In: Advanced Math
Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level 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: 10 5 11 11 4 4 Friday the 13th: 14 11 14 10 6 12 .
Identify the critical value(s). The critical values are t= ±
2.0152.015.
We calculate the mean and standard deviation of both the samples as :
For Friday the 6th,
For Friday the 13th,
We conduct the T-test for two means as :
Hence, there is not enough evidence to conclude that the numbers of hospital admissions from motor vehicle crashes are affected at 5% level of significance.