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Q: A researcher wants to know how long it takes, on average, for a certain species of bacteria to…
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- A researcher wants to know how long it takes, on average, for a certain species of bacteria to divide. She watches 17 cells through a microscope and times how long it takes them to divide. She obtains the following data, in hours:8.1, 7, 7.4, 7.4, 6.6, 7.3, 7.5, 7, 7.7, 6.9, 7.9, 6.7, 6.7, 6.9, 7.5, 7.1, 7.3Assuming the population standard deviation is σ=0.4, construct a 89% confidence interval for the average time it takes this species of bacteria to divide.xˉ=α2=zα2=Margin of Error: E=We are 89% confident that this species of bacteria takes, on average, between ___hours and ___hours to divide.Pls show work so I can understandShelia’s doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 136 milligrams per deciliter (mg/dl) one hour after ingesting a sugary drink. Shelia’s measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 125 mg/dl and σ = 11 mg/dl. a)What are the mean and standard deviation of the distribution of sample proportion if measurements are made instead on 40 separate days? b)If measurements are made on 40 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes? c)Let’s consider what could happen if we took 40 separate measurements from Shelia. What is the blood glucose level L such that the probability…
- A local veterinarian uses Z-scores to determine if newborn puppies of certain breeds are severely underweight, underweight, overweight, severely overweight, or within a typical weight range for their breed. Z-score Diagnosis Severely underweight Between -4.0 and -3.0 Underweight Less than -4.0 Between -3.0 and 3.0 Within the normal range Between 3.0 and 4.0 Overweight Severely overweight Greater than 4.0 Breed Mean (pounds) Standard deviation (pounds) Siberian Husky 23.2 2.5 Golden Retriever 31.5 2.1 Chow Chow 18.5 2.4 Shiba Inu 13.9 1.2 (a) What values would be considered to be normal for a hypothetical Siberian Husky puppy? Between and Enter an integer or decimal number (more. Report these answers to one decimal place (nearest tenth). (b) Show calculations and explain your reasoning.Refer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident- prone than the younger group? What other explanation might account for the difference in accident rates?A study is run to estimate the incidence of atrial fibrillation (AF) in men and women over the age of 60. Development of atrial fibrillation was monitored over a 10-year follow-up period. The data are summarized below. Using this data, compute the cumulative incidence of AF in men and in women respectively. Developed AF Did not Develop AF Men 133 6153 Women 79 7167
- Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are: Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF), y x1 x2 30.3 6.0 40.0 24.2 12 40 27.9 8 49 On the basis of the sample results, the regression equation is: yˆy^ = 56.26 − 0.66x1 − 0.59x2 How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F? (Round your answer to 2 decimal places.) What effect would installing 7 inches of insulation instead of 6 have on the monthly natural gas consumption (assuming the outdoor temperature remains at 40 degrees F)? (Round your answers…Referring to Table 2, the mean square for the factor filling time is____ 1). 0.9030 2). 0.4234 3). 0.4515 4). 0.2117