Answer Happy

Suppose that a vehicle safety engineer is interested in the reaction times for drivers to brake after recognizing the need to stop ("brake reaction time"). The engineer randomly samples 7 drivers and measures their brake reaction time in a driving simulation. From those 7 drivers, mean and standard deviation brake reaction times were 2.51 seconds and 0.76 seconds, respectively. The engineer wishes to estimate the mean brake reaction time using a 81% confidece interval (a) Based on the available information, which of the interval estimation techniques would be the most appropriate? One-sample t-confidence interval for Large-sample confidence interval for o One-sample z-confidence interval for (b) Identify each of the given statements as a condition that is clearly met, needs to be assumed, or not relevant for this interval estimation technique The sample she is "large enough --Select- Those 7 drivers were randomly selected --Select The reaction time for braking follows a normal distribution Select The population standard deviation is known Select (c) Calculate the 81% confidence interval for the true mean brake reaction time. Round your answer to four decimal places seconds, seconds) (d) What would be the most appropriate interpretation of the confidence interval you just calculated? 81% of all possible brake reaction times that can arise in real life would be within the resulting interval The probability that the resulting interval contains true mean brake reaction time is 0.81 O 81% of the sampling distribution of the mean brake reaction time is contained within the interval If we were to repeat this experiment many times and compute 81% confidence interval each time, then the 81% of brake reaction times will be contained within the resulting interval about 81% of the times. There is 81% chance that the true brake reaction time is within the interval. If we were to repeat this experiment many times and compute 81% confidence interval each time, then the resulting interval would contain the true mean brake reaction time about 81% of the times.