Read the "Donors.csv" dataset into R. This dataset contains a random sample of 916 donors (from a population of 1.5 million) who have donated to a Canadian charitable organization. It includes the variables age (in years), homeowner (H=yes, U=unknown), gender, wealth (1=lowest, 9=highest), children, donated last (0=did not donate, 1=did donate), and amount donated last (in dollars). a) Since there are 9 categories of wealth, the mean value is 5. An analyst for the organization is interested in whether the mean wealth category of the donor population differs from 5.

a. (2 marks) State the null and alternative hypothesis

b. (2 marks) Test this hypothesis at = 0.05 using any method (formula approach or t.test())

c. (2 marks) Make a decision to reject or fail to reject using any method (Report your p-value or critical value depending on the method you choose) d. (1 mark) Interpret your decision in the context of the problem.

b) In Canada, the average age of a person is approximately 39 years old. The Canadian charitable organization would like to know if the average age of their donors is greater than 39 years. a. (2 marks) State the null and alternative hypothesis b. (2 marks) Test this hypothesis at = 0.01 using any method (formula approach or t.test()) c. (2 marks) Make a decision to reject or fail to reject using any method (Report your p-value or critical value depending on the method you choose) d. (1 mark) Interpret your decision in the context of the problem c) (4 marks) Check the nearly normal condition for wealth and age. Is the condition satisfied?