Use the given categorical data to construct the relative frequency distribution. Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week​ (in the order of Monday through​Sunday) with the frequencies 54​, 63​, 68​, 59​, 58​, 44​, 54. Does it appear that such births occur on the days of the week with equal​ frequency?

The following data contains days when road rage occurred according to a study. The goal of the study is to determine when road rage occurs most often. M, Sa, F, Tu, Su, F, Tu, W, F, F, F, M, F, Th, F, W, Th, Sa, F, W, Tu, Th, F, F, W, Th, M, Th, F, M, Sa, Tu, F, Tu, F, F, Su, W, Th, M, F, F, F, Su, F, M, Tu Find the mode of the above data. Mode =

More than one teacher has given the following advice: choose answer C when blindly guessing among four answers in a multiple choice test, since C is more often the correct answer than either A, B, or D. Suppose that we take a random sample of 600 multiple-choice test answers (the correct answers from the instructor's answer sheet) from introductory college courses and obtain the information summarized by the first row of numbers in the table below. These numbers are the observed frequencies for the categories A, B, C, and D for our sample of 600 correct answers. The second row of numbers contains the frequencies expected for a sample of 600 correct answers if a correct answer is equally likely to be A, B, C, or D. The bottom row of numbers contains the following value for each of the correct answer categories A, B, C, and D.   −fOfE2   fE =   −Observed frequencyExpected frequency2   Expected frequency

The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy   Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…