Part A. Dependent t testIn this assignment, we are interested in finding out whether participation in a creative writing course results in increased scores of a creativity assessment. For this part of the assignment, you will be using the data file “Activity 8a.sav”. In this file, “Participant” is the numeric student identifier, “CreativityPre” contains creativity pre-test scores, and “CreativityPost” contains creativity post-test scores. A total of 40 students completed the pre-test, took the creativity course, and then took the post-test.Exploratory Data Analysis/Hypotheses.Perform exploratory data analysis on CreativityPre and CreativityPost. Using SPSS, calculate the mean and standard deviation of these two variables.Construct an appropriate chart/graph that displays the relevant information for these two variables.Write the null and alternative hypotheses used to test the question above (e.g., whether participation in the course affects writing scores).Comparison of MeansPerform a dependent t test to assess your hypotheses above (note that many versions of SPSS use the term “paired samples t test” rather than dependent t test; the test itself is the same.Write one or two paragraphs that describe the dataset, gives your hypothesis, and presents the results of the dependent sample t test. Be sure that your writing conforms to APA style.Part B. Independent t testIn this assignment, we will start with the data file used in Part A (“Activity 6a.sav”). Suppose, however, you [the researcher] encountered a small problem during data collection: after the post-tests were collected, you realized that the post-test form did not ask for the students’ identification number. As such, it will be impossible to match pre-test scores to post-test scores. Rather than simply give up, you start thinking about the data you do have, and try to determine whether you can salvage your project. In assessing the situation, you realize that you have 40 pre-test scores and 40 post-test scores, but no way to link them. While it will result in a weaker comparison, you determine that you are still able to compare pre-test vs. post-test scores; you will use a between-subjects design rather than a within-subjects design.Create the data set.Using the “Activity 8a.sav” file as a starting point, create a new dataset that you can use with the between subjects design. Hint: you will no longer need the variables CreativePre and CreativeTest. Instead, you have only one variable for the score on the creativity test. A second (or grouping) variable will serve to indicate which test the student took.Submit the dataset as one of the week’s files. Name the file in the following format: lastnamefirstinitialPSY7107-8b.sav (example: smithbPSY7107-8b.sav).Exploratory Data Analysis/Hypotheses.Comparison of MeansPerform an independent t test to assess your hypotheses above (note that many versions of SPSS use the term “independent samples t test” rather than simply “independent t test”.Write one or two paragraphs that describe the dataset, gives your hypothesis, and presents the results of the dependent sample t test. Be sure that your writing conforms to APA style.Comparison of DesignsIn this assignment, you used the same dataset to analyze both a between- and within-subjects design. Create a single paragraph (using the material you wrote above), that presents both sets of results.Explain, in 300-500 words, whether the two tests resulted in the same findings. Did you expect this to be the case? Why or why not? What have you learned in this assignment?Part C. ANOVAAll of us have had our blood pressure measured while at our physician’s office. How accurate are these measurements? It may surprise you to learn that there is something called “white coat syndrome”—the tendency of some people to exhibit elevated blood pressure in clinical (medical) settings only. In other words, for these people the very fact that the physician is taking their blood pressure causes it to increase (for more information about white coat syndrome see http://www.webmd.com/anxiety-panic/features/beyond-white-coat-syndrome ). In this assignment, you will be using the “Activity 8c.sav” data file to determine whether you find support for the existence of white coat syndrome. In this study, 60 participants were randomly assigned to one of three groups. The “settings” variable indicates the location in which the participants’ blood pressure was recorded: 1=home, 2=in a doctor’s office, and 3=in a classroom setting. The “SystolicBP” variable contains the participants’ systolic pressure (the “upper” number). The “DiastolicBP” variable contains the participant’s diastolic pressure (the “lower” number).Exploratory Data Analysis/Hypotheses.Perform exploratory data analysis on both the SystolicBP and DiastolicBP variables. Using SPSS, calculate the mean and standard deviation of these two variables. Be sure that your analysis is broken down by setting (e.g., you will have six means, six SD’s, etc.).Create two graphs—one for systolic and one for diastolic pressure. Each graph should clearly delineate the three groups.Write a null and alternative hypothesis for the comparison of the three groups (note that your hypothesis will state that the three groups are equivalent; be sure to word your null hypothesis correctly).ANOVA.Using the “Activity 8c.sav” data file, perform two single factor ANOVAs: one using SystolicBP and one using DiastolicBP as the dependent variable.If appropriate for either or both of the ANOVAs, perform post hoc analyses to determine which groups actually differ.Write one paragraph for each ANOVA (be sure to use APA style). At a minimum, each paragraph should contain the three means, three SD’s, ANOVA results (F, df), post hoc tests (if applicable), effect size, and an interpretation of these results.Save and name your Word document in the following format: lastnamefirstinitialPSY7107-8.docYou should now have the following files:lastnamefirstinitialPSY7107-8b.sav (example: smithbPSY7107-8b.sav)lastnamefirstinitialPSY7107-8.doc

Answer each question below. Use SPSS as needed, and include the software outputs as part of the Word document you submit. What is a Q-Q plot?Given a set of realized values of a random variable, how can a Q-Q plot be used to assess the distribution of the random variable?Using histograms and Q-Q plots (except for binomial), match each random variable to one of the following distributions: Binomial (with N=1, P=0.7), Chi-square (with d.f.=20), Exponential, Lognormal, Normal, and Uniform.

