Sampling Distribution of Sample Proportions
Start with a 0 1 box. Let p be the proportion of 1s in the box. The box is
[ 1 1 1 . . . 0 0 0 . . . p = proportion of 1s ]
p
For this box, the mean is = p and the standard deviation is = p (1 p). Now consider d
KINE 4300 TEST #1 Review_Answers
1. What is the simplest measure of variability to calculate?
a) Range
2. With a mean of 27.1 and standard deviation of 3.9 the T scores for the raw
scores 26 and 32 are
d) 47 and 63
3. Which of the following tests will car
Statsquiz7
5.27/81=0.33
0.33+or2.58Xsqroot(0.33x0.67/81)
0.33+or0.135
0.195< p < 0.465 99 % confidence interval
There is a 99% chance that the interval we have from our small sample
of the full WMU student body will contain the actual proportion p of the
StatsQuiz8
=
>
<
12. a) null: The mean response time for arrival of a fire rescue team
in response to a
911 call is 11 minutes.
alternate: The mean response time for arrival of a fire rescue
team in response to a 911 call is longer than 11 minutes.
b) Z=
STAT 3660
Introduction to Statistics
Course pack prepared by Dr. Gerald Sievers, Summer 2013
Acknowledgement:
Robert McNutt, Judson Fonger, Barbie Bugna Jacqueline Andan, and Nichole
Andrews assisted with this material
Contents
1 Introduction
1
2 Controll
Stat1600
Midterm #2
Solution to Form A
1. Of 100 adults selected randomly from one town, 64 have health insurance. A researcher
wants to construct a 95% condence interval for the percentage of all adults in the town who
have health insurance.
(a) (10 poin
S160 #10
The Binomial Distribution, Part 2
JC Wang
February 13, 2014
TV World Example, revisited
Recall that, in TV World Example, historical data shows that
20% of TV buyers at TV World purchase extended warranty. X
extended warranties were sold along wi
Stat1600
Midterm #1
Solution, Form A
1. The high temperature on Jan 30th (in F.) for the last 5 years in a northern U.S. city is as
follows:
23,30,25,24,28
(a) (10 points) Calculate the mean, X of this data.
ANSWER: 26
CALCULATION/REASON: (show your work)
Stat1600
Midterm #1
October 7, Form A
Name:
Note: Z Table is attached (page 4).
1. On the average, a watch battery is known to last for 2 years (24 months), with a standard deviation of
8 months. Assuming that the population is normally distributed. (Hint
Stat1600
Midterm #1
Solution, Form B
1. The high temperature on Jan 30th (in F.) for the last 5 years in a northern U.S. city is as
follows:
24,28,25,23,31
(a) (10 points) Calculate the mean, X of this data.
ANSWER: 26.2
CALCULATION/REASON: (show your wor
Stat1600
Midterm #2
November 16, Form A
Name:
Note: Tables are attached (pages 5).
1. According to the 2009 current Population Survey conducted by the U.S. Census Bureau, 40% of the
U.S. population 25 years old and over have completed a bachelors degree o
S1600 #8
The Normal Percentile
January 30, 2014
Revisiting TV+More Example
Question 2
Assumption: demand follows normal (bell-shaped) curve with
mean 36 and SD 8 TV sets per month. Given the cost of
running out of stock and the storage cost of keeping too
Stat1600
Solution to Midterm #1, Form A
1. Fred is in a weekly golf league. His scores from the last n = 21 weeks are shown in the
stem and leaf plot below:
-Leaf Unit = 1
7 6778
8 012349
9 01255
10 0112
11 01
-(So, for example, the first observation unde
S160 #9
The Binomial Distribution, Part 1
JC Wang
February 11, 2014
Binomial Process and Binomial Random Variable
A sequence of (xed) n observations is called a binomial
process if
each observation results in exactly one of two possible
outcomes (convenie
S1600 #5
Estimates of Center
January 21, 2014
Importance of Location and Spread
Comparison Boxplots
of Two Payment Types
Rent
Mortgage
500
1000
1500
2000
Monthly Payment
upon inspecting the plot, the central location of Rent
appears to be smaller than tha
Stat1600
Final Exam
Solution, Form A
1. (10 points) In a study of facial behavior, people in a control group are timed for eye contact
in a 5-minute period. Their times are normally distributed with a mean of 199 seconds. It
is known that approximate 95%