John Daum and Chris Yin are star swimmers at a local college. They are preparing to compete at the NCAA Division II national cha
mpionship meet, where they both have a good shot at earning a medal in the men’s 100-meter freestyle event. The coach feels that Chris is not as consistent as John, even though they clock about the same average time. In order to determine if the coach’s concern is valid, you clock their time in the last 9 runs and compute a standard deviation of 0.93 seconds for John and 1.08 seconds for Chris. It is fair to assume that clock time is normally distributed for both John and Chris. Let the clock time by John and Chris represent population 1 and population 2, respectively. Calculate the value of the test statistic.
Yes, it is reasonable. If a painter paints a fourth of a room in a fourth of a day, well that means in two-fourths of a day he would paint two-fourths of a room. Same for three fourths and four fourths, which is equal to one day. If he or she can paint one room in one day, it'd be reasonable to say that he can paint 7 rooms in 7 days.
