Question

A quality engineer analyzed the paint job on the Lexus IS350 model at the Toyota plant in Woodstock. 250 cars were analyzed. The drying time (in hours) and colour of paint was recorded. dentify the variable(s) in the study, (ii) explain the type of data for each variable in the study (e.g., categorical and ordinal, continuous or discrete, etc.), (ii) identify the observational unit, and (iv) determine the sample size 1. For a list of positive numbers, is it possible for the standard deviation to be greater than the mean? If so, give an example. If not, explain why not. 2. Following is a list of the number of hazardous waste sites in each of the 50 states of the United States as of April 1995. The data are taken from The World Almanac and Book of Facts 1996 (World Almanac Books, Mahwah, NJ 1996). The list has been sorted into numerical order 3. 10 13 19 38 10 13 20 39 10 12 17 29 81 12 12 19 37 102 107 12 14 15 16 24 58 17 18 23 25 30 96 a) Draw a stem and leaf plot of this data using leaf unit-1, with two leaf categories per stem. Also find the increment. Find the sample mean, sample standard deviation and sample median of the number of hazardous waste sites in each of the 50 states. (You can use your calculator to get x and x, but show your work in all your calculations) What proportion of hazardous waste sites is more than one standard deviation greater than the mean? Construct a frequency table and display it as a histogram using a class width of 10. [Recall: LCB is included in the class interval whereas UCB is not included.] Your first class should be [0, 10) What proportion of the 50 states has between 40 and 80 hazardous waste sites? How would you describe the shape of the histogram? (right skewed, left skewed, normal or inconclusive) Construct a boxplot for these data. Does the boxplot show any outliers? If so, state them. b) c) d) e) f) g) 4 of all failures of a certain type of computer hard drive, it is determined that in 20% of them only the sector containing the file allocation table is damaged, in 70% of them only nonessential sectors are damaged, and in 10% of the cases both the allocation sector and one or more nonessential sectors are damaged. A failed drive is selected at random and examined (a) (b) (c) What is the probability that the allocation sector is damaged? What is the probability that a nonessential sector is damaged? If the drive is found to have a damaged allocation sector, what is the probability that some nonessential sectors are damaged as well? (d) If the drive is found to have a damaged nonessential sector, what is the probability that the allocation sector (e) If the drive is found to have a damaged allocation sector, what is the probability that no nonessential sectors (f)If the drive is found to have a damaged nonessential sector, what is the probability that the allocation sector is damaged as well? are damaged? is not damaged?

Answer 1