# statistics

statistics

1.Â Â  Â Suppose a certain fast food chain claims that customers only wait an average of 2.4 minutes on drive through orders.Â  Believing that the food chain has made a false claim, a certain analyst takes a random sample of 45 drive-thru orders and determines that the 45 customers wait an average of 2.7 minutes with a standard deviation of 0.6 minutes.Â  Is there sufficient evidence to conclude that the true average waiting time for drive-thru orders at this particular fast food chain is actually more than the claimed 2.4 minutes?Â  Be sure to identify all parts of the test, and write your conclusion in the context of this scenario.

H0:

Ha:

Decision Rule:

Test Statistic:

P-value:

Conclusion:

2.Â Â  Â Suppose a large labor union wants to estimate the mean number of hours each month that its members are absent from work.Â  The union randomly samples 320 of its members and records the mean number of hours each of them is absent from work in a one-month period.Â  If the average is found to be 8.2 hours with a standard deviation of 5.5 hours, estimate the true mean number of hours all union members are absent from work per month with 90% confidence.

3.Â Â  Â In a 2006 poll of a random sample of 2546 American 18 â€“ 24 year olds taken by Harvardâ€™s Institute of Politics, 16% reported that they regularly watch The Daily Show with John Stewart.Â  Estimate the true proportion of college age students who regularly watch this show with 90% confidence.

4.Â Â  Â The US Commission on Crime wants to estimate the proportion of crimes related to firearms in an area that has one of the highest crime rates in the country.Â  The commission randomly selects 500 files of recently committed crimes in the area and finds that 320 involved the use of a firearm.

a.Â Â  Â Estimate the percentage of all crimes in this area in which a firearm was used with 95% confidence.

b.Â Â  Â Would the confidence interval become wider or narrower if we lowered the level of confidence?

c.Â Â  Â Explain what 95% confidence means in the context of this problem.

5.Â Â  Â A method currently used by doctors to screen for a particular type of cancer fails to detect cancer in 10% of the patients who actually have the disease.Â  A new screening method has been developed, and doctors hope that the failure rate of this test will be smaller.Â  A random sample of 75 people who are known to have this type of cancer is screened using the new technique, and the new method fails to detect the cancer in 6 of the patients.Â  At the 0.05 level, test the appropriate hypothesis to determine if the new method has lowered the failure rate.

6.Â Â  Â Suppose a management professor wants to estimate with 99% confidence the proportion of CEOâ€™s of medium and large companies with no university degrees.

a.Â Â  Â How large should the professorâ€™s sample be to ensure an estimate that is within 0.05 of the true proportion?

b.Â Â  Â How large should the professorâ€™s sample be to ensure an estimate that is within 0.02 of the true proportion?

c.Â Â  Â If a previous study indicates that about 10% of CEOâ€™s of medium and large companies have no university degrees, how many CEOâ€™s should be sampled by the professor to maintain a margin of error that is no more than 0.02?

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Statistics
Paper instructions:
We are bombarded by statistical information from a wide variety of sources. Much of the statistical research performed in the world is conducted with a great deal of integrity, validity, and reliability. However, there are many statistical studies that are conducted that areâ€”whether intentionally or unintentionallyâ€”plagued by bias.

As a member of society, and as a consumer, it is prudent to develop the skills necessary to critically examine reported statistical claims. Determining whether the report contains bias is a great way to determine the reliability of study results and make a better informed decision.

In this assignment, you will apply the guidelines found in the textbook Unit 5B â€œShould You Believe a Statistical Study?â€ in order to critically analyze the content, design, and reported results of a statistical study.

Conduct an Internet search to find a study whose statistical results have been published in the news or any other public forum. Applying the following guidelines, critically analyze the studyâ€™s reported content and results.

Identify the goal, population, and type of study.
Who conducted the study? Is there bias here?
Is there bias in the sample used in the study?
Are there any problems in defining or measuring the variables of interest in the study?
Are there any confounding variables present in the study?
Are the results presented fairly?
Is the studyâ€™s conclusion reasonable? Does it make sense?
Do the results make practical significance?

there needs to be full references with links to where information was obtained from.
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