Anne is studying for a history exam covering the French Revolution that will consist of five essay ques- tions selected at random from a list of ten the professor has handed out to the class in advance. Not exactly a Napoleon buff, Anne would like to avoid researching all ten questions but still be reasonably assured of getting a fairly good grade. Specifically, she wants to have at least an 85% chance of getting at least four of the five ques- tions right. Will it be sufficient if she studies eight of the ten questions?

Indiana has a population of about 7 million people and Ohio about 12 million. Is it possible for there to be a poll where over 50% of Hoosiers say "yes", over 50% of Ohioans say "yes", but over 50% of all residents of both states say "no"? If no, explain why not. If yes, give an example of how that could happen.

According to Inc.com, 71% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. A survey of 22- to 30 -year-old job seekers showed that 310 of the  370 respondents use social media in their job search. In addition, 275 of the 370 respondents indicated they have electronically submitted a resume to an employer.

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

The past records of a supermarket show that its customers spend an average of $110 per visit at this store. Recently the management of the store initiated a promotional campaign according to which each customer receives points based on the total money spent at the store, and these points can be used to buy products at the store. The management expects that as a result of this campaign, the customers should be encouraged to spend more money at the store. To check whether this is true, the manager of the store took a sample of 14 customers who visited the store. The following data give the money (in dollars) spent by these customers at this supermarket during their visits. 106.13 107.43 124.68 124.88 101.17 72.75 85.45 86.05 100.4 98.84 101.63 95.56 89.40 119.52 Assume that the money spent by all customers at this supermarket has a normal distribution. Using a 2.5% significance level, can you conclude that the mean amount of money spent by all customers at this supermarket after the…