MAT255 Linear Algebra

MAT255 Linear Algebra

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MAT255 Linear Algebra

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MAT255 Linear Algebra

0 Download3 Pages / 525 Words

Course Code: MAT255
University: Arapahoe Community College

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Country: United States

Question:

Identify a topic that you have professional interest in, with quantitative data readily available. (For example, batting averages in baseball, etc.) Explain why you feel this project topic is a good fit to run data analysis.
Explain where you have collected your data from. Provide sources as needed.
Using Excel, label the first sheet (labeled ‘raw data’) and complete the following:

List your data set containing at least50 values.
Use Excel to compute the mean[3points]and standard deviation. –You must discern if this data is an entire population or a sample and use the appropriate formulas.

On a second Excel sheet (labeled ‘organized data’), complete the following:

Construct a grouped frequency distribution into an appropriate number of class intervals.
Use Excel to organize this into a histogram –Be sure to use appropriate labels, titles, etc. where  needed.
Use Excel to organize this into a circle graph –Be sure to use appropriate labels, titles, etc. where needed.
Random Samples and Confidence (Big picture: How does the sample size impact the data chosen?)

On a fifth Excel sheet (labeled ‘HT n = 5’), complete the following:[5pointstotal for the section] Replace the ‘RNG’ columns with the population mean value using the paste value function from your raw data sheet. State your null and alternative hypotheses.

Select an appropriate significance level at which to perform the test.
State your decision of the hypothesis test.
Briefly give the background information as to why you chose that hypothesis test.
Briefly interpret the results of your hypothesis tests.
Part IV: Detailed Analysis

This portion of the project is a formal written interpretation of your data. It should be approximately 350-500 words.Your analysis should contain scholarly, matter of fact  no opinions!) information based on the results of the project components 1-8. Each objective may be analyzed as a whole and you may consider extrapolating on the “brief” interpretations which were stated throughout the assignment.Hints for success in Part IV:

Proof read your written analysis.
Have an introduction and conclusion to provide context to the  reader.

Answer:

Introduction
The analysis has been done on request of the owner of a nail saloon to evaluate the rush of the saloon and this analysis will in turn help the owner out the way in which services can be provided further to meet the demand of the customers. To do the analysis, data has been collected on the total number of customers coming to the store each day for 52 days from 2nd January 2018 to 22nd February 2018.
Discussion
Sample of 30 Days
For the purpose of the study, 30 days out of the 52 days have been selected randomly from the total data. It can be seen from the selected sample that, the average number of customers that visit each day to the store is 62. The analysis also shows that the number of customers visiting the store each day is quite close to the average number of clients.
Confidence Interval
It can also be said with 95 percent confidence that the average number of customers coming for the services each day varies between 57 and 63.
Sample of 5 Days
Again, a random sample of 5 days have been collected from the total data and it can be seen from the selected sample that, the average number of customers that visit each day to the store is 50. The analysis also shows that the number of customers visiting the store each day is quite close to the average number of clients.
Confidence Interval
It can also be said with 95 percent confidence that the average number of customers coming for the services each day varies between 31 and 69.
Comparing the two different samples, it can be said that the sampling of 5 days shows that the number of customers visiting the store each day has a larger range than that obtained from the sample of 30 days and the limit is representing the population much more accurately when 30 sample days have been considered.
Hypothesis Tests
The average number of customers that visited the store in in the month of January has been found to be 48. It is to be tested whether the average number of customers visiting the store is equal to the average number of customers visiting the store in January. Thus, the null and the alternate hypothesis can be stated as follows:
From the analysis conducted on 30 collected samples, it can be seen that there is not enough evidence to accept the null hypothesis. Thus, it can be concluded that there is significant difference in the average number of clients coming to the store from that of January.  
From the analysis conducted on 5 collected samples, it can be seen that there is not enough evidence to reject the null hypothesis. Thus, it can be concluded that there is no significant difference in the average number of clients coming to the store from that of January. Hence, there is a contradiction in the two types of results obtained.
Conclusion
From the analysis, it can be seen that the sample of 30 days gives a result which is quite compact and more accurate than the sample of 5 days. This indicates that a larger sample size represents the population much more accurately than a smaller sample size.

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