3. According to a leading travel website, the amount of time people take to buy an air ticket is normally distributed with population variance 9 minutes. (a) (b) (C) A random survey of 10 people was taken and it was found out that the sample average of time it took for them to book the tickets was 48 minutes. Calculate a 95% condence interval of the true population mean of time taken to book a ticket. (No need to check assumptions) The travel website claim that the mean time to book tickets is 49 minutes. Using the data given in 3a, test the hypothesis if the claim that the travel website made is true or not at o: = 0.01. (No need to check assumptions) An external agency claimed that the population variance given is probably not correct. The observed sample variance for the sample of 10 people turned out to be 16. Test the hypothesis in 3b again but this time using the sample variance (along with data from 3a). (No need to check assumptions)