Question

The average number of accidents at controlled intersections per year is 4.7. Is this average less for intersections with cameras installed? The 58 randomly observed intersections with cameras installed had an average of 4.4 accidents per year and the standard deviation was 1.22. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean o b. The null and alternative hypotheses would be: H: ? H: ?D ? c. The test statistic ? D (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? Da f. Based on this, we should select an answer the null hypothesis.

Answer 1

Given - n = 58 6-1.22 o=001 a t-test for a population mean. 6 Ho: us ti: M = 4.7 M> 4.7 © Test Statistic... toute X-Mo 4-4-4.7 122 -0.3 6 1601 E57 =-1-8738 t57 -1-8741 & P-value = P( 157 <-1-874) = P( ts77 1.874) - (By using Statistical IP-value = 0.0307) table) Pra, reject Ho. 0.030720.0L Accept Ho We should accept the null hypothesis. less than 4.7 at x = 0.01 so there @ @ The data suggest that the population mean is not significantly less than 9.7 at &=0.01 is statistically insignificant evidence to concluded that the population mean number of acciden Year at intersections with cameras inst number of accidents per with cameras installed is less than 4.7 accidents."

(5 o of the population mean number of accidents per year at intersections with Cameras installed is 4.7 and if another 58 intersections with cameras installed are observed then there would be a 3-31187011). chance that the population mean number of accidents per year at intersections with cameras installed would be less than 4.7. 6 If the population meer number of accidents per year at intersections with cameras installed is less than 4 7 and if another 58 intersections with Cameras installed are observed then there would be a 1 % chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 4.7. Thank you. If you satisfied then like me.