Stat 370 Fall 2016
Homework 6 Due October 14 (Friday)
NO LATE HOMEWORK. You may submit any time before deadline.
Present the solutions, tables, plots and graphs in the same sequence that the problems are
listed in the homework sets. A one point deduction
Stat 370
Fall 2016
FOR ALL HOMEWORK:
Present the solutions, tables, plots and graphs in the same sequence that
the problems are listed in the homework sets. A one point deduction will
be enforced if they are not.
Please circle or highlight your final an
Stat 370 Fall 2016
1.
Homework 7 Solution
Exercise 4-92.
(a) 90% Prediction Interval: x t 0.1 / 2 ,201 s 1
1
1
= 1.121 (1.729)(0.328) 1
= (0.5399, 1.7021)
n
20
(b) 95% Tolerance Interval for 95% of all values:
x ks = 1.121 (2.752)(0.328) = (0.2183, 2.02
Stat 370
Fall 2016
Homework 6 Solution
1.
(a) We assume approximate Normality with given. We use Case I.
1. Ha: = 3200 versus Ha: > 3200, =0.05
2. test statistic
3222.5 3200
z0
2.46 .
1000 / 12
3. RR = cfw_z0 > z.05 = 1.645
4. Reject H0: = 3200 in favor
Stat 370
Fall 2016
Homework 2 Solution
24
1.
24
n 30, x i 1425
x
i 1
a. Sample average:
x
2
i
67965
i 1
1425
47.5
30
~ 47.5
middle values = 47 and 48 Sample median: x
S XX 67965
b. Sample variance and sd:
14252
30
277.5
277.5
9.568966
30 1
s 3.093374
Stat 370
Fall 2016
Homework 3 Solution
1.
a.
b.
c. mean and variance
hour or cfw_33 min & 36 sec
hour2
d. cdf
0.6
0.4
0.2
0.0
CDF F(x)
0.8
1.0
e. plot of cdf F(x)
-0.5
0.0
0.5
x
1.0
1.5
2.
a.
b.
c.
Exercise 3-28
P(X 2.0080) F(2.0080) 200(2.0080) 401 0.6
P
Stat 370 Fall 2016
Homework 7 - Due October 21 (Friday)
NO LATE HOMEWORK. You may submit any time before deadline.
Present the solutions, tables, plots and graphs in the same sequence that the problems are listed in
the homework sets. A one point deductio
Stat 370
Fall 2016
Homework 2 Due September 9 Friday
NO LATE HOMEWORK. You may submit any time before deadline.
Present the solutions, tables, plots and graphs in the same sequence that the
problems are listed in the homework sets. A one point deduction w
Stat 370
Fall 2016
Homework 3 Due September 16 Friday
NO LATE HOMEWORK. You may submit any time before deadline.
Present the solutions, tables, plots and graphs in the same sequence that the problems are listed in
the homework sets. A one point deduction
Stat 370 Fall 2016
Homework 5 Due October 7
NO LATE HOMEWORK. You may submit any time before deadline.
Present the solutions, tables, plots and graphs in the same sequence that the problems are
listed in the homework sets. A one point deduction will be en
Stat 370
Fall 2016
Homework 5 Solution
1.
Exercise 3-198
0.08
(a) x
0.018
n
20
X
5.95 6.16
P(Z 11.67) 0
(b) P(X 5.95) P
0.018
x
X
6
0.001
(c) P
0.018
x
P(Z < z0) = 0.0010, From the standard normal table, z0 = -3.09
6
3.09
0.018
6.056
z0
2.
Stat 370
Fall 2016
Homework 4 Due September 30 Friday
NO LATE HOMEWORK. You may submit any time before deadline.
Present the solutions in the same sequence that the problems are listed in the homework sets. A one
point deduction will be enforced if they a
Stat 370
Fall 2016
Homework 1 Solution
1.
n
a.
Sample average:
x
x
i
i 1
n
10
x
i
265.9
26.59
10
10
x
265.9
i 1
Sample standard devation:
s
mm
2
i
7354.95
i 1
7354.95
b. When each value is multiplied by 0.3937:
becomes
becomes
That is, both are mult