A television commerical claims that 1 out of 5 of "today's marriages" began as an online relationship. Assuming that this is true, calculate the following for eight randomly selected "today's marriages" A. the probability that at least one began onlineB, the probability that 2 or 3 began onlineC. What is the probability that exactly one began online?

You will submit one Word document for this activity. You will create this Word document by cutting and pasting SPSS output into Word. This assignment consists of two parts. In the first part, you will utilize an existing dataset to analyze the dataset from repeated-measures experimental design. All SPSS output should be pasted into your Word document. In the second part, you will be asked to create a dataset for a hypothetical repeated-measures experimental design. Finally, you will answer questions about your hypothetical dataset.Part A. SPSS AssignmentThe “Activity 6.sav” file contains a dataset of a high school teacher interested in determining whether his students’ test scores increase over the course of a 12 week period. In the dataset, you will find the following variables:Participant: unique identifierGender: Male (M) or Female (F)Score_0 – score on the initial course pre-test (first day of class) Score_2 – score at the end of week 2Score_4 – score at the end of week 4Score_6 – score at the end of week 6Score_8 – score at the end of week 8Score_10 – score at the end of week 10Score_12 – score at the end of the course (week 12)To complete this Activity 1. Exploratory Data Analysis.a. Perform exploratory data analysis on the relevant variables in the dataset. When possible, include appropriate graphs to help illustrate the dataset.b. Compose a one to two paragraph write up of the data.c. Create an APA style table that presents descriptive statistics for the sample.2. Repeated-Measures ANOVA. Perform a repeated-measures ANOVA using the “Activity 6.sav” data set. You will use Score_0 through Score_12 as your repeated measure (7 levels), and gender as a fixed factor.a. Is the assumption of sphericity violated? How can you tell? What does this mean in the context of interpreting the results?b. Is there a main effect of gender? If so, explain the effect. Use post hoc tests when necessary or explain why they are not required in this specific case.c. Is there a main effect time (i.e., an increase in scores from Week 0 to Week 12)? If so, explain the effect. Use post hoc tests when necessary or explain why they are not required in this specific case. Examine the output carefully and give as much detail as possible in your findings.d. Write up the results in APA style and interpret them. Be sure that you discuss both main effects and the presence/absence of an interaction between the two.Part B. Applying Analytical Strategies to an Area of Research Interest3. Briefly restate your research area of interest.a. Identify at least 2 variables for which you would utilize a repeated-measures ANOVA in your analysis. Describe the variables and their scale of measurement. Identify whether each factor is fixed or repeating. Where on the SPSS output would you look to find out if you violated the assumption of sphericity? If the data did violate this assumption, what would the impact be on your analysis? here is the data fileActivity 6.sav

This unit covered project management techniques. Select a possible project management situation from your work or school experience and develop a project plan with at least five activities and with at least one predecessor activity. Create an activity network for your project. From your activity network, determine the critical path and identify any slack within your project. As you develop your project network be sure to think critically about each activity and use your best estimate of the time for the activity. How has the process of developing a project plan impacted how you might manage projects in the future?