Question

Duracell released an advanced long lasting AAA battery, which it claims can last on average for at least 200 days with the standard deviation of 16 days in any remote control devices. A random sample of 100 batteries was selected and the results showed that new batteries lasted on average for 198 days. Construct 90% confidence interval for the population mean and interpret it. Also conduct the five-step hypothesis test at α = 0.05 to determine whether the battery manufacturer’s claim is true or not and afterwards, compute the p-value for it.

Answer 1

1)

2) five-step hypothesis :

p value =0.1056

as test statistic is not in rejection region or p value is more then 0.05 level ; we cannot reject null hypothesis

we do not have sufficient evidence to reject the claims that AAA battery can last on average for at least 200 days