You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $9; if the faces are both heads, you win $8; if the coins do not match (one shows a head, the othera tail), you lose $4 (win (-$4)).Calculate the mean and variance of Y, your winnings on a single play of the game. Note that E(Y) > 0.E(Y) = $XXV(Y) =How much should you pay to play this game if your net winnings, the difference between the payoff and cost of playing, are to have mean 0?$X

Let be the winnings price on a single play of the game.If both coins show tails, he wins .If both…

Answered: You and a friend play a game where you…

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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The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040 Indicate if any of the independent variables could be eliminated at the
A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260. If a tax of 20% is introduced on all items associated with the maintenance and repair of cars, and an additional attorney fee of 35 is charged for filing the tax, what will be the total average annual cost of maintaining and repairing a car? 240 275 312 374 235
A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.
Can a person train to become better at holding their breath? An experiment was designed to find out. Twelve volunteers were randomly assigned to 1 of 2 groups. The 6 volunteers assigned to group 1 were given breath-holding exercises to perform for 2 weeks. The other group was not given any information about the experiment. At the end of the 2 weeks, all 12 volunteers were individually tested to determine how long they could hold their breath. Here are the data (in seconds). Group 1: 90, 88, 70, 110, 75, 105 Group 2: 40, 48, 35, 50, 55, 62 The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than volunteers without training. Let ₁ = the true mean amount of time that volunteers who were given training held their breath and ₂ = the true mean amount of time that volunteers without training held their breath. What are the appropriate hypotheses? Ho: U1 - U2 = 0, Ha:…
Suppose you are interested in seeing whether the total number of days students are absent from high school correlates with their grades. You obtain school records that list the total absences and average grades (on a percentage scale) for 80 graduating seniors. You decide to use the computational formula to calculate the Pearson correlation between the total number of absences and average grades. To do so, you call the total number of absences X and the average grades Y. Then, you add up your data values (ZX and EY), add up the squares of your data values (EX² and ΣY²), and add up the products of your data values (ΣXY). The following table summarizes your results: ΣΧ 380 ΣΥ 5,820 ⠀ ΣΧ2 2,708 ΣΥ2 440,838 ΣΧΥ 26,709 The sum of squares for the total number of absences is SSx = The sum of squares for average grades is SSy = The sum of products for the total number of absences and average grades is SP = The Pearson correlation coefficient is r = Suppose you want to predict average grades…
Part A. Depression affects many people. 25 out of 100 people with untreated depression will lose at least one friendship while not receiving treatment. On the other hand, when people with depression are treated with medication and counseling, only 2 out of 100 will lose at least one friendship during treatment. The absolute risk of losing at least one friendship while dealing with untreated depression is Answer: Blank / blank= blank = blank %
A random sample of 136 adults were asked to report the number of hours per week the spent on a computer and their number of years of education. The linear model equation below describes the relationship between the mean computers hours and years of education. computers == 9.12 ++ 0.8 ×× education Based on this linear model, which of the following statements is correct? a) An adult who has no years of education is expected to spend 9.12 hours per week on a computer. b) An adult who has 1 more year of education than another is expected to spend 9.12 more hours per week on a computer. c) An adult who spends 1 more hour per week on a computer than another is expected to have had 9.12 more years of education. d) An adult who spend zero hours per week on a computer is expected to have 9.12 years of education.
Suppose we measure the heights (in inches) and weights (in pounds) of 100 randomly chosen college students. Furthermore suppose we calculate the correlation to be 0.6. If we change the measurements to centimeters and kilograms, what happens to the value of the correlation? Note: There are 2.54 centimeters in an inch, and there are 2.2 pounds in a kilogram. Group of answer choices: A. The correlation increases by a factor of 2.54/2.2 B. The correlation is still 0.6. C. The correlation decreases by a factor of 2.2. D. The correlation increases by a factor of 2.54.
Scenario: Album Sales: A study was done to see whether getting radio airtime and spending money on advertisements accurately predicts the number of album copies sold. A random sample of 200 artists’ albums were tracked on the number of times their songs play on the central radio station, how much money (in thousands) they spent on advertisements, as well as the number (in thousands) of album copies were sold. A record company wanted to determine if there was a positive relationship between album sales and the other two variables (money spent on advertisements and number of albums sold) What is the Null and alternative hypotheses (based on context of study) in symbols and words:
Doctors are testing a new antidepressant. A group of patients, all with similar characteristics, take part in the study. Some of the patients receive the new drug, while others receive the traditional drug. The data are shown in the contingency table below. What is the relative risk of insomnia for those who receive the new drug? Round to two decimal places. Insomnia New drug- 52. No insomnia-226—total=278 Traditional drug-36. 295—331(total) Total- 88. 521. ( no insomnia)—— total-609
A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the previous year. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1.
In an experiment, the purpose for manipulating the independent variable is to help? A. Establish the direction of the relationship by showing that the dependent variable changes when you manipulate the independent variable B. Ensure that any effects of selection or other randomization failures are minimized C. Establish the direction of the relationship and help eliminate the third variable problem D. Eliminate the third variable problem because you decide when to manipulate rather than waiting for the variable to change

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