Studies of a specific enzyme activity showed that the time the enzyme activity before complete inactivity is exponentially distributed with a mean of 12 hours. Determine the failure rate
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?An investigator wants to estimate the impact of smoking on the incidence of prostate cancer. The incidence of prostate cancer by the age of 70 is about 1 in 6 (17%) P2=0.17. U.S. study reporters that heavy smokers had twice the risk of developing prostate cancer as compared to nonsmokers (34%) P1=0.34. A repeat study in England, cohort enrolls men at age 50 and followed them for 30 years. Problem: Generste a 95% confidence level, assume a 20% attrition, and a margin of error of no more than 0.05 (5%) E=0.05A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 234 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 232,238, 238, 239, 236, 243, 243, 244, and 240. At a = 0.05, the manufacturer wants to test if the shelf life of the cake mix increased. What critical value must be used for this test?
- An investigator modeled the log-odds of getting stomach cancer as a function of number of servings of vegetables per week and the number of servings of red mean per week using logistic regression. The odds that a person gets stomach cancer if they have 4 servings of red meat a week are 1.2 times the odds of cancer for someone who has 3 servings of red meat a week. What is the odds ratio for stomach cancer for someone who has 5 servings as opposed to someone who has 3 servings? Enter your answer to 3 digits beyond the decimal point.Algal blooms can have negative effects on an ecosystem by dominating its phytoplankton communities. Gonyostomum semen is a nuisance alga infesting many parts of northern Europe. Could the overall biomass of G. semen be controlled by grazing zooplankton species? A research team examined the relationship between the net growth rate of G. semen and the number of Daphnia magna grazers introduced in test tubes. Net growth rate was computed by comparing the initial and final abundance of G. semen in the experiment, with a negative value indicative of a decrease in abundance. The table contains the findings. Number of D. magnagrazers 1 2 3 4 5 6 Net growth rate of G. semen -1.9 -2.5 -2.2 -3.9 -4.1 -4.3 Find the correlation, ?. Use decimal notation. (Enter your answer rounded to three decimal places.)Algal blooms can have negative effects on an ecosystem by dominating its phytoplankton communities. Gonyostomum semen is a nuisance alga infesting many parts of northern Europe. Could the overall biomass of G. semen be controlled by grazing zooplankton species? A research team examined the relationship between the net growth rate of G. semen and the number of Daphnia magna grazers introduced in test tubes. Net growth rate was computed by comparing the initial and final abundance of G. semen in the experiment, with a negative value indicative of a decrease in abundance. The study also examined the grazing effect of another species, Daphnia pulex, on the abundance of the nuisance alga G. semen in the lab. The table displays the findings Number of D. pulex grazers 0 1 2 3 4 5 6 Net growth rate of G. semen -0.7 -0.4 -0.6 -0.3 -0.5 -1.0 -0.2 Find the correlation, ?. Enter your answer rounded to three decimal places.
- Strands of human hair absorb elements from the bloodstream and provide a historical record of both health and the use or nonuse of chemical substances. Hair grows at the rate of about one – half inch per month, and a person with long hair might be accused or absolved on the basis of a segment of hair that sprouted many months or years ago. By separately analyzing sections of the hair strand, scientists can even approximate the periods of time during which drug use was heavy, moderate, light or altogether absent. If a transit employee provides a strand of hair for drug testing, state the null and alternative hypothesis in verbal terms, then identify what would constitute a Type I error and Type II error in this situation.A bank wishing to increase its customer base advertises that it has the fastest service and that virtually all of its customers are served in less than 10 minutes. A management scientist has studied the service times and concluded that service times are exponentially distributed with a mean of 4 minutes. Determine what the bank means when it claims 'virtually all' its customers are served in under 10 minutes. Proportion of customers served in under 10 minutes =A team of UMD students have invented an inhalable drug that they think will help people breathe better during hard exercise. They test the drug on 3 volunteers (A, B, and C) by measuring their levels of arterial oxygen before receiving the drug (their base level) and then after 5 and 10 minutes have elapsed, respectively. The results are listed in the table. Oxygen level [mmHg] A B C base level 847076 after 5 minutes 85 74 81 after 10 minutes 90 75 98 We want to see how the drug work (better or worse) when compared to the base level. Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 5 minutes. X1b Xub X 1b -5.1783 Xub 11.8450 Compute the 90% two-sided confidence intervals for the mean difference between the base level and after 10 minutes. -1.94 ? Xx 0% 23.94 ? × 0% ? × 0% X 0%
- Structures in a county need to be designed for earthquake loading. After a detailed seismic risk analysis of the county, it is observed that the peak ground acceleration A observed in an earthquake event can be modeled by an exponential distribution with a mean of 0.2g. If A exceeds 0.4g, structures in the county will suffer significant damage. Assume that earthquakes occur on the average once every 2 years in the county, and the damage from different earthquakes is statistically independent. (a) What is the probability that there will be exactly two earthquakes in the next 50 years? (b) What is the probability of significant structural damage in an earthquake? (c) What is the probability of no significant structural damage due to earthquakes in a year? (d) What is the probability of no significant structural damage due to earthquakes in the next 50 years?Please help me with this. Thanks!Ankylosing spondylitis is an inflammatory disease which affects the spine and sacroiliac joint and can lead to the fusing of vertebrae in the spine. Exercise is important in helping manage pain, therefore a pharmaceutical company wanted to test if their new biologic would increase the time a patient could exercise before experiencing discomfort. The following table gives the time (in minutes) seven patients were able to exercise before reporting pain, both at baseline and then again after six months of taking the biologic.Exercise Time (in minutes)Subject 1 Baseline 30 Post-treatment 40Subject 245 40Subject 350 60Subject 435 37Subject 555 60Subject 620 25Subject 775 75Assume the population(s) of all exercise times is (are) normally distributed. Use JMP to test whether the evidence suggests that the time a person with ankylosing spondylitis can exercise before experiencing discomfort increases after taking this new biologic. Validate the test statistic from JMP by computing it manually.…
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