Question

In: Advanced Math

Researchers collected data on the numbers of hospital admissions resulting from motor vehicle​ crashes, and results...

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.

Solutions

Expert Solution

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.


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