Draw a tree diagram for each of the following experiments. a) Suppose a lecturer selects two students as a class representative and an assistant. State the combination of females and/or males selected as the representative and the assistant if there are 2 males and 3 females in the class.
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Draw a tree diagram for each of the following experiments.
a) Suppose a lecturer selects two students as a class representative and an assistant. State the combination of females and/or males selected as the representative and the assistant if there are 2 males and 3 females in the class.
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- StarHortons Cup, the coffee company, wants to determine how long caffeine lasts throughout the day when individuals have a cup of one of their 3 types of coffee at 9am. They will then measure the levels of caffeine in these individuals’ systems at 10am, 12am, 2pm, 4pm, 6pm and 8pm. They want to have at least 20 observations per group. How many separate/distinct groups of participants are needed if they want to conduct this experiment using a mixed-measures ANOVA? 18 6 20 3Thank you for your feedback on part b. Per your instruction, re-posting question part a. I need help visualizing a tree diagram for this problem. Thank you in advance. Question: A family wants to adopt pets from the local animal rescue. They have prepared a final list of five, all of whom are healthy. Of the five animals, one is a cat and four are dogs. The family decides to select two animals randomly from these five possibilities. a.) Draw a tree diagram to show all possible outcomes of this selection process. Label the probability associated with each stage of the selection on the appropriate branch. Make a table with the outcomes and the probability of each outcome.This semester, we have talked about creating random samples as well as desirable qualities of random samples. Other than randomness, one quality of random samples that we have talked about is representation. Using your knowledge of that concept, consider this problem. At a college, 29% of the students are in their first year, 27% are in their second year, 25% in their third, and 19% in their fourth. You take a survey of students and when you classify them by year of study, you have 49, 70, 56, and 25 students in their first, second, third, and fourth years respectively. The table below highlights this information. Year of School First Second Third Fourth Total College Percents Sample Counts Expected Counts 27% 70 25% 56 29% 19% 49 25 200 58 54 50 38 Under the assumption that we think the college enrollment percentages should match our sample, and that therefore our sample represents the college: a) What would the critical value be? (use a = 0.05) b) Find the test statistic to test (c)…
- A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and B). Three pairs of twins are being studied tonight. Each pair of twins will be assigned to one of the four rooms, and then each twin will be assigned a specific bed in the room. How many ways are there to organize the experiment? (i.e. How many ways are there to assign the 6 subjects to rooms and beds if each pair of twins must share the same room?) 24 8 192 48 12For an experiment on influencing the choices of others by offering undesirable alternatives, each of 103 college students selected three portable grills from five to display on a showroom floor. The students were instructed to include Grill #2 (a smaller-sized grill) and select the remaining two grills in the display to maximize purchases of Grill #2. If the six possible grill display combinations (1-2-3, 1-2-4, 1-2-5, 2-3-4, 2-3-5, and 2-4-5) were selected at random, then the proportion of students selecting any display was 1/6=0.167. One theory tested by the researcher was that the students would tend to choose the three-grill display so that Grill #2 was a compromise between a more desirable and a less desirable grill(that is, display 1-2-3, 1-2-4, or 1-2-5). Of the 103 students, 57 selected a three-grill display that was consistent with this theory. Use this information to test the theory proposed by the researcher at α=0.01. 1. Identify the test statistic, z.…A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public university. Although the samples were not selected at random, they were selected to be representative of the two populations. n USE SALT For the sample of users of the website, the mean number of hours studied per day was 1.46 hours and the standard deviation was 0.83 hours. For the sample of students who do not use the website, the mean was 2.77 hours and the standard deviation was 0.99 hours. Do these sample data provide convincing evidence that the mean time spent studying for users of the website at this university is less than the mean time spent studying by students at the university who do…
- Suppose you try to conduct a presidential approval poll of 10,000 likely U.S. voters. You know that 44% of the voters are registered with the Independent party, 28% are registered with the Reform party and 23% are registered with the Green party. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be Green party?At a tourist place, it has been observed that: 40% of the women like to travel with a Purse, 30% of the women like to travel with a Sunglass, 35% of the women like to travel with a Watch, and it is also noted that: 12% of the women like to travel with a Purse and a Sunglass, 3% of the women like to travel with all these three luxuries, 10% of the women like to travel with a Purse and a Watch, and 8% of the women like to travel only with a Sunglass. Purse Watch Sunglass Modern women like luxury. A woman What percentages of the women like to travel with Watch only? a. 30% b. 27% ♥ What percentages of the women do not like to carry them C. 40% (Purse, Sunglass, Watch)? v What percentages of women like to travel with Purse only? v What percentages of women like to travel with both Watch f. 13% and Sunglass? d. 65% e. 15% g. 52% v What percentages of women like to travel either with Watch or with Sunglass? v What percentages of women like to travel with Sunglass only? h. 8% i. 21%Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.
- A basketball coach is interested in determining if shooting free throws underhand is better than shooting them using the overhead method. He has four high school teams (two boys' teams and two girls' teams, with 13 players on each team) available to take part in an experiment. He believes that the difference in shooting percentages will vary more for boys than for girls. He randomly chooses and instructs half of the boys to continue shooting free throws overhead and the rest of the boys to shoot underhand. He does the same for the girls. At the end of a six-game summer league, he compares the shooting percentages for the overhead shooting boys to the underhand shooting boys and the overhead shooting girls to the underhand shooting girls. (a) What is the advantage of using a block design for this study? O Blocking by gender will reduce the variation in the response variable by creating homogeneous groups and determining the effect of the new shooting style on the response (percentage of…Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10Help.