Suppose That K Is Chosen So That the Three Numbers 6k+1, 12k+1, and 18k+1 Are All Prime Numbers

Suppose That K Is Chosen So That the Three Numbers 6k+1, 12k+1, and 18k+1 Are All Prime Numbers

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Suppose That K Is Chosen So That the Three Numbers 6k+1, 12k+1, and 18k+1 Are All Prime Numbers …

Suppose that k is chosen so that the three numbers 6k+1, 12k+1, and 18k+1 are all prime numbers.
a) Prove that their product n= (6k+1)(12k+1)(18k+1) is a Carmichael number.
b) Find the five first values of k for which this method works and give the Carmichael number produced by the method

The Course Manager Wants To Use A New Tutorial To Teach The Students About Business Ethics

The   Course Manager wants to use a new tutorial to teach the students about business ethics.  As an experiment, she randomly selected 15 students and randomly assigned them to one of three groups which include either a   PowerPoint presentation created by the faculty, an Author Gen Presentation created by the faculty, or a well-known tutorial by the ABC company.

After completing their assigned tutorial, the students are given a Business   Ethics test.  At the .01 significance level, can she conclude that there is a difference between how well the different tutorials work for the students?

The Following Data Show The Actual Number Of Miles Driven For 50 Vehicles At The Time Of Transmission Failure …

The following data show the actual number of miles driven for 50 vehicles at the time of transmission failure.

1.) Use appropriate descriptive statistics to summarize the transmission failure data.

2) Develop a 95% confidence interval for the mean number of miles driven until transmission failure for the population of automobiles with transmission failure. Provide a managerial interpretation of the interval estimate.

3) Discuss the implication of your statistical finding in terms of the belief that some owners of automobiles experienced early transmission failures.

4) How many repair records should be sampled if the research firm wants the population men’s number of miles driven until, the transmission failure to be estimated with a margin of error of   5,000 miles? Use 95% confidence.

5) What other information would you like to gather to evaluate the transmission failure problem more fully?

Miles   driven (x)   85092   39323   64342   74276   74425   37831   77539   32609   89641   61978   66998   67202   89341   88798   59465   94219   67998   40001   118444   73341   77437   116803   59817   72069   53500   85288   32534   92857   101769   25066   79294   138114   64090   63436   95774   77098   64544   53402   32464   65605   121352   69922   86813   85586   59902   85861   69568   35662   116269   82256

The Marketing Manager Of A Branch Office Of A Local Telephone Operating Company Wants To Study Characteristics Of Residential Customers …

The marketing manager of a branch office of a local telephone operating company wants to study characteristics of residential customers served by her office. In particular, she wants to estimate the mean monthly cost of calls within the local calling region. In order to determine the sample size necessary, she needs an estimate of the standard deviation. On the basis of her past experience, she estimates that the standard deviation is equal to $12. Suppose that a small scale study of 15 residential customers indicates a sample standard deviation of $9.25. At the 0.10 level of significance, is there evidence that the population standard deviation is less than $12?

Suppose That K Is Chosen So That the Three Numbers 6k+1, 12k+1, and 18k+1 Are All Prime Numbers

RUBRIC
Excellent Quality 95-100%	Introduction 45-41 points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.		Literature Support 91-84  points The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.			Methodology 58-53 points Content is well-organized with headings for each slide and bulleted lists to group related material as needed. Use of font, color, graphics, effects, etc. to enhance readability and presentation content is excellent. Length requirements of 10 slides/pages or less is met.
Average Score 50-85%	40-38 points More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.		83-76  points Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.			52-49  points Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.
Poor Quality 0-45%	37-1 points The background and/or significance are missing. No search history information is provided.		75-1 points Review of relevant theoretical literature is evident, but there is no integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are not included in the summary of information presented. Conclusion does not contain a biblical integration.			48-1 points There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met
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