1.According to the website http://womenissues.about.com/cs/abortionstats/a/aaabortionstats.htm there are approximately 126,000 abortions conducted each day throughout the world. This website includes the abortion statistics of the world and breaks the data down to the demographics of the United States. It also discusses the decisions to have an abortion and the use of contraceptives in the United States. This was an informative website and included detailed statistics conducted by the Alan Guttmacher Institute. According to the website http://www.bls.gov/cps in 2000, gon average there were roughly 135 million employed and 6 million unemployed people in the labor force in the United States.h (p. 3) The websites definition of unemployed is: gpersons are classified as unemployed if they do not have a job, have actively looked for work in the prior four weeks, and are currently available for work.h (P. 2). These statistics were collected from unemployment insurance programs. The data was informative but probably not completely accurate since the numbers only included those individuals who participated in unemployment insurance programs. According to the website www.statistics.gov.uk gthe United Kingdom population is projected to increase by 7.2 million over the period of 2004 to 2031.h (p. 1). The growth rate is based on increased future birth rates and lower death rates. The website was informative, but since this is a future prediction, there is not much supporting documentation to support the statistic.

2.The website http://www.sfsu.edu/~acadplan/ugexits01-02.htm provides an undergraduate exit survey that has to be completed during the graduation application process for San Francisco State University. The survey will be categorized into various levels of data, demographic, attitudinal, nominal, ordinal, interval, and ratio. The level of data for the questions will be identified in bold and underlined wording.

SFSU Undergraduate Exit Survey 2000-2001
X
In order to complete the graduation application process, please fill out this survey and turn it in with your approved application materials and application fee to the Student Services Center, HSS 127. If your major department collects application materials, you may send or deliver the completed survey separately to the Student Services Center, HSS 127. X

Please use black pen or pencil to completely darken the bubble of your choice. Please print clearly in the boxes. X
YOUR MAJOR (if you have a double major, please complete this section with your primary major in mind) X
Q1.What is your: major demographic Nominal question
Concentration demographic Nominal question
X
Q2.For which semester are you applying for graduation? o Summer o Fall o Spring demographic Ordinal question X
Q3.What percentage of the courses (including faculty, class materials, and your learning experience)
in your major would you rate as being high in quality?
Ratio question __________ %
Q4.Would you say that you are very dissatisfied, somewhat dissatisfied, neither satisfied nor dissatisfied,
somewhat satisfied, or very satisfied with each of the following elements as they relate to your major
program?
X
Attitude typeVery dissatisfiedSomewhat dissatisfiedNeither satisfied nor dissatisfiedSomewhat satisfiedVery satisfiedNot applicable A.Availability of classesoooooo
B.Overall quality of instructionoooooo
C.Usefulness of texts and course materialsoooooo
D.Access to facultyoooooo
E.Content and structure of the majoroooooo
F.Quality of advising about course work in your majoroooooo G.Overall quality of assistance provided by the departmentoooooo H.Opportunities for useful non-classroom experiencesoooooo IQuality of facilities and equipment such as laboratories or studiosoooooo X

Q5.Please indicate whether you strongly disagree, disagree, neither agree...

...
Final Project: Nyke Shoe Company
Barbara Greczyn
STA 201 - Principles of Statistics
Instructor Alok Dihtal
April 26, 2015
Introduction
Nyke Shoe Company has been in business for over 50 years. Over the last five years, the company has been undergoing some financial hardship due to an erratic market and an inability to understand what the consumer actually needs. In a last ditch effort to avoid bankruptcy, they have adopted a new business model which entails the development of only one shoe size. In order to achieve this goal, statistical data must be utilized and applied to make the best choice. The data used will be explained to the fullest and a conclusion will be then obtained.
Methodology
A sample group of 35 participants was gathered, 18 females and 17 males. Their heights and shoe sizes were gathered and their data was processed in three categories: shoe size, height, gender. Descriptive statistics was applied to three separate data sets, one with all participants included, one sets with just female participants, and one with just male participants. Then a two sample t-test was conducted with the assumption that there were unequal variances amongst both male and female data sets.
Results
There is a normal distribution of the data with ranges in size from size 5 to size 14 amongst the participants. With these ranges, the mean is 9.142, with a standard deviation of 2.583 and a variance...

