Q.3 (a) A car manufacturer claims that their new styrofoam hood ornament gives better front-end crash protection to their new model than is provided by a similar model manufactured by its main competitor. To test their claim they crashed seven of their cars and six of the competing model and calculated the cost of repairs for each vehicle. The resulting data is given below. New Model Competitor's model 650 550 900 700 720 1250 1000 900 830 1200 1100 980 540 Perform an appropriate hypothesis test at the 5% significance level to determine if there is significant evidence to support the company's claim. (10 marks) (b) Six students from each year of a mechanical engineering course were surveyed and asked how many hours study they each did over one particular weekend. The data is presented below. Mechanical 1 Mechanical 2 Mechanical 3 Mechanical 4 4 6 7 2 7 1 5 2 WA cho 3 4 3 4 5 3 5 2 6 Apply an appropriate hypothesis test at the 5% significance level to determine if there is a significant difference in the mean number of hours students from the various classes spend in study. [10 marks] [20/60 marks] Q.3 (a) A car manufacturer claims that their new styrofoam hood ornament gives better front-end crash protection to their new model than is provided by a similar model manufactured by its main competitor. To test their claim they crashed seven of their cars and six of the competing model and calculated the cost of repairs for each vehicle. The resulting data is given below. New Model Competitor's model 650 550 900 700 720 1250 1000 900 830 1200 1100 980 540 Perform an appropriate hypothesis test at the 5% significance level to determine if there is significant evidence to support the company's claim. (10 marks) (b) Six students from each year of a mechanical engineering course were surveyed and asked how many hours study they each did over one particular weekend. The data is presented below. Mechanical 1 Mechanical 2 Mechanical 3 Mechanical 4 4 6 7 2 7 1 5 2 WA cho 3 4 3 4 5 3 5 2 6 Apply an appropriate hypothesis test at the 5% significance level to determine if there is a significant difference in the mean number of hours students from the various classes spend in study. [10 marks] [20/60 marks]