A manufacturer of electronic component is interested in determining the lifetime of a certain type of battery. A sample, in hours of life, is as follows: 123, 116, 122, 110, 175, 126, 125, 111, 118, 117 (a) Find the sample mean and sample variance [6 marks] (b) Obtain the five number summary 8 marks (c) Draw a box plot and comment on the shape of the distribution of the lifetimes of battery. Give reasons when commenting on the shape [10 marks] (d) Identify any potential outliers by proper reasoning 5 marks