ASSIGNMENT: STATISTICS FOR BUSINESS 1. Obtain a 3-point moving average for the following data 23,24,25,25,22,45,29,25,30,29,31,35. suppose data were collected from a sample of 10 Pizza restaurants located near college campuses. For the ith observation or restaurant in the sample, x, is the size of the student population (in hundreds) and y, is the quarterly sales (in thousand of shillings) Restaurant 1 2 3 4 5 6 7 8 9 10 Student(100s) 2 6 8 8 12 16 20 20 22 26 Sales 58 105 88 118 117 137 157 169 149 202 Kshs.1000s) Estimate the regression equation for the quarterly sales and the student population. 3. More than 50 thousand guests stay at bed and breakfasts (B&:Bs) each year. The website for the Bed and Breakfast Inns , which averages seven visitors per minute, enables many B&Bs to attract guests. Compute the probability of no website visitors in a one-minute period. b. Compute the probability of two or more website visitors in a one-minute period. 4. A random variable is normally distributed with a mean of p. =50 and a standard deviation of o =5. a. What is the probability the random variable will assume a value between 45 and 55? b. What is the probability the random variable will assume a value between 40 and 60?1 5. The following table provides data on the number of teachers according to the time devoted to public activities by rank. Time Rank devoted Professors Lecturers Tutors A good deal 25 13 9 Some time 53 53 49 None 12 34 43 6. Test the hypothesis that the time devoted to public activities is independent of the rank. Use 5% level of significance