# The Probability

I’m studying and need help with a Statistics question to help me learn.

## Lesson 4

### Probability

Human Resource Consulting (HRC) surveyed a random sample of 60 Twin Cities construction companies to find information on the costs of their health care plans. One of the items being tracked is the annual deductible that employees must pay. The Minnesota Department of Labor reports that historically the mean deductible amount per employee is \$502 with a standard deviation of \$100.

1. Compute the standard error of the sample mean for HRC.
2. What is the chance HRC finds a sample mean between \$477 and \$527?
3. Calculate the likelihood that the sample mean is between \$492 and \$512.
4. What is the probability the sample mean is greater than \$550?

### Submission status

Attempt number This is attempt 1.
Submission status No attempt

MAT 211 Lessons Rubrics

Mathematical Concepts.
 Explanation shows complete understanding of the mathematical concepts used to solve the problem(s). 13points Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s). 10points Explanation shows some understanding of the mathematical concepts needed to solve the problem(s). 8points Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s) OR is not written. 5points Not Present 0points
Mathematical Reasoning
 Uses complex and refined mathematical reasoning. 13points Uses effective mathematical reasoning 10points Some evidence of mathematical reasoning. 8points Little evidence of mathematical reasoning. 5points Not Present 0points
Mathematical Errors
 90-100% of the steps and solutions have no mathematical errors. 13points Almost all (85-89%) of the steps and solutions have no mathematical errors. 10points Most (75-84%) of the steps and solutions have no mathematical errors. 8points More than 75% of the steps and solutions have mathematical errors. 5points Not Present 0points
Introduction/Thesis
 The introduction is inviting. It grabs the reader’s attention and compels him/her to read further. Engaging lead/hook. 13points The introduction clearly states the main topic and previews the structure of the paper, but is not particularly inviting to the reader. 10points The introduction states the main topic, but does not adequately preview the structure of the paper nor is it particularly inviting to the reader. 8points There is no clear introduction of the main topic or structure of the paper. 5points Not Present 0points
Content/Body Paragaphs/Evidence
 There is one clear, well-focused conflict/problem to be resolved. Author uses dialogue, action, and description to show not tell the story. 12points Main idea is clear but the supporting information is general. More detail needed to “show not tell” the story. 10points Main idea is somewhat clear but there is a need for more supporting information. Author mostly tells the story instead of showing it. 8points The main idea is not clear. There is a seemingly random collection of information. 5points Not Present 0points
Grammar/Punctuation/APA Style
 Writer makes no errors in grammar or punctuation, so the paper is exceptionally easy to read. Follows APA style. 12points Writer makes 1 or 2 errors in grammar or punctuation, but the paper is still easy to read. Missing one or two elements of APA style 10points Writer makes a few errors in grammar and/or punctuation that catch the reader’s attention and interrupt the flow. Missing most APA formatting. 8points Writer makes several errors in grammar and/or punctuation that catch the reader’s attention and greatly interrupt the flow. No APA style. 5points Not Present 0points
Vocabulary/Spelling
 Writer uses vivid words and phrases that linger or draw pictures in the reader’s mind, and the choice and placement of the words seems accurate, natural and not forced. 12points Writer uses vivid words and phrases that linger or draw pictures in the reader’s mind, but occasionally the words are used inaccurately or seem overdone. 10points Writer uses words that communicate clearly, but the writing lacks variety, punch or flair. 8points Writer uses a limited vocabulary that does not communicate strongly or capture the reader’s interest. Jargon or clichés may be present and detract from the meaning. 5points Not Present 0points
Conclusion
 The conclusion is strong and leaves the reader with a feeling that they understand what the writer is “getting at.” 12points The conclusion is recognizable and ties up almost all the loose ends. The “so what” a bit cliché. 10points The conclusion is recognizable, but does not tie up several loose ends. 8points There is no clear conclusion, the paper just ends. 5points Not Present 0points