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3. DISTRIBUTION OF THE SAMPLE MEAN AND THE CENTRAL LIMIT THEOREM 269
{b} To determine how eighthwgrade girls feel
about having boys in the classroom, a ran- .x fix]
dom sample from a private girls school is I 2 /5
polled. . I - 2 3 H3
7.5 From the s
Yoon Suh
MATH 037
Professor B
March 14, 2013
Lab 3
#1
H0 :
=6500
Ha :
>6500
#2
One-Sample Z
Test of mu = 6500 vs not = 6500
The assumed standard deviation = 1265
N Mean SE Mean 95% CI
Z P
36 6819
211 (6406, 7232) 1.51 0.130
#3
Descriptive Statistics: Data
Yoon Suh
MATH 037
Lab 03
March 20, 2013
1. What are the appropriate null and alternative hypotheses here (make sure to define your
parameter first)?
-H0 : = 10
-Ha : < 10
2. Use Minitab to test the above hypothesis. Locate the observed test statistic on y
Term Project:
Since we have covered hypothesis testing about TWO population means, you are now
ready to think about your term project seriously. I am not going to tell you what to do,
coming up with your own idea for the project is part of the problem. Yo
Number of
samples
Size of
sample
100
100
100
100
5
15
50
200
Shape of
the
distribution
of the
sample
means
Bimodal
Bimodal
Normal
Normal
Value of
the mean of
the sample
means
Value of
the mean of
the sample
standard
deviations
4.19
3.94
3.98
4.02
2.815
2.
SUPPLEMENTAL PROBLEM SET #1
Instructions: Below are the problem numbers with their corresponding answers.
These problems will be assigned throughout the rest of the semester. These problems
are NOT from your textbook. The ACTUAL problems are in the THREE
1
Yoon Suh
MATH 037
Professor M. Bhattacharyya
February 6, 2013
Lab2
#1
Correlations: Method 1 Mean, One Minute Count
Pearson correlation of Method 1 Mean and One Minute Count = 0.939
P-Value = 0.000
Correlations: Method 2 Mean, One Minute Count
Pearson c
Experiment: The number of male and female students that use Tapingo
H0: PM = PF
Ha: PM PF
n=100,
=0.05
x1 = Males
Among 50 males, 33 of them had Tapingo
sample P = .7000
x2 = Females
Among 50 females, 35 females had Tapingo
sample P = .66000
P-value = .66
Yoon Suh
MATH 037
Lab 5
April 4, 2013
Let 1 = The true proportion of males who go the gym regularly
2 = The true proportion of females who go the gym regularly
Let H0 : 1 = 2
Ha : 1 2
Test and CI for Two Proportions: C3, Gender
Event = 2
Gender
Female
Mal
Yoon Suh
MATH 037
Mouchumi Bhattacharyya
March 28, 2013
Lab 4
#1
Exercise 11.18
Descriptive Statistics: Male Driver, Female Driver
Variable
Male Driver
Female Driver
N
10
10
N*
0
0
Variable
Male Driver
Female Driver
Mean
1.460
0.640
SE Mean
0.234
0.144
St
MATHEMATICS 37
Introduction to Probability and Statistics
Spring 2016
Instructor: Dr. Jialing Dai
Office: Classroom Building, Room 101B
Phone: 946-3025
E-mail: jdai@pacific.edu
Canvas: https:/pacific.instructure.com/login/ldap
Office Hours: Monday and Fri
Midterm One Review
Experimental study or Observational
Study
Sampling Methods
Bias in Sampling
Type of variables
Graphical Summarizing/Describing
data
Describing the distribution
Midterm One Review
Numerical summaries
Measure of center of the dist
Midterm Two Review
Identifying discrete random variables
and continuous variables
Finding probability using two-way table
(see examples in Worksheet 6-partII
and WebHW6)
Computing mean (expected value),
variance, and standard deviation of a
discrete ra