The accompanying data consists of prices ($) for one sample of california cabernet sauvignon wines that recieved ratings of 93 or higher in the may 2013 issue of wine spectator and another sample of california carbernets that received of 89 or lower in the same issue.
> = 100 100 60 135 195 195 125 135 95 42 75 72
=< 80 75 75 85 75 35 85 65 45 100 28 38 50 28
assume that these are both random samples of prices from the population of all wines recently reviewed that received ratings of at least 93 and at most 89, respectively.
a. investigate the plausibilty of assuming that both sampled populations are normal.
b. construct a comparative boxplot. what does it suggest about the difference in true average prices?
c. calculate a confidence interval at the 95% confidence level to estimate the difference between mu1, mu2, the mean price in the lower rating population. is the interval consistent with the statement "price rarely equates to quality" made by a columnist in the cited issue of magazine?

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.

Measure of angles 31 (x+4) (3x+9) me

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