MATH1025 Introduction to Mathematics and StatisticsIn-class exercises/Section 2/October 18NAME:STUDENTID:Question 1: A random sample of 36 students taking an HKBU PE course was selected. Their heartrates were measured after a moderate 10-minute workout and the sample mean was 116.89 beats perminute. Suppose that the population standard deviation is 9.16.(1) Compute the standard error and construct a 95% confidence interval for the population mean.(2) Write down the corresponding margin of error.Question 2: A random sample of 32 HKBU students was taken and the students were asked whetherthey are happy with the design of their academic program. Among the interviewed students, 8 said“No” and 24 said “Yes”. Write down a point estimate of the population proportion and construct a95% confidence interval for the percentage of students who are happy with their academic program.1