A family has three children. If B represents boys and G represents girls, then the sample space is S {BBG, BGB, BGG, GBB, GBG, GGB, GGG} S {BBB, BBG, BGB, BGG, GBB, GBG, GGG} S= {BBB, BBG, BGB, BGG, GBB, GBG,GGB, GGG} %3D O S={BBB, BGB, BGG, GBB, GBG, GGB, GGG}
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- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement? Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course. Sit-ups before 42 42 23 32 30 42 25 47 35 38 Sit-ups after…Cigarette packets used to contain cards representing such things as flowers, film stars or football teams. A complete set would comprise n different cards, say, and collectors would aim to obtain a complete set. Clearly, the first packet bought would contain a new card which would start the collection. The next card obtained might simply duplicate the first card, or it might also be a new card, and add to the collection, and so on. Obtain expressions for the mean and variance of the number of packets which must be purchased until a complete set of cards is obtained.
- Find the Anova for: Group1: 5,1,11,2,8 Group2: 0,1,4,6,3 Group3: 13,9,8,15,7Q3 i): A survey of 500 randomly chosenindividualsis conducted. The individuals are askedto nametheir faxorite sport. The STATISTIX pie chart inthe following figure summarizesthe results of this survey Other (5.0%)- Hockey (10.0%)- -Baseball (30.0%) Golf (10.0%)- Footbal (25.0%)- -Basketbal (20.0%) Fig. 2-11 STATISTIX pie chart La) How many individuals inthe 500 gave baseball astheirfavorite sport? (b) How mary gave a sport other than basketball as their favorite sport? L) How many gave hockey or golf astheir favorite sport? ii) Thefollowing table gives the frequency distribution for the cholesterol values of 45 patients ina cardiacrehabilitation study. Givethe IgweLandupper class limits and boundaries as well asthe class marks for each class Chalastarol vala Fraquancy 170 to 189 190 to 209 10 210 to 229 17 230 to 249 13 250 to 269Here is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 7, -3, -5, where -5 represents a loss of 5 kg and positive values represent weight gained. Here are ten bootstrap samples: {13, 13, 13, -3), (13, -5, -3, 13}, {13, 5, 7, 3), (7, 5, 3, 13), {-3, -3, -3, 7}, {7, 5, 7, 5), (13, 7, 5, 3}, {-5, 7, 5, 7), {-5, -3, -5, 7}, {7, 13, 13, 13). Complete parts (a) and (b) below. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. (Round to one decimal place as needed.)
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