The times of first sprinkler activation for a series of tests (n = 13) with fire prevention sprinkler systems using an aqueous filmforming were (in sec). 28 42 23 28 24 36 31 34 25 28 29 23 25 Results derived from the data: sample mean = 28.923; sample standard deviation = 5.6193. The system has been designed so that true average activation time is at most 25 sec under such conditions. Does the data strongly contradict the validity of this design specification? Test the relevant hypotheses at signicance level .05 using the P-value approach. - Define the hypothesis test: H 0: u H a: u - Sketch a bell-shaped curve like that shown, and clearly define the "Reject\" and "Do Not Reject\" areas of the curve, along with the critical value(s) of the test statistic based on the significance level. i Raw 25 0 - Clearly define and compute the value of the appropriate test statistic based on the data (express your answer using 3 decimal places: x.xxx). - Based on the tables, list the upper and lower bounds of the p-Value associated with this value of your test statistic? Note: you do not need to interpolate to find the pvalue.