Answer the following

Question 1 PETROGAS is testing new filters for its motorbikes. One brand of filter (Filter A) is placed in one motorbike, and the other brand (Filter B) is placed in the second motorbike. Random samples of air released from the motorbikes are taken at different times throughout the day. Pollutant concentrations are measured for both motorbikes at the same time. The following data represent the pollutant concentrations (in parts per million) for samples taken at 20 different times after passing through the filters. Time Filter A Filter B Time 1 Filter A 20 Filter B 19 2 11 17 29 21 23 12 3 29 37 30 20 13 4 28 42 17 35 14 5 43 49 18 20 15 49 6 21 20 49 16 7 43 16 40 49 17 33 8 42 28 15 18 25 9 39 23 18 19 25 10 15 34 37 20 32 19 a. Test the hypothesis that the mean for the pollutant concentration for Filter B is greater than 30. Use the 1% level of significance. [5 marks] b. Construct a 95% confidence interval for the difference in mean pollutant concentration, where a difference is equal to the pollutant concentration passing through Filter A minus the passing through Filter B. [5 marks] c. Using the 5% significance level, determine whether there is evidence that mean for the pollutant concentration for Filter A exceeds Filter B [5 marks] d. Confirm test results in part (c) using JASP. Note: All JASP input files and output tables should be provided [2 marks]