1.How you would use the concept of probabilities to apply to profiles for hiring more satisfied individuals and 2.Other ways that probability is used in business (Use the Business Source Elite Database in the Cybrary, research how probability is used in business). Begin your email to AIU by first providing an overview of the database, i.e., a story. Include the following pieces of information.

Part I
a) What is the gender distribution (%females and %males)?
Solution. From the database, we know that there are 168 female people, 120 male people among 288 people. So,
168/288=58.33% is female, 120/288=41.67% is male.

b) What is the “tenure with company” distribution by gender? We look at all males. You can do that for females similarly. We get the following table.

From this table, we know that there are 120 males:
26 with code 2 meaning they stay in the company for 2 to 5 years.” 14 with code 3 meaning they stay in the company over 5 years” 80 with code 1 meaning they stay in the company for less than 2 years So, the “tenure with company” distribution by male is

26/120=21.67% among 120 males stays in the company for 2 to 5 years. 14/120=11.67% among 120 males stays in the company over 5 years; 80/120=66.66% among 120 males stays in the company for less than 2 years. c) What % of the survey participants are in each department? By the database, we know that 11 people from the department 1; 100 people from the department 2; 177 people from the department 3; So, 11/288=3.8% from the department 1;

100/288=34.7% from the department 2;
177/288=61.5% from the department 3.

d) What is the mean overall satisfaction by gender?
We get a table for male.
Column1

... Resulting test statistic for difference between proportions:
Chapter 10 Regression Analysis: Estimating Relationships
Formula for Correlation:
Slope in simple linear regression:
Intercept in simple linear regression:
Y is the dependent variable, and X1 through Xk are the explanatory variables, then a is the Y-intercept, and b 1 through bk are the slopes. Collectively, a the bs in the equation are called the regression coefficients.
Standard Error of Estimate:
R squared / R^2
General Linear Regression:
Regression line:
Sampling distribution of a regression coefficient has a t distribution with n-k-1 degrees of freedom:
ANOVA - total variation of a variable
The part unexplained by the regression equation:
The part that is explained:
SSR = SST - SSE
Point Prediction: Standard error of the prediction for a single Y:
Standard error of prediction for the mean Y:
Chapter 11, Regression Analysis: Statistical Inference
Population regression line joining means:...

...used only as labels and nothing else.
Ordinal Scale: The way we rate one player above the other signifies ordinal scale, the grade used is used to signify who is a better player or more senior in the team. This can also be used to discuss about the batting order, the numbers here will suggest when the batsmen will come to play.
Quantitative Variable
Interval Scale: An example of interval scale is overs which are bowled, we cannot say that the fourth over takes four times much time as the first over, but we can say that there are eighteen balls difference between the first and the fourth over
Ratio Scale: Here this can be applied while counting the no of 50’s and 100’s scored by a batsman. We can say that “Sachin Tendulkar” has scored twice the no of centuries than another batsman. Also here we can apply such concepts such as averages.
Percentiles and Quartiles
Percentile- It is the value below which lie P% of numbers in the group.
Table shows runs scored by Tendulkar from 1989 to 1999.
Sachin Tendulkar
215
373
78
419
640
700
623
1000
647
1088
Now we can calculate the percentiles
To find the 50 percentile by
a) Formula Method
Arrange data from smallest to largest
Sachin Tendulkar
78
215
373
419
623
640
647
700
1000
1088
(n+1)P/100= (10+1)50/100=11*.5 =5.5.
The 5.5 position will be between 623 & 640.
It is around 631.5
b) Excel Sheet
Here we use the formula for calculating the percentiles. We...

...Abstract
In this experiment, the absorbance of KMnO4 was measured by spectrophotometric method to determine the molar concentration and the molar extinction coefficient of KMnO4. In part 1, in order to determine the maximum absorbance wavelength of KMnO4, we measured the absorbance of the sample solution which contains KMnO4 at the wavelengths between 330nm and 660nm, and plotted the λ and A points; the λmax was 530nm. In part 2, the effect of concentration on the absorbance was examined. We prepared five differently concentrated (but, same path length) solutions, and measured the absorbance of them at the λmax(530nm) discovered in part 1; According to the results, higher concentrated solution had higher absorbance value. The extinction coefficient(ε) could be calculated from the results determined in part 2 and Beer’s Law; ε = 1.7 x 103. In part 3, the absorbance of the KMnO4 solution of unknown concentration was measured, and using Beer’s law and dilution equation, the initial concentration of the unknown was determined; The concentration of the solution (unknown # : 15) was calculated to be 3.3 x 10-3M.
Introduction
Our eyes are sensitive to light which lies in a very small region of the electromagnetic spectrum labeled "visible light". This "visible light" corresponds to a wavelength range of 400 - 700 nanometers (nm) and a color range of violet through red. The human eye is not capable of "seeing" radiation with wavelengths outside the visible...

...Quantitative Research MethodsQuantitative means quantity which implies that there is something that can be counted. Quantitative research has been defined in many ways. It is the kind of research that involves the tallying, manipulation or systematic aggregation of quantities of data (Henning, 1986)
John W. Creswell defined quantitative research as an inquiry into a social or human problem based on testing a theory composed a theory composed of variables, measured with numbers, and analysed with statistical procedures in order to determine whether the predictive generalisations of the theory holds true. (Creswell, 2003)
On the other hand, another author defined quantitative research as the collection of numerical data in order to explain, predict and/or control phenomena of interest. Quantitative research is explaining phenomena by collecting numerical data that are analysed using mathematically based methods (Aliaga & Gunderson, 2000)
Quantitative research can also be said to be a research based on traditional scientific methods, which generates numerical data and usually seeks to establish causal relationships (or association) between two or more variables, using statistical methods to test the strength and significance of the relationships (A dictionary of Nursing, 2008)
Simply put, quantitative...

