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## normally distributed population case study assignment

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Instructions:normally distributed population case study assignment

MAT 181 Chapter 8 Continues Practice Problems-2-Ans

Name___________________________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.1) A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager’s claim. 1) _____________

2) A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. 2) _____________

3) According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent, test the claim that the actual percentage is 53%. Use a 0.10 significance level. 3) _____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the P-value for the indicated hypothesis test.

4) A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school’s students, 32% of them plan to go into general practice. Find the P-value for a test of the school’s claim. 4) ______

- A) 0.1539 B) 0.3461 C) 0.1635 D) 0.3078
5) In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. 5) ______

- A) -0.2843 B) 0.2843 C) 0.2157 D) 0.5686
6) A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer’s claim. 6) ______

- A) 0.3264 B) 0.1591 C) 0.3409 D) 0.1736

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.

7) Test the claim that for the population of female college students, the mean weight is given by Sample data are summarized as and Use a significance level of 7) _____________

8) Test the claim that for the adult population of one town, the mean annual salary is given by Sample data are summarized as and Use a significance level of 8) _____________

Assume that a simple random sample has been selected from a normally distributed population.

Find the test statistic, P-value, critical value(s), and state the final conclusion.

9) Test the claim that for the population of female college students, the mean weight is given by μ = 132 lb. Sample data are summarized as n = 20, = 137 lb, and s = 14.2 lb.

Use a significance level of α = 0.1. 9) _____________

RUBRIC

Excellent Quality95-100%

Introduction45-41 points

The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

Literature Support91-84 points

The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

Methodology58-53 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 Score50-85%

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 Quality0-45%

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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