Standard Desviation

Standard Deviation, Hypotheses, and Standard Error

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Due Date: Oct 20, 2015 23:59:59       Max Points: 145

Details:

Doctoral researchers must be able to manage statistical data in order to draw conclusions about the data from a research study. This assignment will allow you to practice your skills in working with standard deviation, hypotheses, and standard error.

General Requirements:

Use the following information to ensure successful completion of the assignment:

· Read each segment of this assignment carefully. There is information in the segment that will guide your completion.

· Instructors will be using a grading rubric to grade the assignments. It is recommended that learners review the rubric prior to beginning the assignment in order to become familiar with the assignment criteria and expectations for successful completion of the assignment.

· Doctoral learners are required to use APA style for their writing assignments. The APA Style Guide is located in the Student Success Center.

· This assignment requires that at least two additional scholarly research sources related to this topic, and at least one in-text citation from each source be included.

Directions:

In an essay of 250-500 words, thoroughly address the following items and respond to the related questions:

1. Define the term standard deviation. Why is it important to know the standard deviation for a given sample? What do researchers learn about a normal distribution from knowledge of the standard deviation? A sample of n=20 has a mean of M = 40. If the standard deviation is s=5, would a score of X= 55 be considered an extreme value? Why or why not?

2. Hypothesis testing allows researchers to use sample data, taken from a larger population, to draw inferences (i.e., conclusions) about the population from which the sample came. Hypothesis testing is one of the most commonly used inferential procedures. Define and thoroughly explain the terms null hypothesis and alternative hypothesis. How are they used in hypothesis testing?

3. Define the term standard error. Why is the standard error important in research using sample distributions? Consider the following scenario: A random sample obtained from a population has a mean of µ=100 and a standard deviation of σ = 20. The error between the sample mean and the population mean for a sample of n = 16 is 5 points and the error between a sample men and population mean for a sample of n = 100 is 2 points. Explain the difference in the standard error for the two samples.

Rubric-

The term standard deviation is defined correctly in a thorough manner. All of the follow-up questions are correctly answered in a thorough manner.

The terms null hypothesis and alternative hypothesis are defined correctly and thoroughly. The application of these terms to hypothesis testing is thorough and indicative of deep understanding of the concepts.

The term standard error is defined correctly in a thorough manner. All of the follow-up questions are correctly answered in a thorough manner.

Synthesis of source information is present and scholarly. Argument is clear and convincing presenting a persuasive claim in a distinctive and compelling manner. All sources are authoritative. The synthesis and argument in the paper are of publication caliber.

Thesis and/or main claim are clear and comprehensive; the essence of the paper is contained within the thesis. The development indicated by the thesis and/or main claim is acceptable for publication.

Writer is clearly in command of standard, written, academic English.

The document is correctly formatted to publication standards. All research presented is scholarly, topic-related, and obtained from highly respected, professional, original sources. In-text citations and a reference page are complete and correct. The documentation of cited sources is free of error. The paper could readily be accepted for publication.

No Plagiarism