One important aspect in statistics is to understand which statistical methods or procedures are appropriate to use to address the research problem orquestion of interest.A family (Rick, Gail, and daughters Emily, Sarah, and Mary Anne) has played board games regularly for multiple years. Because they are goodstatisticians, they record many variables about their games for future analysis. Assume that we have an appropriate random sample for eachscenario. For the following scenarios, indicate which type of hypothesis test should be performed. In the Game of Life, each player assumes an occupation. There are certain landing spaces (called profession spaces) that correspond to paying thosewith specific occupations. For example, you have to pay the Accountant if you land on the Taxes Due space. The family suspects that there is arelationship between your assumed occupation and the types of profession spaces you land on. They take a random sample of spins from many Gamesof Life, and record both the occupation and the type of profession space landed on in that roll.One-sample z-test for one population proportionOne-sample t-test for one population meanOne sample t-test for the population mean of differences (paired data)Two-sample t-test for the difference in two population meansOne sample t-test for the population slope of a regression lineChi-squared test of goodness of fitChi-squared test of independence

Answered: In the Game of Life, each player…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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XYZ company has designed a new lottery scratch-off game. The player is instructed to scratch off one spot: A, B, or C. A can reveal "loser," "win $1," or "win $50." B can reveal "loser" or "take a second chance." C can reveal "loser," or "win $500." On the second chance, the player is instructed to scratch off D or E. D can reveal "loser" or "win $1." E can reveal "loser" or "win $10." The probabilities at A are 0.9, 0.09, and 0.01 respectively. The probabilities at B are 0.8 and 0.2. The probabilities at Care 0.999 and 0.001. The probabilities at D are 0.95 and 0.05. The probabilities at E are 0.5 and 0.5. Calculate the expected value of the game and provide recommendations to a decision-maker
A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. Based on the scenario, answer the following question: Is it more likely that players will win or lose playing the game?
Practice question #1. Researchers at the University of Utah carried out a study to see if the size of the fork used to eat dinner influences how much food is consumed. The researchers assigned people to one of two groups. One group ate dinner using a small fork, and the other group ate using a large fork. The researchers found that thatthose who ate with a large fork ate less food on their plate than those who ate with a small fork. An articledescribing this study was called “Dieters Should Use a Big Fork”, implying cause-and-affect andgeneralizing this finding to the population of dieters. A. Under what circumstances would it be reasonable to conclude a cause-and-effect relationship between fork size and amount eaten? B. Under what circumstances would it be reasonable to generalize this finding to the population of dieters? Why is it often NOT appropriate to generalize the results of experiments to a wider population?
A farmer grows
Suppose you try to conduct a presidential approval poll of 10,000 likely U.S. voters. You know that 44% of the voters are registered with the Independent party, 28% are registered with the Reform party and 23% are registered with the Green party. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be Green party?
If you were charged $8.00 to play this game, you would on average see a ..... (lose/gain) of ...... per spin.
Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.
Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares…
You are using cash to pay a $20 parking ticket. In your wallet you have one $5-dollar bill, three $10-dollar bills, and two $20 dollar bills, and you draw out one bill at a time at random until you have at least $20. If you keep track of each bill as you draw it out of the wallet, how many different ways are there for you to get at least $20?
A report described teens' attitudes about traditional media, such as TV, movies, and newspapers. In a representative sample of American teenage girls, 42% said newspapers were boring. In a representative sample of American teenage boys, 45% said newspapers were boring. Sample sizes were not given in the report. A button hyperlink to the SALT program that reads: Use SALT. (a) Suppose that the percentages reported had been based on a sample of 50 girls and 40 boys. Is there convincing evidence that the proportion of those who think that newspapers are boring is different for teenage girls and boys? Carry out a hypothesis test using ? = 0.05. (Use pgirls − pboys.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Reject H0. We do not have convincing evidence that the proportion of girls who say that newspapers are boring is different from the proportion of boys who…

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