...of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary Statistics
Mean
107.15
Std Dev
5.1536687
Std Err Mean
0.3644194
Upper 95% Mean
107.86862
Lower 95% Mean
106.43138
N
200
Sum
21430
From the table above, the total number of passengers for route 1 is 44,266, route 2 is 29,131 and route 3 is 21,430 and the total numbers of passengers for 3 routes are 94,827.
Although route 1 has the highest number of passengers and flights but it has the lowest means of passengers among the 3 routes. From...

...BUSINESS STATISTICS
Agenda
Introduction
Descriptive Statistics
One–Tailed Test About a Population Mean
t-Test Using Two Independent Samples
t-Test For Paired Samples
Analysis of Variance (ANOVA)
Regression Analysis
U.S. Patent and Trademark Office (PT0)
Descriptive Statistics
Frequency Vs Total Provisional Filings
One–Tailed Test About a Population Mean
Selected a small sample of 12 months’ provisional application filings for large US
entities (for fiscal year 1996)
1. Determine the Hypotheses
H0: µ ≤ 600
Ha: µ > 600
2. Specify the level of significance
α = 0.05
3. Compute the value of the test statistic
4. Compute the p-value
5. Determine whether to reject H0
The P-value of the hypothesis test, equals 0.68. Since this is greater than the
specified significance level α = 0.05, the null hypothesis can not be rejected.
Conclusion : The data does not provide sufficient evidence to conclude that the
mean filings of provisional applications by large U.S. entities is greater than 600.
t-Test Using Two Independent Samples
Let µ1 denote the mean provisional applications filed by US large entities in 1996,
and µ2 denote the mean provisional applications filed by US large entities in 1997.
1. Determine the Hypotheses
H0: µ1 = µ2
Ha: µ1 < µ2
2. Specify the level of significance
α = 0.05
3. Compute the value of the test statistic
4. Compute the p-value
5. Determine whether to reject H0
The P-value...

...Section 1: Review and Preview
* Chapters 2 and 3 used “descriptive statistics when summarizing data using tools (such as graphs), and statistics (such as mean and standard deviation)
* Methods of inferential statistics use sample data to make an inference or conclusion about a population
* Two main activities of inferential statistics are using sample data to…
* Estimate a population parameters
* Such as estimating a population parameter with a confidence interval
* Test a hypothesis or claim about a population parameter
* Chapter 7 presented methods for estimating a population parameter with a confidence intervals
* This chapter presents the method of hypothesis testing
* A hypothesis is a claim or statement about a property of a population
* A hypothesis test (or test of significance) is a procedure for testing a claim about a property of a population
* Main objective of this chapter is to develop the ability to conduct hypothesis tests for claim made about a population proportion “p”, a population mean “μ”, or a population standard deviation “σ”
* Formal method of hypothesis testing uses several standard terms and conditions in a systemic procedure
* CAUTION: When conducting hypothesis tests instead of jumping directly to procedures and calculations, be sure to consider context of data, source of data, and sampling method used to obtain sample data...

...Statistics 1
Business Statistics
LaSaundra H. – Lancaster
BUS 308 Statistics for Managers
Instructor Nicole Rodieck
3/2/2014
Statistics 2
When we hear about business statistics, when think about the decisions that a manager makes to help make his/her business successful. But do we really know what it takes to run a business on a statistical level? While some may think that businessstatistics is too much work because it entails a detailed decision making process that includes calculations, I feel that without educating yourself on the processes first you wouldn’t know how to imply statistics. This is a tool managers will need in order to run a successful business. In this paper I will review types of statistical elements like: Descriptive, Inferential, hypothesis development and testing and the evaluation of the results. Also I will discuss what I have learned from business statistics.
My description of Descriptive statistics is that they are the numerical elements that make up a data that can refer to an amount of a categorized description of an item such as the percentage that asks the question, “How many or how much does it take to “ and the outcome numerical amount. According to “Dr. Ashram’s Statistics site” “The quantities most commonly used to measure the dispersion of the values about...

