Navigation » List of Schools, Subjects, and Courses » Math 10 – Introduction to Statistics » Section 9.3 Homework » Section 9.3 Homework Question 5 » Section 9.3 Homework Question 5 Sample Answers
Section 9.3 Homework
5. Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected.
is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval.
Based on the confidence interval, can one reject the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected?
- No, because the confidence interval includes zero.
- No, because the confidence interval does not include zero.
- Yes, because the confidence interval includes zero.
- Yes, because the confidence interval does not include zero.