The authors of a paper describe an experiment to evaluate theeffect of using a cell phone on reaction time. Subjects were askedto perform a simulated driving task while talking on a cell phone.While performing this task, occasional red and green lights flashedon the computer screen. If a green light flashed, subjects were tocontinue driving, but if a red light flashed, subjects were tobrake as quickly as possible. The reaction time (in msec) wasrecorded. The following summary statistics are based on a graphthat appeared in the paper. n = 61 x = 530 s = 75 (a) Assuming thatthis sample is random/representative of the population, what otherassumptions need to be true before we can create a confidenceinterval? Yes, because the population distribution is normal. No,because n < 30 No, because either np̂ < 10 or n(1−p̂) < 10Yes, because np̂ ≥ 10 and n(1−p̂)≥ 10 Yes, because n ≥ 30 No,because the population distribution is not normal. Changed: Yoursubmitted answer was incorrect. Your current answer has not beensubmitted. (b) Construct a 98% confidence interval for μ, the meantime to react to a red light while talking on a cell phone. (Roundyour answers to three decimal places.) , (c) Interpret a 98%confidence interval for μ, the mean time to react to a red lightwhile talking on a cell phone. We are % confident that the meantime to react to a is between and milliseconds. (d) Suppose thatthe researchers wanted to estimate the mean reaction time to within5 msec with 95% confidence. Using the sample standard deviationfrom the study described as a preliminary estimate of the standarddeviation of reaction times, compute the required sample size.(Round your answer up to the nearest whole number.) n = You mayneed to use the appropriate table in Appendix A to answer thisquestion.