A college biology teacher wants to know whether being tutored at the study lab will help her students score higher on their final exam. She randomly selects 60 students from among the four sections of Introductory Biology that she teaches. Then she randomly divides them into two groups of 30 students each. Group A will be tutored at the study lab, and group B will not be tutored at the study lab. After all 60 students take their final exam, she will compare their results. Which of these are the treatments in this experiment?
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- 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.You have four pairs of socks, one pair each of red, blue, white, and green. Each morning, you reach into the drawer and pick out two random socks. How many days could go by before you picked exactly the same two colors of socks again?Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.
- Albright, Becker, Chalmers, Dawkins, and Earl all entered the primary to seek election to the city council. Albright received 2000 more votes that Becker and 4000 fewer than Chalmers. Earl received 2000 votes fewer than Dawkins and 5000 votes more than Becker did. In what order did each person finish in the balloting?Maya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Maya has recorded the travel times for samples of eleven trips via the 10 Freeway and eleven trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-two trips. Travel times in minutes 10 Freeway 74, 72, 75, 75, 74, 72, 67, 67, 75, 69, 71 60 Freeway 70, 80, 69, 71, 69, 77, 68, 79, 74, 79, 77 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ,, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal…Let’s say a psychologist suspects that emotions affect people’s eating habits, but that the eating habits of anxious people are affected differently. Ten highly anxious subjects are randomly divided into two equal-sized groups, one of which views a horror movie while the other watches a comedy. Ten non-anxious control subjects are similarly divided. The number of ounces of popcorn eaten by each subject during the movie is recorded. How many independent variables are there in this design? Name each of the factors and levels (using appropriate descriptors from the paragraph): How many total conditions (groups) are there in this design? Name the dependent variable:
- jared is opening several ice cream stores. The walls of the stores can be yellow or blue. He wants to determine if the color of the walls affects how much ice cream people eat. Jared finds 164 volunteers. He randomly assigns half of them to a room with yellow walls and lets them eat as much chocolate ice cream as they want for one hour. He assigns the other half to a room with blue walls and lets them eat as much vanilla ice cream as they want for two hours. Jared records the total amount of ice cream eaten in each room.Which would be an appropriate statistical model for Jared to use in order to determine if the color of the wall affects how much ice cream his customer will eat?In a class, 96% students have at least one smartphone, 98% have a calculator, and 95% have a calculator and at least one smartphone. What percentage of students in the class have neither a calculator nor a smartphone?At Cityville High School, 36% of the students participate in sports, 36% of the students participate in academic clubs, and 13% of the students participate in both sports and academic clubs. Find the proportion of students who participate in either sports or academic clubs.
- Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips: Travel times in minutes 10 Freeway 73, 69, 72, 71, 73, 73, 72, 73 60 Freeway 80, 75, 68, 72, 73, 81, 67, 75 Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list…Bart has six books: a novel, a biography, a dictionary, a self help book, a statistics text book, and a comic book. Bart's bookshelf has room for only three of the books. In how many ways can Bart choose and order three books?The U.S. Open Golf Tournament was played at Congressional Country Club, Bethesda, Maryland, with prizes ranging from $465,000 for first place to $5000. Par for the course is 70. The tournament consists of four rounds played on different days. The scores for each round of the 32 players who placed in the money (more than $17,000) are given. The scores for the first round were as follows. 71 65 67 73 74 73 70 75 71 72 71 75 75 71 71 72 72 73 71 67 66 75 75 75 71 The scores for the fourth round for these players were as follows. 69 69 73 73 73 74 72 72 70 71 71 72 71 71 71 71 69 70 72 74 72 71 68 69 70 69 71 73 74 1 2 3 4 (a) Make a stem-and-leaf display for the first-round scores. Use two lines per stem. (Enter your answers from smallest to largest separated by spaces. Enter NONE for stems with no leaves.) First-Round Scores X X X X 5 6 7 8 71 71 74 73 71 74 75 NONE NONE NONE NONE 70 NONE 72 73 (b) Make a stem-and-leaf display for the fourth-round scores. Use two lines per stem. (Enter…