What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no
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a. What is the
b. What is the probability of seeing positive change given that the tree is oak?
c. Do the data suggest effect and tree type are independent
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- 4. For the two circumstances below, explain which type of probability (empirical, subjective, theoretical) is being used to make the prediction. If more than one type of probability is involved, explain which elements of the process use which of the methods. a. A scientist studying ants builds an ant farm and maps the routes they travel throughout the course of a week through careful observation. Later the scientist uses these observations to generate an interactive map of a natural environment that lists the probability of finding ants in any given location at a particular time. b. A social scientist studying grocery store accessibility in a city recruits a small sample of study volunteers and interviews them about how far they travel for groceries. The researcher finds in the study that people from higher-income neighborhoods travel significantly less than people from low-income neighborhoods. Using a statistical model, the researcher predicts that their sample has a 95% chance of…21. There is a 30% chance Ju Ren wears a purple shirt on any given day, and a 60% chance that she wear jeans. What is the probability of her wearing NEITHER a purple shirt nor jeans on any day? Assume her clothing choices are independent. Group of answer choices 18% 21% 24% 28%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=0.05α=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 4242 4242 2323 3232 3030 4242 2525 4747…
- 4. 3. Victoria went to the store and bought 12 pieces of chocolates. She bought 5 pieces of dark chocolate and the rest were milk chocolate. If Victoria randomly picks a piece of chocolate without looking, what is the probability that she will pick a piece of milk chocolate? Write the probability as a percent and round to the nearest percent. Robert Navugs put all of the letters from his name in a bucket. If he randomly chooses a letter from the bucket without looking, what is the probability that he will choose a vowel? Write the probability as a fraction, decimal, and percent.2. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.07. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.30. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.31. What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form. Round to two decimal places as needed.In a study, it was found that 42.5% of the population drink soda at least once a day. You randomly select 8 people. Let X be the number of people in the sample that drink soda at least once a day.Then X has what distribution?
- 6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?Identify the two events described in the study and determine if the results indicate that the events are independent or dependent. Explain your reasoning. A study found that there is no relationship between being around cell phones and developing cancer.When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
- 5. When flipping a penny or spinning a penny, is the probability of getting heads the same? Use the data in the table below with a 0.05 significance level to test the claim that the proportion of heads is the same with flipping as with spinning. Heads Tails 14,709 14,306 9197 11,225 Flipping SpinningA 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=0.05α=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 3232 4545 2121 5050 3636 4444 2626 2020…Dr. Cy Clopps is ophthalmologist and owner of the Spex Appeal Eye Clinic. A review of 100 patient’s records indicated that 30 of these patients have vision insurance. Further, 35 of the 100 patients got bifocal glasses but had no insurance. Finally, 10 of the 100 patients had insurance but did not get bifocals. d. Of those with insurance, what proportion got bifocals? e.Are the events independent? Mutually exclusive? Collectively exhaustive?