Inference for distributions:
- Comparing two means
IPS chapter 7.2
Objectives (IPS chapter 7.2)
Comparing two means
p
Two-sample z distribution
p
Two independent samples t-distribution
p
Two sample t-test
p
Two-sample t-confidence interval
p
Robustness
p
Statistics 217(L01) Lab #4: Solutions
Lab Exercise 1:
1. The boxplots and the Normal probability plots of the data in columns C1 and C2 are found below.
The boxplots would suggest that the variation in the number of trama cases received by Hospital A and
Statistics 217(L01) Lab #5: Solutions
Lab Exercise 1.
H0 : pM en = pW omen , or pM en pW omen = 0. HA : pM en 6= pW omen , or pM en pW omen 6= 0.
MINITAB was used to find the counts:
Tabulated statistics: Gender (0-Male, 1-Female), SocNetworkMem?
Rows: Ge
Statistics 217 (L01) Lab #4: A Nonparametric Test and Matched-Pairs
Experimental Design
You will require the data appearing in the MINITAB file Stat217L01LabFourData.MTW. This file contains data in columns C1, C2, C4, and C5. C1 and C2 you will need for t
Statistics 217(L01) Lab #3: Solutions
Answers to Lab Exercise 1:
1. H0 : M en = W omen (M en W omen = 0) vs. HA : M en 6= W omen (M en W omen 6= 0).
2. From the boxplot, it seems as if the GPA for both male and females is normally distributed. In both
box
Chapters 4 and 5 Managing Technology and International
Technology is used in managing our operations. Data is collected, analyzed, and used to
make decisions moving the organization forward. Although there is an abundant amount
of data collected, sometime
Q 7.20
The number of pizzas delivered to university students each month is a random
variable with the following probability distribution.
x
P(x)
0
0.1
1
0.3
2
0.4
3
0.2
a. Find the probability that a student has received delivery of two or more pizzas
thi
Page 0112 2
Long answer questions
(1a) You are the manager of an affordable light-bulb company. An average lifetime of a
100 Watts incandescent light bulb is 400 hours. Your testing department tested the
lifetime of 100 light bulbs to nd out that the samp
Inference for distributions:
- for the mean of a population
IPS chapter 7.1
Objectives (IPS chapter 7.1)
Inference for the mean of one population
!
When is unknown
!
The t distributions
!
The one-sample t confidence interval
!
The one-sample t test
!
Matc
Inference for distributions:
- Optional topics in comparing distributions
IPS chapter 7.3
1
Objectives (IPS chapter 7.3)
Optional topics in comparing distributions
p
Inference for population spread
p
F test
Levenes test
Power of the two-sample t-test
2
In
Chi-Square Goodness of Fit Test
This lesson explains how to conduct a chi-square goodness of fit test. The
test is applied when you have one categorical variable from a single
population. It is used to determine whether sample data are consistent with a
h
How to Test the Equality of Variance /
Standard Deviation
We have seen how knowing if the variance of two populations are
equivalent plays a roll in determining what kind of a two-sample t-test we
perform.
Recall:
If 1 2
o We combine the two sample stand
Two-Way ANOVA with replication
The two-way analysis of variance is an extension to the one-way analysis of variance.
There are two independent variables (hence the name two-way).
Assumptions
The populations from which the samples were obtained must be nor
One-Way ANOVA
In statistics, one-way analysis of variance (abbreviated one-way ANOVA) is a technique used to compare
means of two or more samples (using the F distribution). This technique can be used only for numerical
data.
The ANOVA tests the null hypo
Multiple Linear Regression
We continue our study of regression analysis by considering
situations involving two or more independent variables. This subject
area, called multiple regression analysis, enables us to consider more
factors and thus obtain b
Chi-Square Test of Homogeneity
This lesson explains how to conduct a chi-square test of homogeneity. The
test is applied to a single categorical variable from two different populations.
It is used to determine whether frequency counts are distributed iden
Recap of Lecture 2
Recap of Lecture 2 with additional notes:
We want to estimate the population mean test score based on the data
70, 75, 74, 84, 80, 90, 83, 72, 68, 59, 60, 83,
78, 92, 77, 69, 75, 77, 73, 82, 82, 75, 74, 66, 67
We need to see if we can a
Statistics 217 (L01) - LAB #1: One-Sample Hypothesis Testing
Please attempt all Cases during this weeks lab. MINITAB use is required. If you have any questions regarding MINITAB, please feel free to ask your TA for assistance. That is what we are here for
Statistics 217 (L01) - LAB #1: Solutions
Lab Exercise 1A:
1. H0 : 3.3 vs. HA : < 3.3.
2. From the boxplot constructed, it appears as if the distribution of the variable GPA is nomrally distributed, with a mean in the neighbourhood of 3. Notice, there are
Statistics 217 (L01) - LAB #2: Type I, Type II, and Power of a Statistical Test
Please attempt Lab Exercises 1 and 2 during the lab period. The remaining two questions can be attempted
as practice.
Lab Exercise 1:
Up until this point, we have talked at le