Apharmaceutical company claims that the average cold lasts an average of 8.4 days. they are using this as a basis to test new medicines designed to shorten the length of colds. a random sample of 106 people with colds, finds that on average their colds last "8.7" days. the population is normally distributed with a population standard deviation of 0.9 days. at α=0.02, what type of test is this and can you support the company’s claim using the p-value?