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 (based on data from "Is Friday the 13th Bad for Your Health?" by Scanlon et al., British Medical Journal, Vol. 307, as listed in the Data and Story Line online resource of data sets). 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: 9, 6, 11, 11, 3, 5 .
Friday the 13th: \( 13,12,14,10,4,12 \).
a. Alternate Hypothesis \( \left(H_{1}\right): \mu_{1} \quad \hat{\forall} \mu_{2} \).
b. Test Statistic: \( t= \)
c. Critical Value: \( t= \)
d. P-Value:
e. Initial conclusion: We the null hypothesis.
f. Final conclusion: There enough evidence to warrant rejection of the claim.