Three coins are tossed. Model the experiment of observation of Heads. Coin #1 is a fair coin coin #2 has p(H) =0.6 and coin #3 has p(H)=0.7.
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- Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data. Test the null hypothesis that the population frequencies for each category are equal. α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe = What is the correct result based on the data?Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction Within 5 Minutes After 5 Minutes Row Total NoneMildStrong 4025543 64323113 466378156 Column Total 500 500 1000 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (d) P(N and…A food company is planning to market a new kind of cereal; however before, they want to find the % of people who will like it. They select a random sample of 500 people and ask them to try the cereal. Of 500, 290 people say they like it. Compute the 95% cofidence interval for the % of the pop. that will like the cereal. Interept this cofidence interval.
- Measurements of the elderly are given by playing a block building game to see how tall they can build a tower. One block-building experiment repeated one month later, gave us the times (seconds) of five pairs of participants' completion times. Test the claim that there is a difference between the two experiments. A. At 1%, use the Classical approach & conclude it. B. Use the P-value approach & conclude it. 1st Experiment (A) 35 28 29 26 29 2nd Experiment (B)33 27 27 27 23 . Computing for the estimate of standard error =8 P-value approach: Using the t-distribution, we find the p-value is equal to 0.3899 for the two-tailed test. 0.3899> significant level a/2=0.005, so, one must fail to reject. Additionally, there's not enough evidence to conclude a significant difference in the times between the two experiments.man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…#10
- A researcher wants to study the proportion of people on trial for first degree murder who are found guilty. From a random sample of 60 people on trial for first degree murder, 45 people were found guilty. The picture below is the question. The above text is the used with the picture.Determining whether two samples are independent or paired a... Charmaine has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the San Bernardino Freeway, and the other is to go via the Pomona Freeway. Recently, a lane was added to the San Bernardino Freeway. So, Charmaine wants to determine if it is now faster to take the San Bernardino Freeway than the Pomona Freeway. She selected a random sample of 12 of her trips via the San Bernardino Freeway and a random sample of 12 of her trips via the Pomona Freeway. The two samples were chosen separately, so that the selection of the trips via the San Bernardino Freeway did not affect the selection of the trips via the Pomona Freeway. Charmaine recorded the travel times (in minutes) for the trips in each of the two samples. The following table gives the data, sample means, and sample standard deviations. S.B. Fwy 79, 76, 66, 69, 71, 75, 67, 75, 65, 60, 76, 74 Pomona Fwy 63, 76, 79, 78, 74, 71, 65, 75,…A political claims that 57% of voters in Madison County support his candidate. In a poll 400 randomly selected voters, 204 Of them support the strategist's candidate. At a=.05 is the political strategist's claim warranted? Yes or No and what is the Test Value?
- Red light! Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red. First, identify n= 10 and p = 1 Then plug them into the stapplet under Binomial distributions. 1. Find P(X 8) = P(Pedro gets exactly 8 red lights) = %3D 2. Find P(X 5) = P(Pedro gets more than 5 red lights) = a 9Hans plays a game when he exercises. He chooses a marble from a bag of three marbles: one is blue, one is red, and one is green. Based on the marble he chooses, he completes a certain number of push-ups, as shown below. Marble Number of push-ups blue red green 10 Consider choosing a marble like sampling from a population. (The population mean of the number of push-ups is u=9.00 and the population standard deyiation is o =0.82.) (a) Suppose a sample of size 2 is randomly selected from the population, with replacement, as follows. One marble is randomly chosen, the number of push- ups is completed, and the marble is put back into the bag. Then for a second time a marble is randomly chosen and the number of push-ups is completed. There are 9 possible samples. The numbers of push-ups for several of the possible samples have been listed in the table below. Enter the numbers of push-ups for the remaining possible samples. When you are done, select "Compute". In the "Sample mean, x" column,…
