Section 9.3 Homework Question 5

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Section 9.3 Homework Question 5

Question

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.

 

 

In this example,

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?

  1. No​, because the confidence interval includes zero.
  2. No​, because the confidence interval does not include zero.
  3. Yes​, because the confidence interval includes zero.
  4. Yes​, because the confidence interval does not include zero.

 

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This question is taken from Math 10 – Introduction to Statistics » Summer 2021 » Section 9.3 Homework