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Question 5 A research is conducted to review the monthly spending of primary and secondary school students on extra-curriculum activities. Students are randomly selected from different schools to take place in the survey. The summary of the survey result is as follow: Total number of interviewees Average spending ($) 40 2500 Primary school students Secondary school students 45 2700 (a) Find the combined sample mean monthly spending on extra-curriculum activities of these 85 students. (2 marks) (b) Refer to the below Excel summary report generated at 5% significance level, prepare a report in p-value approach to discuss if there is sufficient evidence to conclude that the population mean spending on extra-curriculum activities in a month by secondary school students is higher than that by primary school students. (The test report must include (i) null hypothesis and alternative hypothesis, (ii) calculated test statistics, (iii) p-value and (iv) conclusion with reason.) (8 marks) t-Test: Two-Sample Assuming Equal Variances Primary school Secondary school student student Mean 2500 2700 Variance 56923.0769 68181.8182 Observations 40 45 Pooled Variance 62891.5663 0 Hypothesized Mean Difference df 83 t Stat -3.6700 0.0002 P(T