Let Y be a random variable. Suppose you are interested in estimating the population mean, E(Y). Which of the following statements about confidence intervals and hypotheses tests are true? (Check all that apply.) A. A single hypothesis test about the population mean, E(Y), contains more information than a confidence interval. B. A confidence interval summarizes the set of hypotheses about the population mean, E(Y), you can and cannot reject at a given significance level. C. A confidence interval defines a rejection rule, at a specified significance level, for all possible values of the population mean, E(Y), whereas a single hypothesis test is a rejection rule for only one possible value of the population mean. D. A confidence interval defines a rejection rule, at a specified significance level, for only one possible value of the population mean, E(Y), whereas a single hypothesis test is a rejection rule for all possible values of the population mean.

What is the solution of the systems of equations? y=2/3x+3 x=-2

Nick has box brads. he uses 4 brads for the first project. nick let’s b represent the original number of brads and finds that for the second project, the number of brads he uses is 8 more than half the difference of b and 4. write an expression to represent the number of brads he uses for the second project.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?