Stat 422 Test I
March 8, 2013
1. (U) A physicist makes 25 independent measurements of the specic gravity of a certain body. He knows that
the limitations of his equipment are such that the standard deviation of each measurement is units.
(a) By using the
u
x
m a
"h.
v
\I
H
w;
3295; EM; Q [@119 f
5: 1 _ 5
If) M f: 25;; W74: JrsWk
#7 M I _.
CLT
* * 2%» W 5/») 2% m 3???"EW
, A, . __._m l
L // 9C: 65
4. ML y; 43mm) 7 a! 03
; MM 49/549» 6% Jaw-49>
~55 0+!)
4 = 6? l
STAT 422
Spring 2011
Homework 3, due Friday, Feb. 11
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 6.2 (pp. 334-5): #2,6+,9*; Sec. 6.3 (pp. 344-5):
#6,12+,14; Sec. 6.4 (pp. 353-4): #
STAT 422
Spring 2011
Homework 9, due Wednesday, May 4
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 8.7 (pp. 513-4): #7*,8*; Sec. 8.8 (pp. 525-6): #2;
Sec. 9.2 (pp. 548-550): #2
Addi
STAT 422
Spring 2011
Homework 8, due Monday, April 18
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 8.1 (pp. 461-3): #12,14,18*; Sec. 8.5 (pp. 496-7):
#2,3; Sec. 8.10 (pp. 531-534):
STAT 422
Spring 2011
Homework 1, due Mon. Jan. 31
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 5.9 (pp. 301-3): #1,2,8,22*; Sec. 5.10 (p. 308): #2,6,8;
Sec. 5.11 (p. 312): #7
Additi
STAT 422
Spring 2011
Homework 5, due Friday, March 11
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 7.3 (pp. 403-4): #1,5,6; Sec. 7.4 (p. 409): #1,2;
Sec. 7.5 (pp. 415-6): #4,6,7; Se
STAT 422
Spring 2011
Homework 4, due Monday, Feb. 28
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 6.5 (pp. 362-3): #8,11; Sec. 6.6 (pp. 369-70): #2,4,6,11*;
Sec. 6.7 (pp. 376-7): #2
STAT 422
Spring 2011
Homework 7, due Friday, April 1
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 11.5 (pp.764-5): #6; Sec. 8.1 (pp. 461-3): #2,4,13.
For problem 6 of Sec. 11.5, als
STAT 422
Spring 2011
Homework 2, due Fri. Feb. 4
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 5.7 (pp. 290-1): #13; Sec. 5.12 (pp. 318-9): #2,3,4,5,11;
Sec. 5.13 (pp. 320-1): #14,17
Stat 422 Test II
April 19, 2013
FORMULAE YOU MAY FIND HANDY.
Let X1 , . . . , Xn be a random sample from f (x|) whose mean is and variance is 2 . Let
1
X=
Xi ,
n
n
i=1
1
S=
(Xi X )2
n1
n
2
Then
E (X ) = ,
and Yn = maxcfw_X1 , . . . , Xn .
i=1
var(X ) =
2
STAT 422
Spring 2011
Homework 6, due Friday, March 18
Problems marked by * are required for graduate students, optional for undergraduates.
From DeGroot and Schervish: Sec. 7.8 (pp. 444-5): #2,4,7,13,14; Sec. 7.9 (pp. 446-7):
#6,16
Additional Problem
1. S