Use Polya’s four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.      The following broken-line graph shows the U.S. and Canada movie theatre box office revenues, in billions of dollars, for the years from 2007 to 2014. Which two years had the least box office revenues? (Enter your answer as a comma-separated list.) Which year had the greatest box office revenue? During which two consecutive years did the box office revenues increase the most? (Enter your answers as a comma-separated list.)

Find the determinant of the matrix 

This has two parts. A) Find the partial fraction decomposition for the expression

Escuchar un párrafo: Lo que hace Erika. First, review the statements below. Then, listen to Erika describe the things that she likes to do in her free time. Based on what you hear, decide whether each statement is Cierto (true) or Falso (false), or No se menciona (not mentioned) (1 pt. each; 6 pts. total)   Cuando tiene tiempo libre, le gusta pasarlo sola. Cuando hace mucho calor, Erika va a la playa con sus amigos. En la playa, Erika y sus amigos juegan voleibol. A Erika le encantan las películas románticas. Cuando van al parque, Erika y sus amigos hacen un pícnic. Erika nunca trabaja los fines de semana.

A study was conducted to determine if there are any differences in the waist size of three groups of men with different exercise habits: daily runners, weekly CrossFit gym-goers, and sedentary office workers. Each group randomly sampled 40 individuals. Each person had their waist size measured (in inches). What is the explanatory variable for this study? What is the response variable for this study? What hypotheses should be tested?H0: Ha: What test statistic is needed for this test? The p-value associated with this test is 0.0086. What decision should be made at the 0.01 level? **You will type your conclusion for this problem in the next question.**

A department director wants to determine whether there is a difference in employee productivity between those who work remotely and those who work in the office. Two groups of employees are tracked over a three-month period: one group works fully remote, and the other works in-office. Productivity is measured using the number of tasks completed per week, and the results are compared between the two groups. Which type of test should be used for this scenario?

Is there a difference in college students’ GPA in the Fall semester compared to the Spring semester? A random sample of 80 college students reported their GPA from the most recent Fall Semester and most recent Spring semester. The 95% confidence interval to estimate the mean difference (Fall – Spring) in college students’ GPA in the Fall and Spring semesters was determined to be (0.0348, 0.9321).  Does this scenario involve matched pairs or two independent samples? Fully interpret the interval in context.With 95% confidence, it is estimated that the for college students in the Fall semester is between and points than in the Spring semester. Does the interval support that the mean GPA for college students during the Fall semester is significantly different than in the Spring semester?

Are there any differences in the BMI of adults in various countries? To investigate this question, adults from the United States, Italy, and India were selected at random. Each person’s BMI was recorded. The data is summarized below. Country n mean standard deviation min max Q1 Q3 U.S. 132 28.727273 2.9515707 21.3 35.6 26.95 30.75 Italy 116 25.293966 1.9932621 21.1 30.3 23.85 26.75 India 146 21.857534 2.3186749 16.6 27.7 20.3 23.4 What is the categorical variable involved in this scenario? What is the quantitative variable involved in this scenario? We wish to conduct a one-way ANOVA test for this scenario. Is the requirement of normally distributed populations satisfied? Is the requirement of equal population standard deviations satisfied? Based on the boxplots, there to be at least one mean that differs significantly from at least one other mean.

Are there any differences in grocery spending for college students based upon where they live? To investigate this question, a random sample of college students were asked where they live (university housing, rental property near campus, or at home) and how much they typically spend on groceries per month. The data is summarize below. Housing Type n mean standard deviation min max Q1 Q3 University Housing 40 121.89025 11.227737 103.04 147.03 112.265 130.785 Rental Property Near Campus 52 215.58808 15.843158 181.21 252.66 204.43 228.31 At Home 32 80.305625 9.3693054 60.36 99.19 73.835 87.11   What is the categorical variable involved in this scenario? What is the quantitative variable involved in this scenario? We wish to conduct a one-way ANOVA test for this scenario. Is the requirement of normally distributed populations satisfied? Is the requirement of equal population standard deviations satisfied? Based on the boxplots, there to be at least one mean that differs significantly from at least one other mean.

A study was conducted to determine if there are any differences in daily water usage among households in various community types (rural, suburban, or urban). 100 households were randomly selected from each community type. Each household reported the typical amount of water used per day (in gallons). What is the explanatory variable for this study? What is the response variable for this study? What hypotheses should be tested?H0: Ha: What test statistic is needed for this test? The p-value associated with this test is 0.0386. What decision should be made at the 0.1 level? **You will type your conclusion for this problem in the next question.**