(b) Using statistical software, develop a quadratic trend equation that can be used to forecast revenue (in millions of dollars). (Round your numerical values to three decimal places.) (c) Using the trend equation developed in part (b), forecast revenue (in millions of dollars) in year 11. (Round your answer to two decimal places.) $18.00 x million
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- A fungal meningitis outbreak has been traced back to a particular compound pharmacy selling a specific injectable drug that is suspected to have been contaminated. In the past 4 weeks 15,051 patients were given the medication, and of those patients 72 individuals contracted fungal meningitis. What is the cumulative incidence for meningitis among those individuals who the medication was administered to?The survival curve below was constructed from a study that followed 7 individuals being treated with prednisone for inflammatory conditions over a period of 8 months. Assuming the event described is the point in time the individuals developed prednisone-induced hypertension and those individuals who made it to 8 months concluded the study without prednisone-induced hypertension, calculate and interpret the proportion of individuals who suffered from prednisone-induced hypertension at the end of the study. A) 14.3% of individuals in the study did not develop prednisone-induced hypertension. B) 14.3% of individuals in the study did not develop prednisone-induced hypertension during the time frame in which the study was being conducted. C) 85.7% of individuals in the study did not develop prednisone-induced hypertension. D) 85.7% of individuals in the study did not develop prednisone-induced hypertension during the time frame in which the study was being conducted.Along with interest rates, life expectancy is a component in pricing financial annuities. Suppose that you know that last year average life expectancy was 77 years for your annuity holders. Now you want to know if your clients this year have a longer life expectancy, on average, so you randomly sample n=20 of your recently deceased annuity holders to see actual age at death. Using a 5% level of significance, test whether or not the new data shows evidence of your annuity holders now live longer than 77 years, on average. The data below are the sample data (in years of life): (78,75,83,81,81,77,78,79,79,81,76,79,77,76,79,81,73,74,78,79) Does this sample indicate that life expectancy has increased? Test an appropriate hypothesis and state your conclusion (use a 5% level of significance). Be sure to check the necessary assumptions and conditions before conducting your test. Construct A 90% confidence interval for the true average age of death for the…
- According to a newspaper study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for medical aid varies dramatically across a city. Under national standards adopted by the city's fire department, rescuers are supposed to arrive within six minutes to almost all medical emergencies. But the newspaper analysis found that in affluent hillside communities of the city, firefighters failed to hit that mark nearly 85% of the time. The following data show the response times, in minutes, for 10 emergency calls in the Griffith Park neighborhood. 11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2 Based on this sample of ten response times, compute the descriptive statistics (in minutes) in parts (a) and (b) and then answer the questions in parts (c) and (d). (a) mean, median, and mode (in min) mean minmedian minmode min (b) range and standard deviation (in min) (Round your answers to four decimal places.) range minstandard deviation min (c) Compute…At any age, about 20% of American adults participate in fitness activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
- A fungal meningitis outbreak has been traced back to a compound pharmacy selling a specific injectable drug that is suspected to have been contaminated. In the past 4 weeks 15,051 patients were given the medication, and of those patients 72 individuals contracted fungal meningitis. What is the cumulative incidence (CI) for meningitis among those individuals who the medication was administered to?A recent clinical trial compares the use of Drug A to the standard treatment of symptomatic genital herpes. The study involves 10, 000 people with genital herpes who are randomly assigned to receive Drug A or standard treatment. Results of the trial show that the duration of symptoms in patients who received Drug A is 4 days versus 4-5 days in patients who received standard symptomatic measures (p<0.5). The manufacturer of Drug A recommends the use of Drug A in the clinical treatment of genital herpes. Based on the study’s results, which of the following is the most appropriate reason to question the manufacturer’s recommendation? a) The investigators used an inappropriate study design b) It is likely that there was a Type I error c) It is likely that there was Type II error d) The observed difference is not clinically significant e) The observed difference is not statistically significant f) There was insufficient powerBiostatistics Outpatients (N = 36) with type 2 diabetes were referred back to the hospital because of the risk of developing chronic kidney disease (CKD) (possible kidney failure). During their follow-up, some patients were diagnosed with advanced (or end-stage) CKD, requiring an extension of their stay in the hospital, while others were readmitted for further medical assessment. Throughout the study, mortality and hospitalization rates, as well as bio-chemical lab test results, were reported. In addition, the attached data slice contains additional demographic data about the patient group. Q1: Write demographic and lifestyle summary with appropriate statistical tools of descriptive statistics that include Age(years), Gender, Level of deprivation [Townsend or socio-economical status SES], and Marital status.
- Biostatistics Outpatients (N = 36) with type 2 diabetes were referred back to the hospital because of the risk of developing chronic kidney disease (CKD) (possible kidney failure). During their follow-up, some patients were diagnosed with advanced (or end-stage) CKD, requiring an extension of their stay in the hospital, while others were readmitted for further medical assessment. Throughout the study, mortality and hospitalization rates, as well as bio-chemical lab test results, were reported. In addition, the attached data slice contains additional demographic data about the patient group. Q2: Write a statistical summary for patients’ health status that include Smoking status, Glucose level (mmol/L), C-reactive protein (CRP) (mg/L), Blood urea (mmol/L), Serum creatinine (μmol/L), and Albumin level (g/L).At the 5% level of significance, which variables are statistically significant? If the price of cement per yard increases by 10, what will happen to the estimated quantity of cement demanded? What happens if it will increase by 20%?Studies have shown that omega-3 fatty acids have a wide variety of health benefits. Omega-3 oils can be found in foods such as fish, walnuts, and flaxseed. A company selling milled flaxseed advertises that one tablespoon of the product contains, on average, at least 3800 mg of ALNA, the primary omega-3. a) The company plans to conduct a test to ensure that there is sufficient evidence that its claimiscorrect. Tobesafe,thecompanywantstomakesurethatevidenceshowsthe average is higher than 3800 mg. What are the null and alternative hypotheses? b) Suppose, instead, that a consumer organization plans to conduct a test to see if there is evidence against the claim that the product contains an average of 3800 mg per tablespoon. The consumer organization will only take action if it finds evidence that the claim made by the company is false and that the actual average amount of omega-3 is less than 3800 mg. What are the null and alternative hypotheses?