Question#1 In a business study involving 100 firms, the number of employees per firm was recorded for each firm. What is the variable of interest in this study and how many observations are in the data set? By choosing a recent article related to a large US company, discuss the employment trends in that company. Is the company increasing employment or not as a result of the current economic conditions? Calculate the standard deviation for the data set provided in the 1st question. Describe the formula used and interpret the data. 2(b) Which of the following variables are qualitative variables? a) The color of IPhones sold by Apple b) The length of time required to solve a statistical problem c) The rating to a customer service call in a random survey is: poor, good or excellent. 1a. The following data has been recorded on the number of employees for 6 small firms: 12, 23, 23, 27, 34, 44. Calculate the mean, mode and range of the data. Provide the names of 1-2 leading statisticians that are related to the concepts described in this module. Are the names you found the same as other student’s picks? 1b. Provide a reason why the mean, mode, or range matters in real world application. The probability that a machine does not produce a defective object during a particular shift is 0.85. What is the complement of the event that a machine does not produce a defective item during that particular shift and what is the probability of that complementary event? 2a. Suppose to throw a dice, then calculate the probability that the number 5 appears on the face of the dice. Who was one of the first statisticians in the history that used these experiments to develop other mathematical concepts? Compare your answers with other student’s answers. 2b. Provide a real world example of when probability is necessary to use. Define and discuss the Socratic Method of inquiry and explain how Plato and Aristotle built on this model to form their own theories. define the concept of logical inquiry. How does this form of thought differ from the Socratic Method? Discuss generally what characteristics distinguish the Medieval era philosophers and their theories—were there common themes among them? What distinguishes this era from the Ancient schools of thought?