Statistics
1. A research center estimates that no more than 40% of US adults eat breakfast every day. In a random sample of 250 adults, 41.6% say they eat breakfast every day. (20 pts)
a. Conduct a hypothesis test at alpha = .01, to determine if there is enough evidence to accept the researches claim.
b. Determine the upper and lower bound confidence intervals of the sample at 99% confidence level
2. The attached excel spreadsheet (Problem 2 tab) contains data of the amount of medical supplies that customers spend in a given month at a medical supply store. Assume this data represents a sample. Recent history has shown that a customer spends on average more than $95 at this store in a given month.
a. Conduct a one sided hypothesis test at a level of significance of .10 to determine if the sample meets this criteria. (35 Pts)
b. What is the 90% confidence Interval for sample data
c. Is there a significance difference if a T or Z distribution is used for the evaluation? Explain?
3. Studies from the FDA shows that a particular strain of bacteria infection will no longer be contagious if exposure is ordained beyond 36 hours as the bacteria dies within less than 36 hours. A study was conducted on 121 samples of the bacteria infection. The samples revealed that the bacteria died on average of 36.8 hours with a standard deviation of 7.25 hours (25 pts)
a. Test if the 121 sample meets the 36 hour requirement at the = .05 level of significance
b. What is the 95% confidence interval values for this study sample
4. General Hospital has been selected to test the effectiveness of a drug to treat bi-polar disorder. Recent studies have shown that the drug is effective to 83% of patients who were administered the drug. You are the director of research at the hospital and you have been asked by the CDC to conduct a test of your patients by administering the drug, to selected patients, and determining effectiveness based on a plan provided by the CDC (20 pts)
a. Will the study that you conduct be an observation or an experiment, Explain?
b. Do you need to use a placebo effect for this study
c. Assume you select 137 patients for the study who were administered the drug to treat bi-polar disorder. The drug was effective on 106 out of the 137 patients. To conclude the study, you are to conduct a hypothesis test at a level of significance of .05. Does the study meet the criteria of recent studies (83%)?
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