In testing two-tailed related sample t-test with 28 samples, the test statistic is obtained as 1.71. Find the p-value of the test and give conclusion regarding the null hypothesis at 0.05 level. Suppose the time spent for preparing for an exam is normally distributed with mean 17.5 hours and standard deviation 5 hours. What percentage of students spends 2.5 to 32.5 hours for preparing for the exam. (Use Empirical rule.) Which of the following is the correct relative frequency histogram for the following data: Class interval Frequency 90 80 70 0.26 60 50 a) Relative frequency histogram 2-4 48 0.40 0.37 0.35 4-6 63 0.30 0.25 0.25 0.19 6-8 92 0.20 0.15 0.10 8-10 66 0.05 0.00 10-12 2 47 10 c) Relative frequency histogram b) Relative frequency histogram 0.35 92 0.29 0.90 0.25 66 0.21 0.20 0.20 0.15 0.15 0:10 0.05 0.00 10 12 2 015 10 12 The Sport survey Analysis compiles data on interested sports of students from a particular University. Suppose that 71 students are randomly selected to estimate the mean interested sport of all students and the results are shown in the following frequency distribution. Interested Sport 1 2 3 4 5 Frequency 28 19 15 5 4 If the population standard deviation of students is 1.17, determine a 99% confidence interval for the mean interested sport of all students.