Math 338
Lab Assignment #5 Parts I-II
Fall 2017
Due Tuesday (09/26)
Part I. Means for Normal Distributions
A central idea in Statistics is the notion of sampling variability. Specifically, we have noted how a sample
estimate (i.e. a statistic such as x or
Math 338
Lab Assignment #3
Fall 2017
Due Tuesday (09/12)
The goal of this lab is to perform background and exploratory data analysis on a real dataset from a real
experiment. By making and interpreting various graphical and numerical summaries of the data
Math 338
Lab Assignment #4
Fall 2017
Due Tuesday (09/19)
Part I. Relative Frequency
Suppose a random experiment is repeated many times, for example, a fair coin is flipped 1000
times. The outcome from a single flip of the coin is either Heads or Tails. If
Math 338
Dr. Wynne
Quiz 2
1. You perform a study testing a drug that is supposed to improve testosterone levels. Below each
question, circle the name of a plot/graph that you would use to depict the answer (1 pt each):
(a) How many subjects were elderly/m
Math 338
Dr. Wynne
Quiz 1
1. Investigators planted pine seedlings in a greenhouse in either full light or light reduced to 5% of normal.
At the end of the study, they dried the young trees and weighed them.
(a) (1 pt) What are the experimental unit(s)/sub
Math 338
Dr. Wynne
Quiz 3
1. All human blood can be ABO-typed as one of O, A, B, or AB, but the distribution of the types
varies a bit among groups of people. Here is the distribution of blood types for people in a country.
Blood Type
Proportion
A
0.3
B
0
Math 338
Dr. Wynne
Quiz 4
1. The following table gives the distribution of the number of servings of fruits and vegetables consumed
per day in a population.
Number of servings
Probability
0
0.1
1
0.1
2
0.1
3
0.2
4
0.2
5
0.3
Let X be the number of servings
Math 338
Dr. Wynne
Quiz 5
1. In a city, the mean monthly rent for a sample of 15 unfurnished one-bedroom apartments advertised
in the local newspaper is $1700. Assume that the standard deviation is $240 and that this sample can
be treated as a simple rand
Math 338
Lab Assignment #2
Fall 2017
Due Tuesday (09/05)
The goal of this lab is to start getting you comfortable using the Rguroo point-and-click interface. We will
do so by creating summaries and plots of three different datasets. Along the
Math 270A
Name_
Fall 2017 Worksheet 3 section 3.1
Directions: Print out this worksheet and write your answers directly on it.
1.
Consider the function ( ) = log 4 ( 5), where the domain is the set of all real numbers greater than
5, and the codomain is th
Math 270A
Name_
Fall 2017 Exam 1
1.
(8 points) Multiple choice. Circle the letter of the correct answer.
What relation must hold with the sets and in order for the given condition to be true?
=
a.
b.
c. =
Answer: b
b.
c. =
Answer: b
b.
c. =
Answer
Math 270A
Name_
Fall 2017 Worksheet 2 section 3.1
Directions: Print out this worksheet and write your answers directly on it.
1.
Consider the function ( ) = 8 , where both the domain and codomain are the set of all
nonnegative integers.
a. Prove that the
Math 270A
Name_
Fall 2017 Introduction to chapter 1
1.
Fifty people were asked if they like apples or broccoli. Eight people say they dont like either. Of the
34 people who like apples, some say that they also like broccoli. Of the 19 people who like broc
Math 270A
Name_
Fall 2017 Worksheet 1 Section 1.3
Directions: Each problem is multiple choice and has only one correct answer. Circle the letter of the
correct answer. (You are not required to show your work, but doing so could be helpful.)
1.
Choose the
Section 3.2: Marginal Analysis
Many economics decisions are based on analysis of cost and revenue at the margin. For
example, a trucking company owner needs to decide whether to add another truck to a
route. Based purely on financial grounds, if the added
CHAPTER 3: APPLICATIONS OF DIFFERENTIATION
Section 3.1: Differentials and Linear Approximation
In this section, we study how knowing the derivative at a point can help us to estimate the
values of the function at nearby points. We start with an example.
E
Section 3.3: How Derivatives Affect the Shape of a Graph
In this section, we examine more deeply the relationship that exists between the graph of a
function and its derivative. The study will reveal how the sign of the first derivative on an
interval ind
Section 2.8: Chain Rule and Derivatives of Log Functions
Composition of Functions and the Chain Rule
Definition
The composed function , the composition of and , defined as
= .
Example 1. For = 3 and = 1 + 2 , find
a.
b.
Example 2. Suppose that = 2 + 3
Section 2.7: Extended Power and Natural Exponential Rules
The Extended Power Rule
Some functions are considered simple. Simple is a subjective concept, and it may be best to illustrate
what it means with examples. The following functions are considered si
Section 2.2: Limits and Continuity
Using numerical and graphical methods for finding limits can be time consuming. In this section, we
develop methods to more quickly evaluate limits for a wide variety of functions. We then use limits to
study continuity,