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- In a recent study, 50males used a new weight-loss supplement, and 38 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and 16of them experienced weight loss after two weeks.Fill in t he blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one: males/females) in the study. That is because only ____% of them lost weight after two weeks, whereas ____% of the ▼(Choose one:males/females) lost weight after two weeks.In a study of pain relievers, 20 people were given product A, and all but 5 experienced relief. In the same study, 50 people were given product B, and all but 16 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product A or B performed worse in the study. That is because ____ % failed to get relief with the product, wheares only ____ % failed to get relief with product A or BIn a recent study, 50 males used a new weight-loss supplement, and all but 14 of them experienced weight loss after two weeks. In the same study, 100females used the same supplement, and all but 14 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.
- Q15) A cookie jar containts 15 chocolate chip and 5 oatmeal cookies. If 3 cookies are randomly selected, what is the probablity at least one is an oatmeal cookie? (Find TWO METHODS to calculate this problem, and show the work)A statistician read that 77% of the population oppose replacing $1 bills with $1 coins. To see ifthis claim is valid, he selected a sample of 80 people and found that 55 were opposed toreplacing the $1 bill. At α = 0.01, test the claim that at least 77% of the population are opposedto changeA chocolatier, a person who makes chocolate candy, at a candy company has developed a new dark chocolate candyand believes it will be less bitter than the current dark chocolate candy on the market. The chocolatier hiredprofessional taste testers to participate in an experiment. The chocolatier flipped a coin for each participant. If thecoin landed on heads, the participant tasted the new dark chocolate candy first, then tasted the current darkchocolate candy. If the coin landed on tails, the participant tasted the current dark chocolate candy first, then tastedthe new dark chocolate candy. The participants rated the bitterness of each dark chocolate candy on a scale of to, with being the least bitter and being the most bitter. Using a paired -test to test the belief, the chocolatiercalculated a p-value of .0.274Assuming the conditions for inference have been met, which of the following is the best conclusion for thechocolatier’s hypothesis test?(A)Because the -value is less than any…
- Suppose that an experimenter tossed three balanced coins. He defined X1, to denote thenumber of heads and X2, is to denote the amount of money won on a daily lotto bet in SouthAfrica in the following manner. If the first head occurs on the first toss, R1 (one rand) is won. Ifthe first head occurs on toss 2 or on toss 3, R2 or R3 is won respectively. If no heads appear,the R1 (that is, win −R1) is lost.Findi) the joint probability function of X1and X2. ii) the probability that less than 3 heads will occur and the student will win R1 or lessAn automobile manufacturer is considering using robots for part of its assembly process.Converting to robots is expensive, so it will only be done if there is strong evidence that theproportion of defective installations is less for the robots than for the human assemblers. Let pdenote the actual proportion of defective installations for the robots. It is known that theproportion of defective installations for human assemblers in 0.02.a. Write your Null and Alternative Hypotheses. b. In the context of this exercise describe a type I and Type II errors. c. Which value would you select for alpha (.1, .05, .01)? Explain your reasoning.A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =
- (Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and CLet’s assume the average income for all majors in the School of Engineering is $80,000. However, the chair of the Computer Science department thinks their students earn more than that. Please choose the appropriate null and alternative hypotheses if the chair wanted to test this belief. a. H0: u <=80,000 Ha: u > 80,000 b. H0: u= 80000 Ha: u not= 80000 c. H0: u >80000 Ha: u < 80000 d. H0: u >80000 Ha: < 80000 e. None of the above.36% of canadians are single and 20 % are corona infected whereas 12 % are single and corona infected. Given that a selected individual is married, the probabilty that he/ she is corona infected 0.750 0.125 0.250 0.875