Q1. The Electric Vehicle (EV) car manufacturer claims its brand-new vehicle can travel 300 km on average on a single charge. Independent test company makes 15 tests (fully chargers the battery, travels until it is drained and measure the traveled distance) and found a 95% CI for the travel distance on a single charge to be (280.0464, 309.9536). a. Given the information above, identify the s2. b. Assuming only 5 tests confirmed that EV can travel 300km and more on a single charge, what can you tell about the proportion of the maximum travel distance that confirms EV manufacturer claim with 95% confidence? Comment on the result. c. What can you tell about the population variance? (With 99% confidence)