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- Suppose we want to estimate the proportion of the Helena population who have used marijuana within the last month. We select 4328 participants and ask them each to first privately draw a card from a standard 52-card deck. If they get a “club” they are asked to respond truthfully to the question “Have you used marijuana within the last month?”If they get any other suit they are asked to respond to the question “Does your phone number end in an odd digit?”The study is blinded in the sense that the researcher doesn’t know which question the participant is answering. Hence, participants are guaranteed anonymity and are more likely to be truthful in their responses. The researchers only get a “yes” or “no” answer from each respondent and don’t know the actual results of the card draw. What is the expected probability of a person’s phone number ending in an odd digit? What is the expected probability of a person’s phone number not ending in an odd digit?8. A student runs an experiment to test how microwave power and temperature affect popping. Each bag of popcorn can be popped for 3 minutes or 4 minutes. The microwave power can be set to low, medium and high. Each combination of time and power is tested on one bag of popcorn and the number of unpopped kernels is recorded. The number of treatments in this experiment are: • 12 • 6 • 4In a certain school, 5/9 of the teachers are female, 3/8 of the male teachers are single, and 1/3 of the single males are over 50. what fractions of the teachers are single makes under 50?
- PLEASE SHOW COMPLETE SOLUTION.9. For a 3x2x3 a. How many factors are in this design? b. How many levels do we have for each factor? c. How many separate ANOVAS do we have to conduct?4. In an animal experiment, three mice with dandruff in their hair are washed with hair shampoo. The mice are named Alpha, Bravo and Charlie. From many previous animal experiments, it is known that (i) Alpha, Bravo and Charlie have no dandruff after washing in 30%, 45% respectively 65% in most cases they no longer have dandruff. (ii) The shampoo on Alpha, Bravo or Charlie in 95% of the cases works.
- Suppose a coupon allow you to choose 2 movies out of 5 to get a 20% discount on a Saturday. How many different ways can you choose 2 movies out of 5?how many hand shakes with six people using polya problem12. (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? b. How many owned à convertible and a TV, but not a store? 36 c. How many athletes owned a convertible or a TV? d. How many athletes owned exactly one type of item in the survey? e. How many athletes owned at least one type of item in the survey? f. How many owned a TV or a store, but not a convertible?
- 23. The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.Construct a 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet.Calculate the following. (Round your answers to two decimal places.) (a) lower limit________________(b) upper limit_______________(c) error bound _______________In how many ways can 6 marbles be distributed among 3 boxes?An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?