Arandom sample of 1562 undergraduates enrolled in a marketing course was asked to respond on a scale from one (strongly disagree) to seven (strongly agree) with the proposition: “advertising raise our standard of living.” the sample mean response was 4.27, and the sample standard deviation was 1.32. test the null hypothesis that the population mean is 4, against the alternative hypothesis that it is not 4. use a 1% level of significance. the test statistic and its sampling distribution are .

Which graph represents the following piecewise defined function?

The reflexive property of congruence lets you say that ∠pqr ≅

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.