Example 6-16. A man with n keys wants to open his door and tries the keys independently and at random. Find the mean and variance of the number of trials required to open the door, (i) if unsuccessful keys are not eliminated from further selection,
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- Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance? H0:H0: Select an answer μ p1-p2 μ1-μ2 μd p Select an answer ≠ < > = (please enter a decimal) H1:H1: Select an answer μ p1-p2 μd p μ1-μ2 Select an answer ≠ > = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)One of the basketball coaches chose 45 players for the purpose of knowing their speed on running and scoring on the net, for the purpose of creating a good team, and he evaluated the results of each player in terms of running and scoring by putting the word "good or not good". Good 7 players have good running speed but net scoring is not good 8 players have not good running speed but net scoring is good 10 players have bad running speed and net scoring is not good Test at 5% importance level What is the running speed and scoring on the net network independentHelp me please
- 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:Cigarette packets used to contain cards representing such things as flowers, film stars or football teams. A complete set would comprise n different cards, say, and collectors would aim to obtain a complete set. Clearly, the first packet bought would contain a new card which would start the collection. The next card obtained might simply duplicate the first card, or it might also be a new card, and add to the collection, and so on. Obtain expressions for the mean and variance of the number of packets which must be purchased until a complete set of cards is obtained.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=0.05 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 42 42 23 32 30 42 25 47 35 38 Sit-ups after…
- Solve second oneA 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 3030 3939 5353 3838 3333 5151 2222 3838…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 10Zee TV believes that its viewership is 29%. Random sample of 600 TV is taken. Out of these, only 150 observed zee TV programs. Do you support the belief of Zee TV. Take α= 5%Scenario: A researcher wants to know whether a hard copy of a textbook provides additional benefits over an e-book. She conducts a study where participants are randomly assigned to read a passage either on a piece of paper or on a computer screen. After a distractor task lasting 30 minutes, the participants are tested for their comprehension of the passage with a multiple-choice test containing 10 questions about their passage. Comprehension was scored using percent correct (0 — 100%). The researcher predicts that those randomly assigned to read the passage on a piece of paper will remember significantly more than those who read the passage online. Question: What is the research / alternate hypothesis for this scenario? People who read a passage on a piece of paper will remember more than those who read a passage online. People who read a passage on a piece of paper will not remember more than those who read a passage online. Amount remembered of a passage will vary based…