The owners of the Franklin Park Mall are studying the shopping habits of their customers. From earlier studies the owners are under the impression that a typical shopper spends 0.75 hours at the mall. Recently the mall owners have added some specialty restaurants designed to keep shoppers in the mall longer. A consulting firm has been hired to evaluate the e↵ects of restaurants. A sample of n = 45 shoppers was selected and revealed the sample mean time spent in mall of ¯x = 0.80 hours and the sample standard deviation of s = 0.10 hours. (a) Use ↵ = 0.01 and conduct a hypothesis test H0 : µ = 0.75 versus Ha : µ > 0.75 (b) Interpret your answer in part (a).

Use the frequency distribution, which shows the number of american voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range. ages frequency 18 to 20 5.9 21 to 24 7.7 25 to 34 20.4 35 to 44 25.1 45 to 64 54.4 65 and over 27.7 the probability that a voter chosen at random is in the 18 to 20 years old age range is nothing. (round to three decimal places as needed.)

What is the approximate value of  q  in the equation below? –1.613–1.5220.5853.079

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.