Verified Document

Normal Distribution Is Very Much Term Paper

Related Topics:

We have a random sample of n from the population. We can find the mean and standard deviation of the proportion of that sample that has the characteristic. X 1, X2, ..., Xn are n random variables that are independent and identically distributed with mean ? And standard deviation ?. Sn= X1+X2+...+Xn is the sample sum. We can show E (Sn)=n? And SD (Sn)=? n. CLT states: Sn-n?

/0,1: as n

Question 3

Point estimates summarize the sample by a single number that is an estimate of the population parameter. An interval estimate is a range of values within which the true parameter lies with higher probability. In any estimation problem, we need to obtain both a point estimate and an interval estimate. The point estimate is our best guess of the true value of the parameter, while the interval estimate gives a measure of accuracy of that point estimate by providing an interval that contains plausible values.

To construct a confidence interval for a single unknown population mean ?, where the population standard deviation is known, we need x-as an estimate for ? And we need the margin of error. The margin of error is called the error bound for a population mean (EBM). The sample mean x? is the point estimate of the unknown population mean ?. The confidence interval estimate will have the form:(point estimate - error bound, point estimate + error bound) or, in symbols,(x?

EBM, x?+EBM) the margin of error depends...

The confidence level is often considered the probability that the calculated confidence interval estimate will contain the true population parameter. However, it is more accurate to state that the confidence level is the percent of confidence intervals that contain the true population parameter when repeated samples are taken. Most often, it is the choice of the person constructing the confidence interval to choose a confidence level of 90% or higher because that person wants to be reasonably certain of his or her conclusions.
Suppose we have collected data from a sample. We know the sample mean but we do not know the mean for the entire population. The sample mean is 7 and the error bound for the mean is 2.5.x?= 7 and EBM=2.5. The confidence interval is (7-2.5,7+2.5); calculating the values gives

(4.5,9.5).If the confidence level (CL) is 95%, then we say that we estimate with 95% confidence that the true value of the population mean is between 4.5 and 9.5.

References

Frerichs, R. (2008). Rapid Surveys. Simple Random Sampling. Retrieved from http://www.ph.ucla.edu/epi/rapidsurveys/RScourse/RSbook_ch3.pdf

McClave, J. Benson, G. & Sinchich, T. (2011). Statistics for Business and Economics 11th edition. 2011 Pearson Education.

"Normal Distribution." Wolfram Math World. Viewed 8 May 2013. Retrieved from http://mathworld.wolfram.com/NormalDistribution.html

Sources used in this document:
References

Frerichs, R. (2008). Rapid Surveys. Simple Random Sampling. Retrieved from http://www.ph.ucla.edu/epi/rapidsurveys/RScourse/RSbook_ch3.pdf

McClave, J. Benson, G. & Sinchich, T. (2011). Statistics for Business and Economics 11th edition. 2011 Pearson Education.

"Normal Distribution." Wolfram Math World. Viewed 8 May 2013. Retrieved from http://mathworld.wolfram.com/NormalDistribution.html
Cite this Document:
Copy Bibliography Citation

Related Documents

Normal Distribution
Words: 658 Length: 2 Document Type: Essay

Probability and Normal Distribution In the study of statistics, probability is a key concept that illustrates and describes the randomness and likelihood of an event from happening given the number of ways it can happen and the number of outcomes that this event could probably happen. That is, probability in statistics helps determine how likely an event is going to happen, as the certainty of the event happening cannot be determined

Normal Distribution Is Used to Find the
Words: 804 Length: 2 Document Type: Term Paper

normal distribution is used to find the probability of the sample mean in this single sample z-test (we know the standard deviation of the population). Z-scores are measures of relative location. Suppose we are interested in whether enrichment sessions with parents and special tutors influence I.Q.s of children. We might start by learning what the baseline I.Q. scores are for children who participate in the I.Q. enrichment sessions. Standardized

Probability and Normal Distributions in
Words: 1121 Length: 4 Document Type: Term Paper

An example of a business situation where the probability distribution may be utilized is a scenario where a manager attempts to predict employee retention. The statistical test would be a binary logistic regression analysis. The probability distribution is paramount to this example because it utilizes the dichotomous dependent variable of Yes/No (employee stays/employee quits). Independent variables that may be used to predict employee retention include education level, length of employment,

Importance of the Normal Distribution Curve and Its Application in...
Words: 593 Length: 2 Document Type: Essay

Normal Distribution Curve and Its Application in Psychology When a curve (reflecting the statistical results of the sampled population) is not skewed in any particular direction but is rather symmetrical (rather than being 'asymmetrical'). We have what is known as a "bell curve' or a Gaussian or a normal distribution. Not all symmetrical curves are normal, but all normal curves are symmetrical. This specific type of curve is important in statistics

Distribution Channels I Email File. I Writer:
Words: 855 Length: 3 Document Type: Essay

Distribution Channels I email file. I writer: Betty comlete paper Distribution, location and timing A three tiered distribution structure will be adopted by EndovileTire Solutions. From the factory, the products will be supplied to the regional distribution centers which will then transfer the goods to carrying and forwarding agents who will act as godowns for distribution of the products to delers. Finally, the goods will get to divisional distribution centers which will then

Frequency Distributions and Sampling
Words: 820 Length: 3 Document Type: Data Analysis Chapter

Frequency Distributions & Sampling The lifestyle data collected and analyzed in this paper are the counts of e-mail messages received (R) and sent (S) on a per-day basis. This paper is a continuation of the study begun in a prior assignment, with the core changes being the inclusion of sample data collected over a period of an additional five days, and analysis of the standard deviation of the data relative to

Sign Up for Unlimited Study Help

Our semester plans gives you unlimited, unrestricted access to our entire library of resources —writing tools, guides, example essays, tutorials, class notes, and more.

Get Started Now