A researcher wants to test the claim that the average lifespan for florescent lights is 1600 hours. A random sample of 100 fluorescent lights has a mean lifespan of 1580 hours, and a standard deviation of 100 hours. Is there evidence to support the claim at 5% level of significance? [5 marks] Question 8 The R2 from a regression of consumption on income is 0.75. Explain how the R² is calculated and interpret this value. [5 marks] Question 9 Explain what is meant by a Type 1 error. How is this error related to the significance level of a hypothesis test? [5 marks]