Quantitative Methods and Analysis Homework

Title of the Document

Student’s Name

American Intercontinental University

Running head: STUDENT’S TOPIC

STUDENT’S RESEARCH TOPIC 4

Abstract:

[(Don’t Indent) In 150 words or less, summarize your Breadth paper. What is the paper about and explain your conclusion.]

Introduction

[Explanation : In this section, describe what will be discussed in this report. Briefly describe all main components. Main requirements can be found in assignment description or in this template as separate sections under specific titles. Please DELETE explanations and replace with project-specific text.]

Scenario Analysis

[Explanation : Please read a scenario in the assignment description section and answer the following questions in a substantive manner. Please justify your recommendations. It is important that you elaborate your answer rather than providing one or two words answers. Please DELETE explanations and replace with project-specific text.]

Calculate the Mean and the Standard Deviation of this sample

[In this section, you will take the weights of the 30 Ball Bearing boxes in the plant and calculate the mean and standard deviation of them. Information on how to calculate the mean and the standard deviation is located in chapter 2 of the textbook.]

Using the normal distribution curve, calculate the probability the truck’s total weight is under 11,500 lbs. What is your decision? Will you allow the truck to continue or will you call the driver and tell him/her to turn back? Show all of your calculations

[To determine this probability, you will take the mean and standard deviation from the previous section and calculate the Z-score. This Z-score will be used in the normal distribution table in the appendix section of the book. Information on how to calculate the Z-score and determining probability from the normal distribution table is located in chapter six of the textbook. In order to calculate the Z-score, you will need to calculate X. X is the maximum average weight of the boxes that will allow the truck to cross the bridge safely. Subtract the total weight of the empty truck (with driver) from the bridge limit to get the maximum weight of the 74 boxes of ball bearings. Using this, you can calculate the value of X (the average weight of a single box.]

Discuss several types of sampling: i.e. convenience sampling, random sampling, stratified sampling, systematic sampling or cluster sampling. Discuss which type of sampling is used in this scenario.

[These sampling types are discussed in chapter 1 of the textbook. Based on their characteristics, which sampling type appears to have been used in the case study?]

Sampling Bias

[In statistics, a sampling bias is created when a sample is collected from a population and some members of the population are not as likely to be chosen as others. Sampling Bias is discussed in chapter 1 of the textbook. Do you feel that 30 boxes sampled in this case study created a sampling bias? Why or Why not?]

What does the central limit theorem state and why is it important to solving this problem. Are the thirty boxes of ball bearings enough to predict the probability of safely going over the bridge?

[The central limit theorem is discussed in chapter 7 of the textbook. Hint: Without it, we would not be able to solve this problem.]

Conclusion

[Explanation : In this section, describe what has been discussed in this analysis.]

References

Double space, do not indent, but do alphabetize. Use APA style. If the citation carries over to the next line, the lines will automatically be in hanging indent when you use the following template (overwrite the first two and when you hit <enter> twice after that, the references will fall in hanging indent naturally).

Applebaum, B. C., Zuckerman, M. Y., & Wu, X. (2014). Title of article in sentence case: Subtitle in sentence case. Journal in Title Case, X, 45-56.

O’Hara, C. (1986). Name of book in sentence case: Subtitle in sentence case. City, ST: Name of Publisher.