1. (20 Points) The time required in minute for 26 students to finish a 50 minute history exam is recorded as the following: 46.23713, 52.58143, 42.89946, 50.66941, 28.42386, 50.77394, 42.65797, 50.42930, 59.45894, 64.33043, 44.48510, 48.43943, 45.10024, 48.38066, 49.75874, 43.07601, 48.27409, 55.65475, 50.56731, 48.17550, 52.46376, 53.82756, 56.37297, 59.33533, 51.23410, 47.14756 (a) (5 Points) Draw a histogram of the data and describe the shape of it. (b) (5 Points) Draw a qqplot to check whether the normality assumption of the data is valid [Hint: Use "qqnorm" command] (c) (10 Points) Perform a hypothesis test to check whether we can say that students can finish the exam in time./n

Fig: 1