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- Reliability testing of the new 2.0 liter Chevy automotive engine has resulted in a time to failure distribution which is lognormal with = 90,000 mi. and s = 0.60. Find: med %3D a. R(40,000 mi.) b. MTTF and Std. Dev. c. R(90,000|40,000) d. t .905. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?Laetisaric acid is a compound that holds promise for control of fungus diseases in crop plants. The accompanying data show the results of growing the fungus Pythium (y) in various concentrations of laetisaric acid (x). Laetisaric acid concentration (uG/mL) Fungus growth (mm) 0. 33.3 31.0 29.8 27.8 6. 28.0 6. 29.0 10 25.5 10 23.8 20 18.3 20 15.5 30 11.7 30 10.0 Mean 11.500 23.642 Standard deviation 10.884 7.8471 T =-0.98754 %3D a. State the linear regression equation, and with a 0.01 level of significance, predict the amount (in mm) of fungus growth when 25 uG/mL laetisaric acid is applied. Assume the pairs of data follow a bivariate normal distribution and that the scatterplot shows no evidence of a non-linear relationship in the data. b. Determine the percentage of the variation in fungus growth that is explained by the linear relationship between laetisaric acid concentration and fungus growth. Attack Eil
- What scale should we use for the regressors? Expalain the reason?please helpClimate change and CO2 2011 Data collected fromaround the globe show that the earth is getting warmer.The most common theory relates climate change to anincrease in atmospheric levels of carbon dioxide (CO2),a greenhouse gas. The mean annual CO2 concentration inthe atmosphere (parts per million) is measured at the top of Mauna Loa in Hawaii, away from any local contami-nants. (Available at ftp://ftp.cmdl.noaa.gov/ccg/co2/ trends/co2_annmean_mlo.tx)The mean surface air temperature is recorded as thechange in °C relative to a base period of 1951 to 1980.(Available at data.giss.nasa.gov/gistemp/graphs_v3/)Here are a scatterplot and regression for the years from1959 to 2011:Dependent variable is TempR-squared = 82.3%s = 0.0985 with 53 - 2 = 51 degrees of freedomVariable Coefficient SE(Coeff) t-Ratio P-ValueIntercept -2.98861 0.2086 -14.3 ...0.0001CO2 0.0092 0.0006 15.4 ...0.0001a) Write the equation of the regression line.b) Is there evidence of an association between CO2 leveland global…
- Access the significsnce of each of the variables in the attached table. For age, write out all of the steps for hypothesis testing. For the other variables, report a p-value and conclusion. Write out the interpretation of the hazards ratios for age and sex in words. What is the estimated hazard ratio for a 10-year increase in age?A 2019 study surveyed Norwegian parents about their children's eating habits and taste sensitivities. We are interested in seeing if there is a relationship between sensitivity to sweetness and emotional overeating. The study reports an F* = 2.72 with df = 2 and dfw = 39. How many levels of 'sensitivity to sweetness' were used in the study? How many subjects participated in the entire study? Add WorkOverproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.f Over a period of months, an adult male patient has taken seven blood tests for uric acid. The concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.77 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O o is unknown O normal distribution of uric acid O n is large Oo is known O uniform distribution of uric acid (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is 0.05. O The probability that…
- first picture is the background informationdo fastLecture(8.8): The amount of time people engage in physical activity mat be related to health outcome. Those who report that they spend more than 15 hours are put into one while those who spend less 10 were put into another group. (Those who fall in between 10 and 15 were left out of the study); The reaearcher then ask the participants to wear a monitor for one month. The average time in minutes is recorded and shown below . Is there any evidence that on average people who watch less than 10 hours watching televsion spend more time on physical activity.?. Test the hypotheses at (alpha=0.05) using the 5 step procedure <10 hours 75 63 118 35 82 >15 hours 62 6 78 43 22 33