A biomedical engineering companyr manufacture articial hip joints from titanium allov. The femoral head for the joint needs to he precision machined to t the corresponding socket in the pelvis. To test their manufacturing process, the company have produced 25 femoral heads with an intended diameter of 45mm. The femoral heads were measured, and their mean and standard deviation were found to he 45.1mm and 0.5mm, respectively- 1. Calculate the standard error of the mean bv hand. 2. If another 25 femoral heads were prod uced, what is the probability that their mean diameter would be within [1.1 mm of the target value of 45mm? Work out the answer by hand