Researchers collected data on the numbers of hospital admissions resulting from

Question

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 6 11 11 4 4 Friday the 13th: 15 13 13 10 6 11 What are the hypotheses for this test? Let mu_d be the in the numbers of hospital admissions resulting from motor vehicle crashes for the population of all pairs of data. H_0: mu_d = 0 H_1: mu_d notequalto 0 Find the value of the test statistic. t =

Explanation / Answer

From information given, n=6 pairs, dbar=-3.67, sd=3.20

SE(dbar)= sd/sqrt n=3.20/sqrt 6=1.31

t5=(dbar-0)/SE(dbar)=(-3.67-0)/1.31=-2.80

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