Question For each scenario listed below, determine whether the scenario represents an Independent Samples or Dependent Samples (Matched Pairs) situation by placing the appropriate letter in the box provided. a. Comparing the daily high temperatures in Los Angeles and San Diego for each day of the summer: Matched Pairs Independent Samples b. Comparing the number of times 50 students in California and 50 Students in Texas ate out in restaurants last year: Matched Pairs Independent Samples c. Comparing revenue at a bike shop in March and in September: Matched Pairs Independent Samples WWW WWWWWWWWWWWW d. Comparing the calories consumed by 50 people for breakfast and for dinner: Matched Pairs Independent Samples

2. ( 28 points) New York City recently tested a program called Paycheck Plus, which gives up to \( \$ 2,000 \) per year to certain workers making under \( \$ 30,000 \) per year. Because the benefit is only available to workers, it should increase employment rates, but because the benefit is "phased out" at higher levels of earnings, it could decrease hours 2. ( 28 points) New York City recently tested a program called Paycheck Plus, which gives up to \( \$ 2,000 \) per year to certain workers making under \( \$ 30,000 \) per year. Because the benefit is only available to workers, it should increase employment rates, but because the benefit is "phased out" at higher levels of earnings, it could decrease hours worked. You are interested in testing whether the program affected earnings, on average, for people who were eligible for it. For a random sample of 110 eligible people, you collect data on earnings for the year before implementation of Paycheck Plus and for the year after the program began, and for each person \( i \) you compute \( x_{i} \), the change in earnings between the two years. You find that the sample mean change is \( \$ 860 \) with a sample standard deviation of \( \$ 2,320 \). Use a significance level of \( \alpha=0.01 \) for your hypothesis test. 2.1. What is the correct null hypothesis for this test? 1 (a) \( H_{0}: \bar{x}=0 \) (b) \( H_{0}: \bar{x}=860 \) (c) \( H_{0}: \bar{x}=2,000 \) (d) \( H_{0}: \bar{x}=30,000 \) (e) \( H_{0}: \mu=0 \) (f) \( H_{0}: \mu=860 \) (g) \( H_{0}: \mu=2,000 \) (h) \( H_{0}: \mu=30,000 \) 2.2. What is the test statistic? 2.3. What is the critical value for this test? 2.4. Should you reject the null hypothesis? 2.5. What is the largest value of the sample mean earnings change, \( \bar{x} \), for which you would not reject the null hypothesis? 2.6. The final two parts of the question are intended to illustrate how the probability of a Type II error depends on the true value of the parameter of interest. Assuming that the mean effect of the program on earnings is \( \mu=\$ 100 \) and the standard deviation of the change in earnings is \( \sigma=\$ 2,400 \), what is the probability of a Type II error in this case? 2.7. What is the probability of a Type II error if \( \mu=\$ 1,000 \) ? Continue to assume that \( \sigma= \) \( \$ 2,400 \).

Question 2 1 pts As a step toward creating a Slope Field graph, complete the table of slope values. Values of y'(t) dy = -0.5y (y – 4) y dt -1 -2.5 0 0 1 1.5 2 2 3 1.5 0 4 5 -2.5 -6 6 Question 3 1 pts dy Figure 7.2.10 in Active Calculus is a plot of dt versus y. 3 2+ 11 y -1 5 6 -1 -2- This is different from a Slope Field. A Slope Field is a plot of the unknown function y versus independent variable t, created by first sketching tangent lines. In the plot of any versus y, we simply plot values of hy shown in the table above, for each value of y (the horizontal axis). Based upon the table you completed in the previous question, which of the following is the correct plot of my versus y? O - N 《 LA 小亦 -

Question 23 Using language, write code below that does the following: SUMMATION Continuously prompt the user for integer input. Add the value entered to a growing sum Stop prompting for input when the user enters - 1

I am stuck on how to do partsF and G here. Thanks so much in advance for any helphere! e. In the boxes below, draw the initial momentum, the change in momentum, and the final momentum for each astronaut in the three experiments. The initial momentum is shown for astronaut A. Draw the other vectors using the same scale. MOOD Initial Sit to be Change bar Final > Astronaut A Expt. 1 20 20 LU 1 Astronaut B Expt. 1 Astronaut A Expt. 2 Astronaut B Expt. 2 25 23 BOSTE Astronaut A Expt. 3 20 15 Astronaut B TH Expt. 3 The following questions: f. Generalize from your results above to answer the following questions: ano ang sist so If the net force on a system of two colliding objects is zero, how does the change in momentum of one object compare to the change in momentum of the other object: • in magnitude? 2.DE color . in direction? g. Explain how your answers to part f are consistent with Newton's third law and the impulse- momentum theorem ( ĒDe N = - Ap) for: Bhes • each astronaut considered separately, and do o bottom holds . for the system of both astronauts together. iboto

2. For what values of p #1 is the series below convergent? (Note: the case considered in problem 1 of this worksheet.) ergent? (Note: the case for p = 1 is already n (1+ n2)

wheadon, dabis and singer formed a partnership with waradon contributing 60000, favis/nezto.mheducation.com/ext/map/index.html?con=contexternal browser=&launchUrl=https%253A%252F%252Fnewconnectmheducation contre Ch 12, 13, 14 sound Help Save & Exit Wheadon, Davis, and Singer formed a partnership with Wheadon contributing $60,000, Davis contributing $50,000 and Singer contributing $40,000 Their partnership agreement called for the income (loss) division to be based on the ratio of capital investments. If the partnership had income of $75,000 for its first year of operation, what amount of income rounded to the nearest thousand) would be credited to Singer's capital account? Multiple Choice $20.000 $25,000 $30,000 $40,000 $75,000 O H: 8 of 50 Prey Next > W 76 BI rch