Question

I Part b) (3 marks) The time between trains on a rail line at a specific level crossing is well approximated by an exponential distribution with a mean of 1.2 hours between trains. I spend two hours at a picnic site overlooking the level crossing. When I arrive, it has been 1 hour since the last train went by. I count trains as they cross. What is the probability I will have counted at least three trains before I leave? I Part c) (3 marks) An analysis of variance is to be done to investigate the performance of four different brands of spark plugs intended for use on a 125-cc two-stroke motorcycle. Five plugs of each brand were tested for the distance in miles until failure. The partially-completed ANOVA table is below. Fill in the missing entries, state the relevant hypotheses, and calculate the value of the test statistic. If the relevant critical value is 3.24, what do you conclude? Say what would be your next step would be IF the null hypothesis were to be rejected (regardless of whether or not this is what you concluded). DO NOT actually carry out the next step you indicate Sum of Squares Mean Square Source Brand Error Total df 14713.69 310500.76

Answer 1