5:02 CO . Find the area under the normal curve between each given z score and Draw each normal curve to show the area. (3 points each) a. Z = - 1.20 and z = 2.40 b. Z =-1.23 and z = 1.87 c. Z=-2.35 and z = -0.50 II. Solve the following problems. Show the area under the normal curve for each given problem ( 3 points each) 1. A brisk walk at 4 mi/hr burns an average of 300 calories/hr. If the standard deviation of the distribution is 8 calories, find the probability that a person who walks one hour at the rate of 4 mi/hr will burn the following calories: a) More than 280 calories b) Less than 293 calories c) Between 285 and 320 calories 2. One of the schools in HRM in NCR desires to accept only the top 20% of all graduating senior high school based on the results of a National Placement Test. This test has a mean of 500 and standard deviation is 100. Find the cut off score for the examination. Assume the variables are normally distributed. III. For each given situation, Give the null and alternative (directional and non-directional) hypotheses. (Be reminded of the difference between association and comparison of variables) ( 3 points each) 1. A researcher gathered information on the monthly mean temperature and the gross sales of soda of a particular region. 2. A graduate student wants to find the performance of the medical graduates of private universities and state universities in the past five board examinations