# tutoring on the normal distribution 8

## Competency

Demonstrate the use of the normal distribution, the standard normal distribution, and the central limit theorem for calculating areas under the normal curve and exploring these concepts in real life applications.

## Scenario

Frank has only had a brief introduction to statistics when he was in high school 12 years ago, and that did not cover inferential statistics. He is not confident in his ability to answer some of the problems posed in the course.

As Frank’s tutor, you need to provide Frank with guidance and instruction on a worksheet he has partially filled out. Your job is to help him understand and comprehend the material. You should not simply be providing him with an answer as this will not help when it comes time to take the test. Instead, you will be providing a step-by-step breakdown of the problems including an explanation on why you did each step and using proper terminology.

## What to Submit

, and then complete it by including the following items on the worksheet:

• Correct any wrong answers. You must also explain the error performed in the problem in your own words.
• Partially Finished Work
• Complete any partially completed work. Make sure to provide step-by-step instructions including explanations.
• Blank Questions
• Show how to complete any blank questions by providing step-by-step instructions including explanations.

Your step-by-step breakdown of the problems, including explanations and calculations performed should be present within the Excel workbook provided.

 F F C B A 0 1 2 3 4 Not Submitted No Pass Competence Proficiency Mastery Not Submitted Did not correctly solve a majority of the problems or at least one problem left blank. Correctly solved a majority of the problems. Correctly solved almost all the problems. All problems are solved correctly. Not Submitted Very few steps are provided to explain how to solve the problem OR the steps provided have several errors. Fairly complete and detailed steps are provided to explain how to solve the problem OR the steps provided have some errors. Mostly complete and detailed steps are provided to explain how to solve the problem. Complete and detailed steps are provided to explain how to solve the problem. Not Submitted Explanations generally lack a basic understanding of the statistical concepts or lack of proper terminology. Explanations demonstrate a basic understanding of most of the statistical concepts and terminology, but some explanations may be incomplete or incorrect. Explanations demonstrate a proficient understanding of most of the statistical concepts and terminology, but with small errors. Explanations demonstrate a mastery of understanding of the statistical concepts and terminology. Not Submitted The majority of variables, equations, and expressions are not properly formatted. The majority of variables, equations, and expressions are properly formatted. Almost all variables, equations, and expressions are properly formatted. All variables, equations, and expressions are properly formatted.

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