A company wants to establish that the mean life of its batteries, when used in a wireless mouse, is over 183 days. The data consist of the life lengths of batteries in 64 different wireless mice.
(a) Formulate the null and alternative hypotheses.
(b) What is the conclusion to your test if  = 190.5 and s = 32 days? Take α = .05.
(c) Based on your decision in part (b), what error could you have possibly made?