Midterm Bonus Question Solution
Question: Suppose there are 10 rats and 30 pellets. Suppose further that the pellets
are distributed to the rats equiprobably. Find the probability that every rat receives at
least 2 pellets.
Remark: There are many ways to
Stat 401 F/XW
HW 8 sketch answers:
1) Meat pH over 24 hours (2 pt each part)
a) There seems to be lack of fit.
Residuals plot show a clear bend indicating lack of fit.
resid
0.4
0.3
0.2
0.1
0.0
-0.1
-0.2
-0.3
-0.4
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
6.0
6
Stat 401G
Lab 3
Solution
A study was done to see if the body mass of carnivores was related to the bite force the
animal produces. Twenty-five species of carnivore were randomly selected and the body
mass (kg) and bite force (N) was determined for each sp
Stat 401G
Lab 1
Solution
Use JMP to analyze the data in problem 1 below. It is not sufficient to simply hand in
JMP output. You must answer the questions completely. Hand in the JMP output attached
at the end of your written (word processed) solutions.
1.
04:37 Friday, October 19, 2012 1
Stat 401 F / XW Homework 7 answers
1) Wine and mortality (1 pt each part)
a)
No, a linear regression model is not appropriate. The relationship looks curved.
b) The other three plots are:
04:37 Friday, October 19, 2012 2
L
1
Statistics 401 Spring 2013
Exam 2 - Sample Questions
1. (5 pt) In class we pointed out that in a test of a reduced model (with fewer
parameters) against a full model (with more parameters) we give a priori
preference to the reduced model, against which
Stat 401B Exam 2
November 4, 2008
Name: _
INSTRUCTIONS: Read the questions carefully and completely. Answer each question
and show work in the space provided. Partial credit will not be given if work is not
shown. Use the JMP output. It is not necessary t
Statistics 401D/XE Statistical Methods for Research Workers Second Exam
Spring, 2008 Prof. Shelley
Answer all parts of each of the following problems. Show all of your work, to obtain maximum partial credit. This exam constitutes 25% of the final c
Statistics 401D/XE Statistical Methods for Research Workers Second Exam
Spring, 2008 Prof. Shelley
Answer all parts of each of the following problems. Show all of your work, to obtain maximum partial credit. This exam constitutes 25% of the final c
Stat 401G: Quiz 2 Homework Solutions For Wednesday September 14, 2011 Note: On a quiz and test, I will give you the sample mean and standard deviation. For this homework, let JMP calculate these statistics. In my solutions, I will carry the decimals out f
Solutions to HW7, Stat 401 Spring 2011
(1). Ch. 10 #18. Here we have I = 5 groups, consisting of J = 4
observations each, with respective group means and sample variances
i=1
cfw_Xi 5 = (12.75, 17.75, 17.50, 11.50, 10.00)
cfw_Si2 5 = (17.583, 12.917, 4.3
Stat 401, Sample Final Exam Problems adapted from Dec. 1995
INSTRUCTIONS FOR THE FINAL EXAM
The examination consists of 10 short-answer questions. Choose any 10
questions to answer from the 12 questions given. Each question counts 10
points.
The exam is c
Statistics 401 XW
Statistical Methods for Research Workers
Xin Wang
Summer, 2017
Final Exam
Instructions: Answer every part of each of the five questions on this exam. Show all of your
work. You may earn partial credit for incorrect or incomplete answers
Solutions to HW1, Stat 401 Spring 2011
(1). (a) Here S = X1 + + X100 , where the Xi random variables
are independent identically distributedf (iid ) with density f (x) = 2x for
0 x 1. Therefore
E(S) = E(X1 ) + + E(X100 ) = 100 E(X1 ) ,
where
1
E(X1 ) =
Va
Solutions to HW6, Stat 401 Spring 2011
(1). Ch. 14 #8. By my reading, category (1) consists of 15 days out of
365, (2) consists of 47 out of 365, (3) of 121 out of 365, and (4) of the remaining 182 out of 365. Thus the null-hypothesis p0 = (15/365, 47/365
Solutions to HW5, Stat 401 Spring 2011
(1). Extra Problem on web-page (a). This one sided P-value is
1 (24 22.7) 31/8) = 0.183.
