1. To perform random sampling, I used the Data Analysis function under the Data tab. Once I clicked on Data Analysis I chose the Sampling function. I then chose the Input Range of data to be random sampled. I checked the Random Sampling Method and input the number of random samples to be selected, 20. I then chose Output Range in the Output Options area of the Sampling box and selected an area on my Excel document to display the output. I clicked OK and the random samples were automatically chosen and displayed in the appropriate chosen location on my Excel document. The Sampling method in the Data Analysis add-on pack is very important to use when truly random samples need to be taken from a group of data for analysis. 2.

Part 2. Cereal and Fiber Type

Fiber Type| Frequency| % fiber|
High Fiber| 22| 26%|
Medium Fiber| 29| 35%|
Low Fiber| 33| 39%|
Total| 84| 100%|

Part 3. Milk Production

1. The sample mean of the data is 2270.54 lbs. of milk production.

2. The sample standard deviation of the milk production is 653.1822.

The data does appear to be bell shaped because the data is high in the center, low on the sides and has slightly bell flared edges.

5. The Empirical Rule states that as long as 68% of the data is within 1 standard deviation, 95% of the data is within 2 standard deviations and 99.7% of the data is within 3 standard deviations. Upon calculation, using a Standard Deviation of 653.1822 and a Mean of 2270.54, I have...

...3
Simple RandomSampling
3.1 INTRODUCTION
Everyone mentions simple randomsampling, but few use this method for population-based surveys. Rapid surveys are no exception, since they too use a more complex sampling scheme. So why should we be concerned with simple randomsampling? The main reason is to learn the theory of sampling. Simple randomsampling is the basic selection process of sampling and is easiest to understand. If everyone in a population could be included in a survey, the analysis featured in this book would be very simple. The average value for equal interval and binomial variables, respectively, could easily be derived using Formulas 2.1 and 2.3 in Chapter 2. Instead of estimating the two forms of average values in the population, they would be measuring directly. Of course, when measuring everyone in a population, the true value is known; thus there is no need for confidence intervals. After all the purpose of the confidence interval is to tell how certain the author is that a presented interval brackets the true value in the population. With everyone measured, the true value would be known, unless of course there were measurement or calculation errors. When the true value in a population is estimated with a sample of persons, things get more complicated. Rather then just the mean or proportion, we...

...key is the use of statistically derived randomsampling procedures. These ensure that survey results can be defended as statistically representative of the population. Surveys that do not follow these procedures can produce results that lead to misguided market research, strategic, or policy decisions. Any so-called "survey" in which no attempt is made to randomly select respondents, such as call-in readers' or viewers' "polls", is likely to produce results that in no way reflect overall public opinion--even if many thousands of individuals participate.
It is true that sampling randomly will eliminate systematic bias
The mathematical theorems which justify most frequentist statistical procedures apply only to random samples.
http://www.ma.utexas.edu/users/mks/statmistakes/RandomSampleImportance.html
no author,
COMMON MISTEAKS MISTAKES IN USING STATISTICS: Spotting and Avoiding Them
4/10/12
Moore and McCabe (2006), Introduction to the Practice of Statistics, Third edition, p 219
Sample Distribution and Sampling Error
Distributions of populations of scores have been discussed. However, a single score does not accurately represent the population. A sample, or subset, of the population is a better estimator of the population. Alternatively, a sample that has received some treatment can be compared to the original population. Just as there is a distribution of scores for a population, there is a...

...Definition of Sampling | Tejero,E.G.(2006)p.43Sampling affords all the members of the population an equal chance of being selected and becoming a part of the samples of the intended research. | David,F.P (2005) p.95It is the representative portion of a population or some elements in a population that will represent the entire population. | Gill and Johnson(2002)p.101All surveys are concerned with identifying the ‘research population’ which will provide all the information necessary for answering the original research question. | Mercado,C.M(2006)p.50Sampling is the process of selecting representatives of the population to save time, money and effort in gathering the research data. | | Fraenkel, Hyun and Wallen(2012) p.91Sampling refers to the process of selecting these individuals. |
Simple RandomSampling | Tejero,E.G.(2006)p.47After you have determined your sample size, do simple randomsampling through the fishbowl technique. | David,F.P(2005)p.98It is a process of selecting a sample cases or subset of sample cases from a population , giving all the sampling units equal chances of being included as a sample. | | Mercado,C.M(2006)p.50This method is used when we know the number comprising the population but do not have a complete list of their names. | | Fraenkel, Hyun and Wallen(2012)p.94It is one in which each and every member of the population has an equal and independent. chance...

...Formulas
Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:
• Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra).
• Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name:
|If your last |For part (a) of problem 92 use this information to calculate the child’s |For part (b) of problem 92 use this |
|name starts with letter|dose. |information to calculate the child’s |
| | |age. |
|A or Z |adult dose 400mg ibuprofen; 5 year old child |800mg adult, 233mg child |
|C or X |adult dose 500mg amoxicillin; 11 year old child |250mg adult, 52mg child |
|E or V |adult dose 1000mg acetaminophen; 8 year old child |600mg adult, 250mg child |
|G or T |adult dose 75mg Tamiflu; 6 year old child |500mg adult, 187mg child |
|I or R |adult dose 400mg ibuprofen; 7 year old child...

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Working with algebra you must understand why the properties of real numbers are so important. I will demonstrate my solutions to three problems and I will include my mathematical work. Also I will use five vocabulary words that help me find solutions to the problems. Properties of real numbers are useful for simplifying algebraic expression because a lot of thing we do in life are equations. We use a lot of mathematical terms in the real world. Lastly I will show every step I took to simplify and identify each property of real numbers.
The properties of algebra are important to know and understand. “Algebra is useful because it can be used to solve problems. Since problems are often communicated verbally, we must be able to translate verbal expressions into algebraic expressions and translate algebraic expressions into verbal expressions.” (Dugopolski, 2012, Chapter 1.6, ) Each expression has properties that must be simplified and solving methods. You have to know how to follow the order of operation and simplify the equations, variables and like terms in order to complete the mathematical work. Simplify is very important in all expression, must be in simplest form when completely an equations. Also you have to move and combine like terms. The coefficient of a number is in front of a variable. The coefficient is a factor that can produce a result. The distributive property is a step that multiples a term to be followed in order for the equation to be...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

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The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...ANSWER:
Sampling is that part of statistical practice concerned with the selection of an unbiased or random subset of individual observations within a population of individuals intended to yield some knowledge about the population of concern, especially for making predictions based on the statistical inference (Ader, Mellenberg & Hand: 2008). There are quite a number of sampling methods that can be employed in research and these include simplerandomsampling, systematic sampling, stratified sampling, cluster sampling, matched randomsampling, quota sampling, convenience sampling, line intercept sampling, to mention just a few.
Simple RandomSampling:
In a simple random sample of a given size (elements are randomly chosen until a desired sample size is obtained), all such subsets of the frame are given an equal chance or probability. Each element of the population thus has an equal probability of selection: the frame is not subdivided or partitioned. Furthermore, any given pair of elements has the same chance of selection as any other pair and similarly for triples, quads and so on. This minimizes the bias and simplifies analysis of the results. However, simple randomsampling method can be vulnerable to...