You measure 33 turtles' weights, and find they have a mean weight of 48 ounces. Assume the population standard deviation is 14.1 ounces. Based on this, construct a 90% confidence interval for the true population mean turtle weight.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.