Show the solution and explain the following questions:
II. Em Rainfall Total Se-tember mm Thiessen Pol -on Area ha 2190 n 1731 -_ _ a. 1747 mm b. 1774mm c. 17470 mm c. 17740 mm The total rainfall for the month of May was 600mm as measured by a USWB standard rain gauge (8 inches in diameter). Determine the average daily rainfall for the month. a. 20.0 cm b. 20.0 mm c. 19.4 cm d. 19.4 mm In which of the following can statistics in the singular sense be important/useful? Determining the proportion of defective light bulbs produced by a machine Noting the day that February 29 will fall next year A. I only B. II only C. Both I and II D. NeitherI nor II Answer: C In which of the following situations was (were) inferential statistics used? I. Data on height and weight of preschoolers were obtained and summarized through stem plots. II. A random sample of preschoolers was taken from all the incoming preschoolers from School ABC, and their height (in centimeters) was observed to estimate the true mean height of preschoolers in School ABC. A. I only B. 11 only C. Both I and II D. NeitherI nor 11 Answer: B A hotel has 120 guests registered for a certain weekend of which 100 are aged 18-45 years. The management wishes to interview 25 guests belonging to this age bracket regarding their ratings on the quality of the hotel's service (1 Very Satisfactory, 2 Satisfactory, 3 Undecided, 4 Unsatisfactory, 5 Very Unsatisfactory). a) What is the universe of the study? > hotel guests aged 18-45 years old, and are registered for a certain weekend b) What is the population of interest in the study? > the set of all service quality ratings: \"1\> service quality ratings d) What is the level of measurement of the variable of interest? > ordinal Below is a summary of the recorded measurements on traffic noise (in decibels), in 30 major intersections in Metro Manila: Measurements 52 54 55 56 57 59 60 61 65 68 70 Frequency 2 3 3 4 2 2 2 4 3 3 2 e) Find the mean, median and mode. > H = 59.6667 Md = 59 Mo = 56, 61 f) Find the range, variance, standard deviation and CV. > R = 18 62 = 28.7556 0 = 5.3624 CV = x100 = 5.3624 X100 = 8.99% 59.6667 g) Find the measure of skewness and interpret its value. > SK = 3(M-Md) 3(59.6667 -59) = 0.3730 5.3624 Interpretation: The data is positively skewed, that is, there are few extremely high values of measurements on traffic noise h) Find the 25th percentile, 3'd quartile and 8th decile. > 25th percentile > 3'd quartile > 8th decile k = 30 (25) ! =7.5 K = _ 30 (3) = 22.5 30 (8) k = - = 24 100 4 10 P25 = 55 Q3 = 65 D8 = 65 METHODS OF COUNTING: 1. In how many ways can a ten-item True or False quiz be answered? > 210 = 1024 2. Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be seated: a) with no restrictions? 3P8 = 8! = 40320
