Activity Immediate Duration in weeks Predecessors A 3 ---- B 2 --- - C A 1 D A,B 3 E C 3 F C.D 2
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- A research focused on the number of illnesses involving the organism Escherichia coli (01257:H7), which causes a breakdown of red blood cells and intestinal hemorrhage in its victims. According to the Center for Disease Control of the Department of Health, an estimated 73,000 cases of E. coli infection and 61 deaths occur in Region Y. A 2028 outbreak traced to wild pigs, who spread the bacteria into a cabbage field in that , sickened 204 people in 26 municipalities. Outbreaks have occurred at a rate of 2.5 per 100,000. Let us suppose that this rate has not changed.a. What is the probability that at most five cases of E.coli per 100,000 are reported in California this year?b. What is the probability that more than five cases of E. coli are reported in California this year?c. Approximately 95% of occurrences of E. coli involve at most how many cases?Hormone Therapy and Dementia. An issue of Science News (Vol. 163, No. 22, pp. 341–342) reported that the Women’s Health Initiative cast doubts on the benefit of hormone-replacement therapy. Researchers randomly divided 4532 healthy women over the age of 65 years into two groups. One group, consisting of 2229 women, received hormone-replacement therapy; the other group, consisting of 2303 women, received placebo. Over 5 years, 40 of the women receiving the hormone-replacement therapy were diagnosed with dementia, compared with 21 of those getting placebo. a. At the 5% significance level, do the data provide sufficient evidence to conclude that healthy women over 65 years old who take hormone-replacement therapy are at greater risk for dementia than those who do not? b. Determine and interpret a 90% confidence interval for the difference in dementia risk rates for healthy women over 65 years old who take hormone-replacement therapy and those who do not.A magazine reported on the "... treatment-emergent adverse events that occurred in 2% or more patients treated with a new medicine and with incidence greater than placebo in the treatment of depression, OCD, or bulimia." In the study, patients took the new medicine and patients were given placebo. Identify the a. treatment group, b. control group, and c. treatments.
- Sickle-cell anemia is a hereditary chronic blood disease that is extremely severe when an individual carries two copies of the defective gene. It is particularly common in countries plagued by malaria, a parasiticinfection transmitted by mosquitoes. A study in Africa tested 543 children for the sickle-cell gene and also for malaria. In Group 1 which consisted of 136 children with the sickle-cell gene, 36 children had severe malariainfections. Group 2 consisted of 407 children without the sickle-cell gene, and 152 of them had severe malaria infections. Conduct a test to determine if the proportion of severe malaria infections among children withthe sickle-cell trait is different from that among children without. Test at 5% level of significance. Question: What is your p value and t statistic ?A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone decreases blood glucose levels. Use an alpha-level of 0.01 for this analysis.A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, unmanipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis. Calculate the obtained statistic:
- A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis. State the null hypothesis:A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,37,33,34,35,33,35,37,36,34,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation is 4.12. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an alpha-level of 0.01 for this analysis. Is it a one-tailed (directional) test or a two-tailed test (nondirectional)?Trichotillomania is an illness characterized by the repeated urge to tear out hair, eyelashes, facial hair, nose hair, pubic hair, eyebrows, or other body hair, sometimes resulting in noticeable bald patches. A pharmaceutical company is trying to decide whether to market a drug to treat trichotillomania. The pharmacist who designed the drug believes it is very effective, especially when combined with therapy, whereas a researcher who did research on a sample of people suffering from the disorder is less convinced. Each of them created graphs to support his or her position. Determine whether the pharmacist or the researcher created each graph. (Hint: Decide whether the graph minimizes or maximizes the effect of the drug first. Then decide who would want to do that, and choose your response from the list of possible combinations.)
- Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal). The results were as follows: Duration of Exposure <1 1 to <5 ≥5 Diseased 14 13 18 Sensitized 11 20 15 Normal 78 140 209 Test the hypothesis of independence. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. What do you conclude? State the null and alternate hypotheses.Colonoscopy is a medical procedure that is designed to find and remove precancerous lesions in the colon before they become cancerous. The article “Association of Colonoscopy and Death from Colorectal Cancer” (N. Baxter, M. Goldwasser, et al., Annals of Internal Medicine, 2009:1–8) reports that in a sample of 10,292 people diagnosed with colorectal cancer, 7.0% had previously had a colonoscopy, and in a sample of 51,460 people without colorectal cancer, 9.8% had previously had a colonoscopy. Can you conclude that the percentage of people who have had colonoscopies is greater in those without colorectal cancer?A study is being carried out in the operating room of the Regional Hospital of Veraguas to establish whether the type of surgery influences the appearance of nosocomial infections in obese patients who underwent a tubular gastrectomy. The 80 patients in the study are divided into two groups, one of whom had had an open surgery (44 patients) and the others a clean surgery. There were 37 patients with infection from open surgery and 14 with infection from clean surgery. If you did not have a nosocomial infection, what is the probability that you had clean surgery? What is the probability that a patient will have clean surgery? What is the probability that a patient will have open surgery? What is the probability of clean surgery or nosocomial infection? What is the probability of no nosocomial infection or clean surgery? If you had clean surgery, what is the probability of a nosocomial infection? If you had clean surgery, what is the probability of no nosocomial infection? If you had…