Please show steps and calculation formula that involed 3 The

Please show steps and calculation (formula that involed)

3) The “jumping seal” lives in Coconut Island. Because this is an endangered species its population has been studied intensively. Scientists have determined that the body size of adult jumping seals has a parametric mean of 1.83 m (measured from the tip of the snout to the tip of the tail) and a parametric standard deviation of 0.21 m. Recently, a new population of jumping seals was discovered in a small island south of Coconut Island. A research team sampled 9 individuals from the new population and calculated a sample average of 2.11 m and a standard deviation of 0.15 m.

a. Conduct a hypothesis test to examine if the small island population has a different population mean for body size compared to the population in Coconut Island.

b. Conduct a hypothesis test to examine if the two population have different variances.

Solution