A fire-fighting equipment company designs a new fire prevention sprinkler system based on aqueous film-forming foam technology. The time taken to activate it is a critical measure in determining its certification for use. Ten tests were conducted and the time taken (in seconds) were as follows:

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A fire-fighting equipment company designs a new fire prevention sprinkler system based on aqueous film-forming foam technology. The time taken to activate it is a critical measure in determining its certification for use. Ten tests were conducted and the time taken (in seconds) were as follows: 27 22 27 23 35 30 33 24 27 28 Find the five-number summary of the data. (b) Compute an unbiased point estimate of the time taken to activate this new design of sprinkler system. (c) Construct a 95% confidence interval estimate for the time taken to activate this new design of sprinkler system. (d) According to standard requirement, aqueous film-forming foam fire prevention sprinkler system can only be certified for use if its mean activation time is not more than 25 seconds. Assume that you are working in the certification authority, perform a hypothesis test at a significance level of 5% to decide whether you will certify this new design of sprinkler system for use