1. (4 pts) Which of these graphs of relations describe y as a function of x? That is, which are graphs of functions? Answer(s): ____________ (no explanation required.) (There may be more than one graph which represents a function.) (A) (B) (C) (D) 2. (10 pts) Consider the points (5, 6) and (–1, –10). (a) State the midpoint of the line segment with the given endpoints. (No work required) (b) If the point you found in (a) is the center of a circle, and the other two points are points on the circle, find the length of the radius of the circle. (That is, find the distance between the center point and a point on the circle.) Find the exact answer and simplify as much as possible. Show work. 3. (12 pts) Consider the following graph of y = f (x). (no explanations required) (a) State the x-intercept(s). (b) State the y-intercept(s). (c) State the domain. (d) State the range. 4. (8 pts) Let 𝑓𝑥 = ! ! ! !! !! (a) Calculate 𝑓−2. (work optional) (b) State the domain of the function 𝑓𝑥 = ! ! ! !! !! (c) Find 𝑓𝑎+7 and simplify as much as possible. Show work. 5. (7 pts) f is a function that takes a real number x and performs these four steps in the order given: (1) Multiply by −1. (2) Add 2. (3) Take the square root. (4) Take the reciprocal. (That is, make the quantity the denominator of a fraction with numerator 1.) (a) Find an expression for f (x). (no explanation required) (b) State the domain of f. (no explanation required) 6. (6 pts) Given 𝑓𝑥=𝑥−5 and 𝑔𝑥=𝑥+7, which of the following is the domain of the quotient function g f / ? Explain. 6._______ A. −7,∞ B. −∞,−7 ∪ −7,5 ∪ 5,∞ C. −7,5 ∪ 5,∞ D. −∞,−7∪−7,∞ 7. (6 pts) For income x (in dollars), a particular state's income tax T (in dollars) is given by 𝑇𝑥= 0.028𝑥 𝑖𝑓 0 ≤𝑥≤2,500 70+0.035(𝑥−2500) 𝑖𝑓 2,500<𝑥≤7,500 245+0.050(𝑥−7,500) 𝑖𝑓 𝑥>7,500 (a) What is the tax on an income of $5,300? Show some work. (b) What is the tax on an income of $73,000? Show some work. 8. (20 pts) Let y = 4 − 4x2. (a) Find the x-intercept(s) of the graph of the equation, if any exist. (work optional) (b) Find the y-intercept(s) of the graph of the equation, if any exist. (work optional) (c) Create a table of sample points on the graph of the equation (include at least six points), and create a graph of the equation. (You may use the grid shown below, hand-draw and scan, or you may use the free Desmos graphing calculator described under Course Resource to generate a graph, save as a jpg and attach.) (d) Is the graph symmetric with respect to the y-axis? _____ (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook. (e) Is the graph symmetric with respect to the x-axis? _____ (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook. (f) Is the graph symmetric with respect to the origin? _____ (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1.2 homework in the textbook. x y (x, y) 9. (12 pts) Let f (x) = 2x2 + 4x – 8 and g(x) = 1 – 3x. (a) Evaluate the function g – f for x = –3. That is, find (g – f)(–3). Show work. (b) Evaluate the function fg for x = –3. That is, find (f g)( –3). Show work. (c) Find the difference function (f – g)(x) and simplify the results. Show work. 10. (15 pts) (See textbook page 82 for definitions of the economic functions used in this problem.) The cost, in dollars, for a company to produce x widgets is given by C(x) = 5250 + 5.00x for x ≥ 0, and the price-demand function, in dollars per widget, is p(x) = 45 − 0.02x for 0 ≤ x ≤ 2250. (a) Find and interpret C(300). (b) Find and interpret 𝐶(300). (Note that 𝐶(x) is the average cost function.) (c) Find and simplify the expression for the revenue function R(x). (work optional) (d) Find and simplify the expression for the profit function P(x). (work optional) Note that p(x) and P(x) are different functions. (e) Find and interpret P(300), where P(x) is the profit function in part (d).