Chapter 3 Elementary Descriptive Statistics
Given precise enough measurement, even supposedly constant process conditions produce differing responses. For this reason we are not as interested in indi
STAT 105, Practice Exam 1
Ghosh
1. A In a series of experiments to study the purity of a chemical product, the reactor temperature is
set at 55 C. The variable reactor temperature is a
a. Experimental
Chapter 5 Probability: The Mathematics of Randomness Section 5.1: (Discrete) Random Variables
Definition 1: A random variable (rv) is a quantity that (prior to observation) can be thought of as depen
l
STAT 105 (Exam 1) gal M7 0 Ghosh
(4 points) Frequently, several measurements of a quantity are made under similar conditions
using a single measuring device and are then averaged to produce a nal
STAT 105, Practice Exam 1 Ghosh
1. A In a series of experiments to study the purity of a chemical product, the reactor temperature is
set at 55 C. The variable reactor temperature is a
a. Experimental
STAT 105, Practice Exam 2 Ghosh
1. Consider a discrete random variable X with the probability function as specified below.
. ~ . . O X<~Z
a. Find the cumulative probability function of X. 0 2 ( I
Homework 6
Shangxuan Han
P344 Q2
Y bar = 142.7 S = 98.2 n=26
A) 90% two sides CI = 95% one side.
P(Z<b) = 0.95 -> b=Q(0.95) -> b=1.645
So interval is [y bar - 1.645*s/sqrt(n) , y bar + 1.645*s/sqrt(n)
Homework 4
Shangxuan Han
P 243 Q1:
a)
x
2
3
4
5
6
f(x)
.1
.2
.3
.3
.1
F(x)
.1
.3
.6
.9
1
B)
The mean of the x = 0.1*2+0.2*3+0.3*4+0.3*5+0.1*6=4.1
The standard deviation of x =
0.1*(2-4.1)^2+0.2*(3-4.1
Chapter 2 Data Collection
Section 2.1 General Principles in the Collection of Engineering Data The performance of measuring equipment must be known to be adequate. Equipment should be recalibrated a
Chapter 4: Describing Relationships Between Variables Section 4.1: Fitting a Line by Least Squares
Suppose that we have two variables x and y and that we wish to describe the relationship between them
Chapter 6 Introduction to Formal Statistical Inference Section 6.1: Large-Sample Confidence Intervals for a Mean
In most real-world situations values of interest based on an entire population are unk
Stat 105- Homework 8
Due 11-8-12
1. A company manufactures mints that have a label weight of 21.55 grams. It regularly samples
from the production line and weighs the selected mints. During one mornin
P13.4 In Computer Science, there are some situation in which the investigator has to deal with
paired data. A good example of paired data is the before and after states of an object of a
programmed cl
Homework 3
Shangxuan Han
P116 Q8:
A) Q(.84) -> (i-0.5)/10=0.84 -> i=8.9
Q(.84) = 0.1*15.21+0.9*16.04=15.957
B) (1-0.5)/10=0.05 -> Q(.05) = -1.65
(2-0.5)/10=0.15 ->Q(.15) = -1.04
So the two coordinates
Homework 3
Shangxuan Han
P116 Q8:
A) Q(.84) -> (i-0.5)/10=0.84 -> i=8.9
Q(.84) = 0.1*15.21+0.9*16.04=15.957
B) (1-0.5)/10=0.05 -> Q(.05) = -1.65
(2-0.5)/10=0.15 ->Q(.15) = -1.04
So the two coordinates
Chapter 1 Introduction
*Read Chapters 1 and 2 What is Statistics? Statistics is the scientific application of mathematical principles to the collection, analysis, and presentation of data.at the foun