Data on the numbers of hospital admissions resulting from motor vehicle crashes
ID: 2906960 • Letter: D
Question
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.
Friday the 6th
66
88
1010
66
77
Friday the 13 thFriday the 13th
1212
1313
1010
1515
1515
In this example,
mu Subscript d?d
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.
nothingless than<mu Subscript d?dless than<nothing
(Round to two decimal places as needed.)
Friday the 6th
66
88
1010
66
77
Friday the 13 thFriday the 13th
1212
1313
1010
1515
1515
Homework: Section 9.4 Homework Score: 0 of 1 p 9.4.15-T HIN Score: 6607%, 10570116 pts Question Hep are not afleced 10Explanation / Answer
data
6 12
8 13
10 10
6 15
7 15
using minitab
stat - > paired t
select corresponding columns having data
Paired T for C2 - C3
N Mean StDev SE Mean
C2 5 7.400 1.673 0.748
C3 5 13.000 2.121 0.949
Difference 5 -5.60 3.51 1.57
95% CI for mean difference: (-9.95, -1.25)
T-Test of mean difference = 0 (vs ? 0): T-Value = -3.57 P-Value = 0.023
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