6. A random sample of size 13 from a normal population is given below. 69 74 75 76 78 79 81 83 83 85 86 87 80 a) Someone claimed that o = 10. Does this data set support the claim? Test at or. = 0.05. b) Test if the population mean is 85 using (1 = 0.05. c) Find the pvalue of the test. 7. An airline claims that only 6% of all lost luggage is never found. If, in a sample, 17 of 200 pieces of lost luggage are not found, test the null hypothesis p = 0.06 against the alternative p > 0.06 at the 0.05 level of signicance. Use the 5-step method. 8. A test is conducted to compare the tread wear of certain type of tires on highways paved with asphalt and highways paved with concrete. Road tests were conducted with the same type of tires on two types of highways. Summary data on the mileage of the tires up to a certain level of wear are given below. Sample Size Sample Mean Sample Standard Dev. S Asphalt 35 29,700 9,700 Concrete 35 25,500 7,800 Does this information suggest that tires wear faster on concrete-paved highways than asphalt paved highways? Test using on = 001. Use the 5 step method