Statistics Question Are The Fatal Accidents Related To The Day Of The Week If Not Why If Yes In What Manner 1 (85.11 KiB) Viewed 32 times
QUESTION
Are the fatal accidents related to the day of the week?
If not, why? If yes, in what manner?
Statistics Question Are The Fatal Accidents Related To The Day Of The Week If Not Why If Yes In What Manner 2 (47.54 KiB) Viewed 32 times
Question 1 Motor vehicle accidents are classified into three mutually exclusive and collectively exhaustive categories, in increasing order of seriousness: 1. Property damage only (Pr): accidents resulting in property damage, but not in injuries or deaths: 2. Non-fatal injury only (NF): accidents resulting in the injury of one or more persons and may include property damage, but not in deaths; 3. Fatal (F): accidents resulting in the death of one or more persons and may include injuries and/or property damage. Last year, 204 271 accidents were reported. The following table shows the distribution of the seriousness of the accidents, and the day of the week in which they occurred: Seriousness of accident Fatal Non-fatal Property Day of occurrence (F) (NF) (Pr) Total Sunday (Su) 229 8 945 15944 25 118 Monday (M) 162 8007 17355 25524 Tuesday (Tu) 168 8589 18605 27362 Wednesday (W) 146 8031 16 960 25137 Thursday (Th) 176 9080 19 730 28 986 Friday (Fr) 255 11 422 24 232 35 909 Saturday (Sa) 334 12 278 23 623 36 235 Total 1470 66 352 136 449 204 271 Assume that last year's conditions will also hold in the following years. Note: All probabilities to be calculated to four decimal places.
Question 6 An industrial oven curing sand cores for a factory manufacturing engine blocks can maintain fairly constant temperatures. The temperature range of the oven follows a normal distribution with a mean temperature of 240°C and a standard deviation of 15°C. The factory manager is concerned about the number of defective cores that are produced when the oven gets hotter than 246°C. He would like to restrict the probability of the oven getting hotter than 246°C to 10%. 6.1 Does the manager have reason to be concerned if you look at the probability that the oven will cause a core to be defective? (6) 6.2 Determine the particular temperature of the oven so that only 5% of the oven temperatures will be higher than this temperature. (6)
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