(Solution) MATH 399N Week 7 Assignment: Course Project Part II

Required Resources

Read/review the following resources for this activity:

  • Textbook: Chapter 9 (All Sections)
  • Lesson
  • Minimum of 1 scholarly source

Initial Post Instructions

After reviewing data from a sample, an inference can be made about the population. For example,

Find a data set on the internet. Some suggested search terms: Free Data Sets, Medical Data Sets, Education Data Sets.

  1. Introduce your Data Set and Cite the Source.
  2. What trends do you notice in your data set?
  3. Based on the trends and the history of your data set, make a claim. What kind of test (left, right, two tailed) would you have to complete?
  4. Explain the steps needed to complete the Hypothesis Test. What is needed?

Follow-Up Post Instructions

Respond to at least two peers or one peer and the instructor. Further the dialogue by providing more information and clarification.

  1. Based on the claim presented by your peer, state the null and alternative hypothesis and process you would take to determine if you would Reject or Fail to Reject Ho.
  2. Based on the data and history presented by your peer, state a new claim and explain why you think your claim is valid.

Solution:

Week 7 Assignment: Course Project Part II

Births, marriages, divorces, and deaths: Provisional data for September 2009

 
Summary Table for _Live Births___
Mean  7047
Median  4936
Standard Deviation  8358
Minimum  519
Maximum 46117

 

 
Summary Table for _Deaths____
Mean  35116
Median  24886.5
Standard Deviation  35581.64
Minimum  2718
Maximum 172700

 

 
Summary Table for _Marriages____
Mean 3970.35
Median  2687.5
Standard Deviation  3913.25
Minimum  152
Maximum 19775

 

 
Summary Table for _Divorces_____
Mean  1537.33
Median  1251
Standard Deviation  1427.5
Minimum  102
Maximum 7082

 

Hypothesis Testing

  1. Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance.

Sample size (n) = 52

Sample mean = 7047

Sample standard deviation (s) = 8358

The null and alternative hypotheses are,

H0:u=5000

Ha:u>5000

Test statistic is; Z= (x – μ0)/(σ/√n)

= 1.77

Critical value at 0.05 level of significance is, Z* = 1.645

Since, test statistic = 1.77 > 1.645

We reject the null hypothesis (H​​​​​​0​​​​​).

Thus we can conclude that there is sufficient evidence to conclude the average amount of births is over 5000 in the United States.

  1. Determine if there is sufficient evidence to conclude the average amount of deaths is equal to 6000 in the United States and territories at the 0.10 level of significance.

Sample size (n) = 52

Sample mean = 35116

Sample standard deviation (s) = 35581.64

The null and alternative hypotheses are….

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