2009 Final B
1. NBA cards
H 0 : 1 0.3, 2 0.6, 3 0.1
H1 : at least one of the j the differs from the hypothesized value
2 ( f j e j )2 /e j
j
49 30 30 44 60 60 7 10 10 17.2
2
2
2
c m 1 3 0 1 2
2
0.05
(3) 5.991 17.2
Reject H 0
2. ANOVA
a) One-factor mode
Mathematical Statistics and Its Applications (Version B)
Final Exam, Spring 2009
8:00-10:00 a.m., June, 16th, 2009
NOTICE 1: Please turn in the exam paper before you leave.
NOTICE 2: Some (right-tail) quantiles of standard distributions may be needed.
The
Final Exam (Version B), Spring 2008
8:00-10:00 a.m., June, 20th, 2008
NOTICE 1: Please turn in the exam paper before you leave.
NOTICE 2: You may need the two quantiles of a standard normal distribution:
z0.025 = 1.96, z0.05 = 1.65.
1. (8 points) Multiple
1. (i) C
(ii) C
2. (i)
ANOVA table for the three-mean model
Sum of Squares
D.F.
Mean Squares
F-stat
p-value
Between Group
18.0493
2
9.02465
14.3097
0.0000
Within Group
17.028
27
0.630667
Total
35.0773
29
(ii) Hypothesis: H0: A = B =C
H1: Not all the means
Chapter 9
One-Sample Hypothesis Tests
Chapter Contents
9.1
9.2
9.3
9.4
9.5
9.6
9.7
Logic of Hypothesis Testing
Statistical Hypothesis Testing
Testing a Mean: Known Population Variance
Testing a Mean: Unknown Population Variance
Testing a Proportion
Power
Chapter 7
Chapter 7: Continuous Probability
Distributions
Chapter Contents
7.1
7.2
7.3
7.4
7.5
7.6
7.7
Describing a Continuous Distribution
Uniform Continuous Distribution
Normal Distribution
Standard Normal Distribution
Normal Approximations
Exponential
60
40
0
20
Frequency
Boxplot of x
0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0
80
Histogram of x
0
2
4
6
8
10
x
Some Old Midterm Exam Problems
1. 200 data points are collected and their histogram and boxplot are presented
above.
(i) Describe the shape of the d