(b). For power, take 1 (22.7 + z.05 8/ 31 25)/(8/ 31) = .482.
(c) Now we nd as p-value: 1 Ft30 (24 22.7) 31/8) = 0.186. In
calc
Solution: Homework 9
(8.2.5)
(a) 1.00 (3.355)(0.24), which equals to (0.19, 1.81) or 0,19 < D < 1,81 lb.
(b) We are 99 % condent that mean weight loss on mCPP is between 0.19 and 1.81 lb greater
than when on placebo.
STAT 371
page. 1
.
STAT 371
page. 2
Solutions to HW3, Stat 401 Spring 2011
Note: since #38(b) on p.277 is a tolerance interval, a topic I said we
skipped, the 5 points for that problem are extra-credit. So the denominator
for this HW is 75 points.
(1). You were asked to exhibit CIs for 100
Solutions to HW4, Stat 401 Spring 2011
(1). #10, pp. 293-4. (a). H0 : = 1300, HA : > 1300. (b).
Under H0 , X N (1300, 602 /20), and type I error probability =
1 (1331.26 1300)/(60/ 20) = .010. (c). When = 1350, llX
2
N (1350, 60 /20), and the probability
Stat 401XV Lab #9
There is an R code set at the end of this lab and posted on the course web page that will prove useful
for doing this lab. Use it in answering/doing the following. This lab concerns computing and the
Glass/Phosphor example used in lectur
Stat 401 XV Lab 8
1. Consider again the Stackloss/ Nitrogen Plant data.
a. Make the Analysis of Variance Table (exactly as described in lecture) for testing the
hypothesis B2= B3=0 in a model that includes x1, x2, x3 as predictors. What is a corr
#Course: STAT 401D, Fall 2016
#Lab Assignment 1 Key: Visualizing Data
#Author: Professor Olga Chyzh
#Open dataset:
mydata<-read.csv("course_survey.csv", sep=",", head=T)
#1A. Check what variables are included:
ls(mydata)
#1B. Check how many missing observ
#Author: Professor Chyzh
#Homework 3 Key: The Sampling Distribution of the Mean
#Date: Sept 9, 2016
#1. Write a loop that draw samples of 10, 50, 100, 250, 500, 1000, 5000, and
1000 from
#a standard normal and displays sample size and mean:
for (i in c(10
1.
The constant term of regression can be interpreted as the average value of the dependent variable
when all other variables are zero. So wecan say that when all other variables equal, the average monthly
premium paid is $177
The regression coefficient f
Stat 401XV Lab #5
1. Simulate 10,000 sets of observations from Vardeman's "brown bag" (a distribution that is
normal with mean 5.0 and standard deviation 1.715). Treat the first 5 observations in each set as
"the sample" available upon which to do inferen
Stat 401XV Lab #4
1. Start RStudio and type the attached Code Set #1 into the upper left pane and run it. This is a
simulation version of the "propagation of error"/"error analysis" problem of Section 5 Exercise 2,
Section 5.5 page 321 of V&J.
a) Approxim
Tyler Klein, Section XV
1. Start R Studio and in the R pane, create a vector, x, with entries 1,1,2,3,4,5,3,4.
2. Create another vector, y, with entries 10,8,8,9,5,3,4,2.
3. Evaluate all of the following: 2*x, exp(x), x*y, x+y, the matrix product of the v
Stat 401XV Lab #3
1. Start RStudio and in the upper left pane type the code below and run it.
What gets plotted? (You may investigate the curve(),dunif(), and punif() functions by, for
example, typing ?curve() in the R pane and reading documentation in th
Stat 401XV Lab #2
1. Start RStudio and in the upper left pane, write code for creating a vector, x, with entries 0,1, 2,
,10.
2. Add the following code to the text processing pane and run all the code.
plot(x,dbinom(x,size=10,prob=.2),type="h",ylim=c(0,1)