Duracell released an advanced long lasting AAA battery, which itclaims can last on average for at least 200 days with the standarddeviation of 16 days in any remote control devices. A random sampleof 100 batteries was selected and the results showed that newbatteries lasted on average for 198 days. Construct 90% confidenceinterval for the population mean and interpret it. Also conduct thefive-step hypothesis test at ? = 0.05 to determine whether thebattery manufacturer’s claim is true or not and afterwards, computethe p-value for it.