12. (18 pts) In a survey of 203 professional athletes, it was found that 98 of them owned a convertible, 86 of them owned a giant screen TV, and 98 owned a sporting goods store. 25 owned a convertible and a store, 36 owned a TV and a store, and 51 owned a convertible and a TV. 15 owned all three items. a. How many athletes did not own any of the three items? 18:
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- At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 12 x + y = 44 + z + u and x − y + z − u = 36. How large was the audience of each of the four companies at the end of that year? Microsoft million Time Warner million Yahoo million Google millionAt the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 10 x + y = 50 + z + u and x − y + z − u = 46. How large was the audience of each of the four companies at the end of that year?At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 22 x + y = 50 + z + u and x − y + z − u = 58. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo Google
- A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareA large family travelling on the road in convoy decided to stop at a bed and breakfast since it was getting pretty late. However, there were too many people so they decided to split up to 3 nearby bed and breakfasts. 40% of the family members stayed at B&B 1, 35% stayed at B&B 2, and 25% stayed at B&B 3. According to feedback, 6% of the rooms in B&B 1 have lights that do not work, 9% of rooms in B&B 2 have lights that do not work, and 7% of rooms in B&B 3 have lights that do not work. 1) Given the data above, make a venn diagram.2) Determine the probability that a family member will have a room with functional lights. 3) Determine the probability that a family member whose room lights do not work was assigned to B&B A.At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 16 x + y = 50 + z + u and x − y + z − u = 52.
- In 1975, the automobile industry determined that 40% of American car owners drove large cars, 20% drove intermediate-sized cars, and 40% drove small cars. A second survey in 1985 showed that 70% of the largecar owners in 1975 still owned large cars in 1985, but 30% had changed to an intermediate-sized car. Of those who owned intermediate-sized cars in 1975, 10% had switched to large cars, 70% continued to drive intermediate-sized cars, and 20% had changed to small cars in 1985. Finally, of the small-car owners in 1975, 10% owned intermediate-sized cars and 90% owned small cars in 1985. Assuming that these trends continue, determine the percentages of Americans who own cars of each size in 1995 and the corresponding eventual percentages.A company claims that its brand of dish detergent, A, is more effective than a competitor’s brand, B. Fifty dirty dishes are randomly selected and randomly divided into two groups. In one group, each dirty dish will be placed in a container of hot water with Brand A detergent and in the other group, each dirty dish will be placed in a container of hot water with Brand B detergent. The dishes will sit for two hours, and then the cleanliness of the dishes will be measured using a scale of 1–10 (1 = least clean to 10 = most clean). The difference in mean cleanliness ratings for the two detergents (A – B) will then be calculated. What is the appropriate inference procedure?The majority of clothing retailers use mannequins to display their merchandise, with approximately one‑third displaying mannequins with heads and two‑thirds displaying mannequins without heads. Researchers recruited 126 female participants and assigned each to one of the two mannequin styles (head/headless). Participants were asked to imagine that they wanted to buy a new dress and told to go to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and were asked whether or not they would buy the dress. Of the 63 participants viewing the dress displayed on a mannequin with a head, 18 indicated that they would buy the dress, while only 10 of the 63 participants viewing the headless mannequin indicated that they would buy the dress. Assuming the conditions are met, calculate the test statistic and ?-value. Give the test statistic to two decimal places and ?-value to four decimal places.