1. The following data is obtained from two independent samples selected from two normally distributed population. n1= 150 X = 9.50 = õi = 2.38 n2= 1300 X2 = 6.30 = 72 = 1.35 And the alpha a = 0.01 Determine the Z-calculated value. Using the level Will you accept or reject the null? Z-tabular = +2.58 Acceptance area 0.005 0.005 99% 2.58 2.58
2 2. The mean throwing distance of a football for Marco, a high school freshman quarterback, is 40 yards, with a standard deviation of two yards. The team coach tells Marco to adjust his grip to get more distance. The coach records the distances for 20 throws. For the 20 throws, Marco's mean distance was 45 yards. The coach thought the different grip helped Marco throw farther than 40 yards. Conduct a hypothesis test using a preset a = 0.05. Assume the throw distances for footballs are normal.
3. The final exam scores in a statistics class were normally distributed with a mean of 63 and a standard deviation of five. a. Find the probability that a randomly selected student scored more than 65 on the exam. b. Find the probability that a randomly selected student scored less than 85. a.
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