27. Tom and Jerry play a table tennis match where the winner is either the first person to win two games in a row, or the first person to win three games total. Draw a tree diagram to illustrate all outcomes of this experiment.
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- A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic? Red A Green B Blue C Yellow D OrangeThe owner of a popular coffee shop believes that customers who drink espresso are less likely to use their own cup compared to customers who drink coffee. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all espresso purchases and 50 receipts from all coffee purchases. For espresso purchases, 15 receipts showed that the customer used their own cup. For coffee purchases, 24 receipts showed the customer used their own cup. Let pEspresso= the true proportion of customers who drink espresso and use their own cup and pcoffee= the true proportion of customers who drink coffee and use their own cup. Which of the following is the correct standardized test statistic and P-value for the hypotheses, Ho: PEspresso - Pcoftee =0 and H, PEspresso - Pcoft < 0? Find the z-table here. 0.30 -0.48 O z .P-value =0.033 (0.39(0.61), (0.39)(0.61) 50 50 0.30-0.48 (0.30)(0.70) , (0.48)(0.52) O z= P-value = 0.033 50 50 0.48 - 0.30…Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
- 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:8. Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tree diagram represents all possible outcomes. Rob Sonja Jack Ang T-shirt Mug T-shirt Mug T-shirt Mug T-shirt Mug Part A What is the probability that Ang wins and is given a mug? Explain. Part B Will the probability change if the prize were chosen first? Explain.When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.
- 15. You have a box of winter accessories in your attic with 12 hats and 23 scarves. A. Construct a tree diagram to model possible outcomes and probabilities in which you draw two accessories without replacement. B. Find the probability of getting two scarves. C. Find the probability of getting a hate first and a scarf second.Es A census of all the 12,475 current students at the local community college showed that 56.5% want to transfer to a university, their average age is 21.7 years, and 60 of them are pursuing degrees in mathematics. In order to attract more students, the math department organized an "Opportunities in Mathematics" fair for current students of the college. A total of 267 students from those who attended responded to a poll. The poll showed that 83% of those who answered want to transfer to a university, the average poll respondent was 22.3 years old, and 77 them were interested in pursuing a degree in mathematics. (a) For the math fair poll, identify the population and the sample. Population: (Choose one) Sample: (Choose one) (b) Choose whether each number described below is a parameter or a statistic for the math fair poll. Number Parameter Statistic The 60 students pursuing a math degree among all the current students at the community college The 56.5% of all current students at the…A researcher recruits 20 female dogs and 20 male dogs (as well as their owners) at the local dog park. She takes a poll to find out who has passed and who has failed the puppy pre-school final exam. She learns that 14 female dogs have passed, and only 11 male dogs have passed. Which statistical test does she need to conduct to determine if female dogs are actually more likely than male dogs to pass the puppy pre-school final exam? Two-way factorial ANOVA Chi-square test of independence Point-biserial correlation Goodness-of-fit chi-square test
- 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 10. A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 children have won a teddy bear. You decide to simulate the game with a random number table. a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials. c) What percentage of a “6” in 50 trials did you get from the simulation? d) What percentage of a “6” did you observe at the carnival? e) How do your answers for parts (c) and (d) compare? What does this tell you about the