Tutorial5.pdf - MATH1025 Introduction to Mathematics and...

MATH1025 Introduction to Mathematics and Statistics
In-class exercises/Section 2/October 18
NAME: STUDENT ID:
Question 1 : A random sample of 36 students taking an HKBU PE course was selected. Their heart
rates were measured after a moderate 10-minute workout and the sample mean was 116.89 beats per
minute. 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 whether
they 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 a
95% confidence interval for the percentage of students who are happy with their academic program.
1

Question 3 : A theme park manager wants to construct a 95% confidence interval for the mean daily
expenditure among the visitors of the park.