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 spreadsheet 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
To complete this assignment, you must first download the spreadsheet
, and then complete it by including the following items:
1. Incorrect Answers
- Correct any wrong answers. You must also explain the error performed in the problem in your own words.
2. Partially Finished Work
- Complete any partially completed work. Make sure to provide step-by-step instructions including explanations.
3. Blank Problems
- 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.
Expert Solution Preview
Introduction:
In this scenario, a student named Frank who has had only a brief introduction to statistics needs guidance and instruction on a partially completed spreadsheet involving normal distribution, standard normal distribution, and the central limit theorem. As Frank’s tutor, it is important to provide step-by-step explanations and calculations to help him understand the material and prepare for future examinations.
1. Incorrect Answers:
To correct any wrong answers on the spreadsheet, it is necessary to analyze the calculations and understand the errors. For example, if a calculation involving the standard normal distribution resulted in an incorrect z-score, it is important to identify where the error occurred and explain the correct steps to achieve the right answer. Providing explanations for the errors will help Frank grasp the concepts better and avoid making similar mistakes in future exams.
2. Partially Finished Work:
If the spreadsheet has any partially completed work, it is necessary to complete them step-by-step while explaining the significance of each concept used. For example, if the problem involves finding the probability of a given z-score, the steps involved in determining the probability should be explained in detail. Clarifying the concepts used in each step will help Frank understand the logic behind the calculations.
3. Blank Problems:
If there are any questions left blank in the spreadsheet, it is important to provide instructions and explanations to complete them accurately. Again, it is essential to break down each step and provide explanations for each calculation performed. By doing so, Frank can learn the techniques to solve similar problems in the future.
In conclusion, as Frank’s tutor, providing step-by-step instructions, explanations, and calculations will help him understand the concepts of normal distribution, standard normal distribution, and the central limit theorem. This understanding will help him confidently tackle similar problems and prepare well for future examinations.
