Chapter 5: Sampling Distributions
5.1: The Sampling Distribution of the Sample Mean
A parameter is a numerical descriptive measure of a population. Because it is
based on the observations in the population it is almost always unknown.
A sample statistic i
STAT 6315
Midterm 1
Name:
1. All-in-one sound systems, called mini-systems, typically include an AM/FM tuner, a
dual cassette tape deck, and a CD changer in a book sized box with two separate
speakers. The following data set shows the retail price, sound
Binomial Random Variables
Issues from Homework 1: Chapter 4
1. Students described the distribution/skew of categorical variable
2. Students interpreted the mean from the boxplot instead of median
3. Students tend you use the range of the data rather than
Sampling Variability
Tasks:
1. Bead Box Sampling
2. Add your Bead Box Sample results to the class dot plot
3. Create the dot plots for the price and weight for each of
the diamond samples
4. Calculate the mean of price and weight for each sample
of diamon
Distributions of Random Variables
Gaussian Distributions
STAT 6315
Professor Kaplan
27 Jan 2016
Named distributions of Random Variables that we will see this semester.
Categorical
Bernoulli
Quantitative
Discrete
Continuous
Binomial
Uniform
Uniform
Gaussia
Gettysburg Address
(Random Sampling)
Professor Jennifer Kaplan
Fall 2016
15 Aug 16
Task: Estimate the mean word length for all of the
words in the Gettysburg address.
Part a: Make a guess
Parts b - f: Circle 10 words, and complete through part f.
Task: Es
STAT 6315
Statistical Methods for Researchers
Professor Jennifer Kaplan
Fall 2016
11 Aug 16
Outline for the Day
Overview of STAT 6315 and the Investigative
Cycle including a Brief Tour of eLC and the
syllabus
Dolphin Therapy Activity
Plan to work about
Confidence Intervals
STAT 6315
Professor Kaplan
14 Sep 2016
What is the relationship between the margin of error, the sample size, and the confidence
level of a confidence interval?
How do we interpret the confidence level?
Creating Confidence Intervals f
Margins of Error
Most of students did really well in recognizing the difference between observational study
and experimental study. There was only onestudent using parrot response. Most of them
were able to tie the reason to context.
For 2.34:
Most of the
Sampling Distributions
Students did not
1. mention that Saturdays have the highest fatality rates
2. mention context explicitly when describing histograms and/or scatter plots.
3. describe the slope in predicted values or in the sense of average. In other
Foundational Vocabulary and Ideas
STAT 6315
Professor Kaplan
26 August 2016
What questions do you have?
Variable Type
Observational
Unit
Population
Sample
Parameter
Statistic
Sampling
Variability
Population
Distribution
Distribution of the
Sample
Experimental Design
STAT 6315
Professor Kaplan
19 & 22 Aug 2016
In an EXPERIMENTAL STUDY a researcher manipulates factors (or
explanatory variables) to create treatments, randomly assigns
subjects to treatments and then compares the response variables
acr
Chapter 11: Multiple Regression
11.1: Multiple Linear Regression Model
Models that include more than one independent variable are called multiple
regression models. The general form of these models is:
y = 0 + 1x1 + 2x2 + + kxk +
where:
y is the depende
Chapter 8: Hypothesis Testing for Proportions
8.1: Hypothesis Test for a Single Population Proportion
Recall that when we previously discussed proportions (Chapter 5), was our
sample proportion and also our best estimate of p, the population proportion.
Statistical Methods for Researchers
1.0: Statistics, Data, and Statistical Thinking
Statistics is the science of data. It involves collecting, classifying,
summarizing, organizing, analyzing and interpreting numerical information.
Statistics involves two
STAT 6315
Homework 1
1. A fast food restaurant monitors its drive-thru service times electronically to ensure that
its speed of service is meeting the companys goals. A sample of 28 drive -thru times was
recently taken and is shown here.
83
130
90
178
92
STAT 6315
Homework 3
1. Marque Electronics is a family-owned electronics repair business in Kansas City. The
owner has read an advertisement from a local competitor that guarantees all high definition television (HDTV) repairs within four days. Based on h
STAT 6315
Homework 2
1. In each of the following situations, describe the sample as a Simple Random Sample, a
stratified random sample, a cluster sample, a multistage sample, or a voluntary
response sample.
a) There are seven sections of an introductory s
STAT 6315
Homework 1 Solutions
1. A fast food restaurant monitors its drive-thru service times electronically to ensure that
its speed of service is meeting the companys goals. A sample of 28 drive -thru times was
recently taken and is shown here.
Speed o
STAT 6315
Homework 2 Solutions
1. In each of the following situations, describe the sample as a Simple Random Sample, a
stratified random sample, a cluster sample, a multistage sample, or a voluntary
response sample.
a) There are seven sections of an intr
STAT 6315
Homework 3 Solutions
1. Marque Electronics is a family-owned electronics repair business in Kansas City. The
owner has read an advertisement from a local competitor that guarantees all high definition television (HDTV) repairs within four days.
STAT 6315
Homework 4
1. A normally distributed population has a mean of 500 and a standard deviation of 60.
a) Determine the probability that a random sample of size 16 selected from this
population will have a sample mean less than 475.
b) Determine the
STAT 6315
Homework 5
1. For each of the following pairs of hypotheses, determine whether each pair represents
valid hypotheses for a hypothesis test. Explain reasons for any pair that is indicated to
be invalid.
a)
b)
c)
d)
e)
f)
2. For the following test
STAT 6315
Homework 5 Solutions
1. For each of the following pairs of hypotheses, determine whether each pair represents
valid hypotheses for a hypothesis test. Explain reasons for any pair that is indicated to
be invalid.
a)
Not Valid equals sign needs to
STAT 6315
Homework 4 Solutions
1. A normally distributed population has a mean of 500 and a standard deviation of 60.
a) Determine the probability that a random sample of size 16 selected from this
population will have a sample mean less than 475.
(
)
(
(
QM353: Business Statistics
Chapter 3
9.2. For the following hypothesis test:
with n = 64, = 9, and x = 196.5, state
a. the decision rule in terms of the critical value of the test statistic
b. the calculated value of the test statistic
c. the conclusion
9
STAT 6315
Homework 6
1. Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its
products is a traditional three-strand climbing rope. An important characteristic of any
climbing rope is its tensile strength. Descent produces
Applications of the Central Limit Theorem
Reading for Sep 12 - 16: Sections 9.1 and 9.2
Read the Project Assignment and Rubric and start looking for a
suitable data set. (NOTE: You MAY use a data set from a project on
which you are working.)
Chapter 2 Hom