Question

4 Friday the 6th: Friday the 13th: 9 13 5 11 11 14 11 10 6 10 What are the hypotheses for this test? Let Hd be the in the num

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 number of hospital admissions for motor vehicle crashes are not affected.

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Answer #1

the necessary calculation table:-

friday 6 th (xi) friday 13 the (yi) dị = Ti-gi. (P - !p)
9 13 -4 0.444489
5 11 -6 7.111289
11 14 -3 0.111089
11 10 1 18.77749
4 6 -2 1.777689
4 10 -6 7.111289
sum=-20 sum=35.333333

sample size (n) = 6

Σd, d -20 6 = -3.3333 η

Sd Σ(d, - d)2 η –1 35.333333 6 - 1 & 2.6583

a).let Pr be the difference in the .........................

hypothesis:-

HO: Ud=0 [ claim ]

Hi :d +0

b).the test statistic be:-

t= d Sdn -3.3333 2.6583/V6 -3.071

c). df = (n-1) = (6-1) = 5

t critical value for df = 5, alpha=0.05, both tailed test = 2.571

the critical values are t = \pm 2.571 (A)

d).There is sufficient evidence to warrant rejection of the claim of no effect. Hospital admissions appear to be affected . (C)

[ t calculated = -3.071 < -2.571...so, we reject the null hypothesis .]

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.

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