Aquality control specialist for a restaurant chain takes a random sample of size 13 to check the amount of soda served in the 16 oz. serving size. the sample mean is 13.30 with a sample standard deviation of 1.54. assume the underlying population is normally distributed. we wish to construct a 95% confidence interval for the true population mean for the amount of soda served. what is the error bound

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?