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- Out comes for the tree diagramstion 3 of 14 <. You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during the festival, but the weather forecast says there is a 45% chance of rain on the first day, a 55% chance of rain on the second day, a 10% chance of rain on the third day, a 10% chance of rain on the fourth day, and a 5% chance of rain on the fifth day. Assume these probabilities are independent of whether it rained on the previous day or not. What is the probability that it does not rain during the entire festival? Express your answer as a percentage to two decimal places.Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 678 randomly selected adults showed that 50.5% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim. The results v significantly v so there V sufficient evidence to support the claim that most adults would erase all of their personal information online if they could.
- A production superintendent claims that there is no difference between the employee accident rates for the day versus the evening shifts in a large manufacturing plant. The number of accidents per day is recorded for both the day and evening shifts for n = 100 days. It is found that the number of accidents per day for the evening shift XE exceeded the corresponding number of accidents on the day shift xp on 63 of the 100 days. Do these results provide sufficient evidence to indicate that more accidents tend to occur on one shift than on the other or, equivalently, that P(XE > XD) # 1/2?Q1(10). Manatees are one creature found in coastal waterways. To study this creature, a random sample of 12 manatees were selected, the sample manatees were released before their weights (in pounds) were carefully recorded: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assuming the underlying distribution of manatee weights is normal. 1(5). Find a 95% confidence interval for the true mean weight. 2(5). In a similar study 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1000 pounds. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight is less than 1000 pounds now. Solve the hypothesis using P-value method. Let a = 0.05.Fast male cross-country runners have 5K times that are approximately normal with mean 16.5 minutes and standard deviation 0.5 minutes. Use the 68-95-99.7 rule to approximate the probability that a randomly selected fast male cross-country runner completes a 5K in less than 17 minutes.
- Example: Independent t-Test ● A group of 30 people jump into the Atlantic. Their temperature is taken immediately when they get out of the water (mean = 96.3). At the same time, the temperatures of 30 random people waiting on the beach are also taken (mean = 98.4). Do the two groups significantly differ? ● a) What hypothesis test? ● b) Assumptions? (pretend they've all been met) c) Hypotheses? ● ● d) If SE= .6, what is the test statistic? ● e) df=?, Critical value=2.000 f) Conclusion? g) 95% Cl of the drop in temperature? ● ●An arcade machine costs one dollar to play. Every time you play, there is a 1/10 chance of winning.(a) Let A be the number of times you play until you win. Find the variance Var[A].(b) Ten people play the arcade machine; each one keeps playing until they win, and thenit’s the next person’s turn. Let B be the number of times they play in total. Find thevariance Var[B].(c) Ten years later, you come back to the arcade machine, and it’s exactly the same, exceptthat due to inflation, the machine costs $10 to play.Let C be the the total cost of playing until you win. Find the variance Var[C].A fair coin is tossed three times. Let X be number of heads. (1) Write out the sample space. (2) Find P(X=2) (3) Find E(X)
- Foofy obtained a significant Fobt from an experiment with five levels. She therefore concludes that changing every condition of the independent variable results in a significant change in the dependent variable. (a) Is she correct? Why or why not? (b) What must she now do?24% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomi U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at lea (a) P(3)%3D (Round to three decimal places as needed.) (b) P(x24)= (Round to three decimal places as needed.) (c) P(X<8)3D (Round to three decimal places as needed.) Enter your answer in each of the answer boxesAn automobile manufacturer has developed a new type of bumper, which is supposed to absorb impacts with less damage than previous bumpers. The manufacturer has used this bumper in a sequence of 25 controlled crashes against a wall, each at 10 mph, using one of its compact car models. Let X = the number of crashes that result in no visible damage to the automobile. 1.The (parameter/random_variable/statistics/variable) , [variable],[statistics],[random_variable] to be estimated is p. 2. Continuing this question, p the is (percentage/median/average/poportion) of such crushes that result in no damage [alternatively, p = P(no damage in a single crash)]. Select the correct answer from the options inside the (bracket).