...disposable personal income, the PCE increase by 0.0953 billion dollars
(c) Comment on the significance of model (α = 0.05)
Hypotheses:
H0: β1 =0 H1 : β1 ≠ 0
Decision rule: reject H0, if |tcalc|> |t(α/2, n-k-1)|
Where tcrit = t (0.025, 98) =1.9845
Test statistic: t = = = 48.368
Decision: Reject H0 because t calc > t crit
Conclusion: There is sufficient evidence to conclude that there is significant relationship between disposable personal income and PCE at 5% level of significance.
(d) The coefficient of determination
519797.8574/541572.1763=0.9598
It implies 95.98% of the variation in PCE can be explained by the variation in disposable personal income. The rest 4.02% of the variation in PCE is due to factors other than disposable income.
(e) Test the assumptions
1. Linear test
We can find the assumption of linearity is not violated because this plot is approximately a straight line in this diagram.
2. Independent test
Hypotheses:
H0:=0 H1: ≠ 0
Decision rule: Reject H0 if D< dL (α,k,n)
Do not reject H0 if D > du
No decision if dL < D < du
Where dL (0.05,1,100)=1.65 and du(0.05,1,100)=1.69
Test statistic: Dcalc=6192.4602748/21774.3187301= 0.2844
Decision: Reject H0 because D < dL
Conclusion: There is sufficient evidence to conclude that there is positive autocorrelation at 5% level of significance.
We can evaluate the assumption of...

...MATH 533
Project B
Summary:
a) The mean sales per week surpasses 41.5 per salesperson. This is the right assumption. Statistical evidence is sufficient to back this claim with associated probability of committing an error which is called p-value = .022. The lower limit of the 95% confidence interval is 41.654. This implies that we can be 95% confident that the average (mean) sales per week exceeds 41.5 per salesperson since 41.654 > 41.5 and therefore our confidence interval does not include 41.5. If samples of size 100 are to be taken from the population of 1000 salespeople of the company again and again, the average (mean) sales per week will exceed 41.5 per salesperson, 95% of the times.
b) The true population proportion of salespeople that received online training is less than 55%. Regarding this claim, the statistical evidence in not sufficient to conclusively say that the true population proportion of salespeople that received online training is less than 55%. The p-value associated with it is .157 or approximately 16% this is higher than the acceptable 5% level. Looking at the 95 % confidence interval, the upper bound is .582 which implies that .55 is in the interval, and therefore the hypothesis that p=.55 cannot be rejected in favor of the claim.
c) The average (mean) number of calls made per week by salespeople that had no training is less than 145. The number of salespeople without training in the sample of 100 is only 20, so the test...

...Statistics Unit 9
Lincoln College Online
Staci Morris
Statistics Unit 9
Page 581-584 #4, 5, 7, 15, and 18
4.) Describe the hypotheses for a two way ANOVA test.
Two way ANOVA Test will have three null hypotheses. One hypothesis will represent the independent variable, and its effects on the second hypothesis which is the dependent variable (main effect). The third null hypothesis is the interaction effect on both independent variables on the dependent variable.
5.) The table shows the cost per ounce (in dollars) for a random sample of toothpastes exhibiting very good stain removal, good stain removal, and fair stain removal. At a = 0.05, can you conclude that the mean costs per ounce are different?
a.) Hₒ: μ¹ = μ² = μᶟ
Hₐ: Claim- one mean is seen as being different from the others.
b.) Fₒ = 3.37 Rejection Region F > 3.37
c.) 1.02
d.) Fail to reject the Hₒ
e.) Evidence is not enough at 5% significance level to determine if the mean cost per ounce is different.
7.) The table shows the salaries (in thousands of dollars) of randomly selected individuals from the federal, state, and local levels of government. At a = 0.01, can you conclude that at least one mean salary is different?
a.) Hₒ: μ¹ = μ² = μᶟ
Hₐ: Claim- one mean is different from the others
b.) Fₒ = 5.49 Rejection Region F > 5.49
c.) 22.99
d.) Reject Hₒ
e.) There is evidence at 1% significance level to determine...