Question: 7.15 Given a normal distribution with = 100 and
= 10, if you select a sample of n = 25, what is the probability
a. less than 95?
b. between 95 and 97.5?
c. above 102.2?
d. There is a 65% chance that
is above what value?
a. P( <
A) The probability that the sample mean X, is less than 95 is given by
The cumulative property value corresponding to the value of Z is 0.00621
B) The Z value of 97.5 is: Z=X-x/x=
The cumulative probabilities f
7.1 Given a normal distribution with m = 100 and s = 10, if
you select a sample of n = 25, what is the probability that X is
Sample size - n = 25
Sample mean - = 100
Sample standard deviation - = /n = 10/25 = 2
a. less than 95?
z - score = x-/ = 95-100/2
8.1 If X = 85, s = 8, and n = 64, construct a 95% confidence
interval estimate for the population mean, m.
8.9 A bottled water distributor wants to estimate the amount of
water contained in 1-gallon bottles purchased from a nationally
known water bottling
ETHICAL ISSUES IN BUSINESS STATISTICS AND THE USE OF CHRISTIAN VALUES 1
Ethical Issues in Business Statistics and the use of Christian Values
Grand Canyon University: BUS-352
July 17, 2016
Instructor Eric Liu
ETHICAL ISSUES IN BUSINESS STATIST
A study of Kickstarter projects showed that 54.2% were successful,
that is, achieved its goal and raised at least the targeted goal
amount. In an effort to identify network dynamics that influences
success, projects were subdivided into projects of o
A) The expected value (Mean) for each distribution can be calculated using the expected value formula
B) cfw_[0-2]^2 0.1+[1-2]^20.2+[2-2]^2 0.45+[3-2]^2 0.15+ [4-2]^2 0.5+[5-2]^2 0.05=1.18
Given n=7 a
The Null & Alternative Hypothese
H0: 1 = 2
Ha: 1 2
Level of Significance
Degrees of Freedom
t-Critical Values a Two-Tailed Test
a = 0.05
n1 + n2 -2 = 100 + 72 = 172
SSA = 240
n - c = 28
SSW = 560
n - 1 = 31
SST = 800
Df (amoung) = c - 1 = 4 - 1 = 3
Df (within) = n - c = 32 - 4 = 28
Df (total) = n - 1 = 32 - 1 = 31
SSA = 8
The following information is collected from students
upon exiting the campus bookstore during the first week of
a. Amount of time spent shopping in the bookstore
b. Number of textbooks purchased
c. Academic major
Module 2 DQ 2
What ethical issues should you consider when creating a graph of data?
The purpose of any graph is to provide a picture representation of corresponding data. With
any graph of course there are ethical standards and practices which can make o
Module 3 DQ 1
Assume the financing gurus of a weekend investment television program predicted a 50%
chance of XYZ stock gaining in January and a 50% chance of gaining in February. Your
financial advisor sees this and tells you there is a 100% chance XYZ s
Module 3 DQ 2
Marie claims she can predict the sex of pregnant women's babies. She sees 1,000 women a
year, and she always predicts a female. She charges $1,000 for a prediction, and she always
predicts a female (although clients do not know that). When s
Module 4 DQ 2
Describe the term mutually exclusive. Provide some examples. Must the values of x in a
discrete probability distribution always be mutually exclusive? Why or why not? Provide an
Mutually exclusive is a term used in statistics to des
Module 4 DQ 1
Provide some examples of discrete and continuous variables. What attributes of these
variables make them discrete and continuous? Why?
There are 80 books in the original King James Bible, there are 2 people and 2 dogs in my
household and we
Module 5 DQ 1
You just saw an ad on television that states the majority of the population would vote to
make smoking illegal. The poll that is referenced shows 53% of those asked supported
making smoking illegal. In the fine print at the bottom of the scr
Module 5 DQ 2
Many people believe that a larger sample is always better. What do you think? Explain.
While the size of the sample is important, I believe that it is essential to ensure that it is fully
representative of the entire population which means t
Module 6 DQ 1
Your mayor just announced that the local unemployment rate dropped last month from the
prior month. It went from 10.5% to 10.4%. Is this a significant drop? Explain.
At first glance this seemed like an insignificant drop because the differen
Module 2 DQ 1
Referring to Chapter 2 Excel Guide, EG2, Section EG2.5 in the textbook, create a histogram
on some sample data using Microsoft Excel. Post your file to the Discussion Forum in
response to this DQ. What are some specific challenges related to
Module 1 DQ 2
In conducting a survey, what do you think is even more important than the size of the
I believe that eliminating bias is by far and wide the single most important part of conducting a survey. If
I survey one-hundred illegal immi
Module 1 DQ 1
The media often attempts to predict the outcome of national elections. Why are they often
wrong? Based on the concepts presented in this module's readings, how could the system be
I believe, in reality the predictions of elections,
Module 6 DQ 2
Give an example of a situation in which you believe a Type I Error is more serious. Give an
example of a situation in which you believe a Type II Error is more serious. In each case, why
do you think so?
I believe that the seriousness of Typ
Module 7 DQ 2
Your manager, who just read an abridged version of a statistics book, wants you to test
hypotheses for the difference in two population means. The sample sizes for each are 23. He
is adamant that you perform a z-test. What would you tell him
a) Let ^1 be the true mean computer anxiety experienced by males and ^2
be the true mean computer anxiety experienced by females.
Null hypothesis: There is no significant difference between the mean computer
anxiety experienced by males and females.
The objective of the study is construct ANOVA table. The summary statistics are as follows.
Number of Groups, c=4
Number of values in each group, n^j=8
Total number of values in all groups
Mean square among groups, MSA=80
Module 8 DQ 2
A client gives you a data set of 30 observed values that represent the number of gallons of
gas that 30 individual Nissan Sentra owners purchased at the gas pump last month. Your
client wants to know if the data set represents a normal distr
Each day at a large hospital, several hundred laboratory
tests are performed. The rate at which these tests are done improperly
(and therefore need to be redone) seems steady, at
about 4%. In an effort to get to the root cause of these nonc
Fitting a straight line to a set of data yields the following
= 16 - 0.5X
a. The meaning of Y intercept, b is the predicted value of Y when X equals O.
b. The meaning of slop, b is the predicted change of the val
Question: 3.3 The following set of data is from a sample of n=7: 12 7 4 9 0 7 3
a. Compute the mean, median, and mode.
b. Compute the range, variance, standard deviation, and
coefficient of variation.
c. Compute the Z scores. Are there any outliers?
Probability for X <=
Probability for X >
Probability for X<5.8 or X >26
P(X<5.8 or X >26)
Confidence Interval Estimate for the Mean
Population Standard Deviation
Standard Error of the Mean
Interval Half Width
2.9) A study of Kickstarter projects showed 54.2% were successful,
When identifying network dynamics that influences
success, projects were subdivided into projects of owners who had
backed other projects and projects of owners without backing
If you use a 0.10 level of significance in a two-tail hypothesis
test, what is your decision rule for rejecting a null hypothesis that
the population mean equals 500 if you use the Z test?
The decision rule f