The dean of the Faculty of Business would like to investigate the marks distribution for all the modules in her business program. Due to students’ feedback, she found that students found the calculation modules difficult. So she picked business statistics as her first module to be investigated. The mark distribution for the business statistics in March 2015 semester is contained in the following table.

Mark Students for Business Statistics in March 2015 Semester 0 - 640 6 40 - 645 5 45 - 650 0 50 - 655 11 55 - 660 9 60 - 665 23 65 - 670 9 70 - 675 15 75 - 680 18 80 - 100 12 From the information given by her statistics lecturer, the mark distribution for business statistics seemed to be normally distributed with a mean m = 68.8 and standard deviation s = 12.7. Use a Chi-Square goodness-of-fit test with a 10% significance level to help the dean determine whether the information provided by the statistics lecturer is true.