...QuantitativeMethods of Data Analysis
Sales Force Survey
Respondent number: 01
1. Are you male or female? (1) Male (2) Female
2. What is the name of your employer? (1) Jones and Sons
(2) Smith and Company
(3) Tomkins
3. In which area of the country do you work?
(1) North (2) South
4. Please circle your response to the following three questions, using the following scale: 1 “strongly agree” 2 “agree” 3 “uncertain” 4 “disagree” 5 “strongly disagree”
4a) In general I enjoy my job 1 2 3 ④ 5
4b) In my company, hard work gets rewards 1 2 3 4 ⑤
4c) I often wish I was doing a different job ① 2 3 4 5
5. How many customers did you visit last month? 43
6. What was your total sales value last month? 3450.60___
7. What was your total sales value this month? 4628.90___
8. Enter the date you started working for your present employer: _1_ _6__ _88__
Codebook for sales_force_survey.sav
|Full variable name |SPSS variable|Coding instructions |
| |name | |
|Identification number |id |Subject identification number |
|Sex |sex |1 = males; 2 = females...

...BACHELOR OF COMMERCE (HONOURS) DEGREE
QUANTITATIVEANALYSIS FOR BUSINESS II April/May 2001 Final Examination Instructions to Candidates
1. 2. 3. 4. 5. Answer all questions in Section A Choose and answer three (3) out of five (5) questions in Section B. Answer both questions in Section C Graph Paper will be provided You may use a Non-Programmable Scientific Calculator
CIN 1207 Duration: 3 Hours
SECTION A ANSWER ALL QUESTIONS Question 1 (a) Assume that the sales made by a used car salesman occur like events in a Poisson process with λ = 1 per week. What is the probability he makes exactly 3 sales in a two-week period?
[4 Marks]
(b)
Given a box with 2 25-watt, 3 4-watt and 4 100-watt bulbs, in how many ways could 3 bulbs be selected from the box?
[2 Marks]
(c)
Suppose your doctor recommends that you go on a particular diet for 2 weeks. Considering your build and bone structure, he assumes that the amount of weight You will lose is equally likely to lie between 5 and 10kgs. What is the average amount you might expect to lose on such a diet, given that X is the number of kgs you will lose and
⎧ f x ( x) = 1 5 ⎨ =0 ⎩
5 < x < 10 otherwise
[5 Marks]
(d)
A student takes a multiple-choice exam which contains 8 questions, each with 3 alternative answers. Assume that he is guessing when answering each question. Then the probability that he answers a question correctly is question. What is the probability that he misses them all?
1 3
for each
[5...

...Final Assignment Take-Home Exam – Example Solutions
QUANTITATIVEANALYSIS AND BUSINESS DECISION MAKING
Question 1 – 5 Points
Leila took a standardized test and was told that her score was in the 89th percentile. Explain clearly and in only one sentence what this means. Notes:
Percentiles are a way of describing the position of a particular score within a set of scores As per the question, I was looking for one simple sentence to explain the meaning of the statement
Ideal Answer: If Leila’s score was in the 89 percentile this means that Leila scored higher than 89% of participants in the test.
th
Question 2 – 10 Points
A gas station near the Emirates Road is revaluating its gasoline-fuel reorder point. The gasoline fuel level in its main tank triggers an automatic replenishment order. The daily demand faced by the station for gasoline is normally distributed with an average of 8,000 liters and standard deviation of 2,500 liters. After the automatic order is placed, the gasoline-fuel is received at the gas station in exactly 3 days. In other words, it takes three days lead time for the gasoline to be replenished after the order has been made. At what volume should the re-order point be set to ensure that the station’s chance of being out of stock during the replenishment period is limited to a probability of 5%? Notes:
Those people who did not score full points on this question usually made it more complicated than it is. ...

...Calculate Pearson's Correlation
Using Microsoft Excel
Correlation Analysis using Excel
The correlation coefficient allows researchers to determine if there is a possible linear relationship between two variables measured on the same subject (or entity). When these two variables are of a continuous nature (they are measurements such as weight, height, length, etc.) the measure of association most often used is Pearson’s correlation coefficient.
This association may be expressed as a number (the correlation coefficient) that ranges from –1 to +1. The population correlation is usually expressed as the Greek letter rho (r) and the sample statistic (correlation coefficient) is r.
The correlation measures how well a straight line fits through a scatter of points when plotted on an x – y axis. If the correlation is positive, it means that when one variable increases, the other tends to increase. If the correlation is negative, it means that when one variable increases, the other tends to decrease. When a correlation coefficient is close to +1 (or –1), it means that there is a strong correlation – the points are scattered along a straight line. For example, a correlation r = 0.7 may be considered strong. However, the closer a correlation coefficient gets to 0, the weaker the relationship, where the cloud (scatter) of points is not close to a straight line. For example, a correlation r = 0.1 might be considered weak. For scientific purposes, a...

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