P( A) .35 and P(B) .40 .
B) P( A) P(B) (.35)(.40) .14 . Then, P ( A B) P ( A) P (B) P ( AB
STAT 3401 SOLUTIONS FOR THE DISCRETE PROBLEMS IN SECTIONS 5.2, 5.3, 5.4
SECTION 5.2
5.2
a) Let the sample space be the set of all sequences of heads and tails for the three coins:
= cfw_HHH, HHT , HTH ,THH, HTT ,THT ,TTH,TTT . Corresponding to the eight
STAT 3401 SOLUTIONS FOR SECTION 4.3
4.21
E (Y ) =
E (Y 2 ) =
yf ( y )dy =
1
0
y 2 f ( y )dy =
V (Y ) = E (Y 2 ) E (Y )2 =
y ( 32 y 2 + y )dy =
1
1
0
( 32 y 3 + y 2 )dy = ( 38 y 4 + 31 y 3 )
y 2 ( 32 y 2 + y )dy =
0
11
20
( 17
)2 =
24
4.27 From problem 4.
STAT 3401 SOLUTIONS FOR THE CONTINUOUS PROBLEMS IN SECTIONS 5.2, 5.3, 5.4
SECTION 5.2
5.15
a) P (Y1 < 2,Y2 > 1) = P (Y1,Y2 ) B) , where
B = cfw_( y1, y 2 ) : 0 y 2 y1, y1 < 2, y 2 > 1 = cfw_( y1, y 2 ) : 1 < y 2 y1 < 2 . So,
P (Y1 < 2,Y2 > 1) =
2
2
1
2