In the early 1990\'s, researchers in the UK collected data on traffic accident r

Question

In the early 1990's, researchers in the UK collected data on traffic accident related emer- gency room admissions on Friday the 13th and the previous Friday, Friday the 6th. The distributions of these counts from Friday the 6th and Friday the 13th are shown below for six such paired dates along with summary statistics. You may assume that conditions for inference are met 6th 13th Difference Mean 7.5 10.83 3.33 SD 3.333.6 3.01 1. Conduct a hypothesis test to evaluate if there is a difference between the average num bers of traffic accident related emergency room admissions between Friday the 6th and Friday the 13th. 2. Calculate a 95% confidence interval for the difference between the average numbers of traffic accident related emergency room admissions between Friday the 6th and Friday the 13th. 3. The conclusion of the original study states, "Friday 13th is unlucky for some. The risk of hospital admission as a result of a transport accident may be increased by as much as 52%. Staying at home is recommended." Do you agree with this statement? Explain your reasoning

Explanation / Answer

Paired T-Test and CI

            N   Mean StDev SE Mean
Difference 6 -3.33   3.01     1.23

95% CI for mean difference: (-6.49, -0.17)
T-Test of mean difference = 0 (vs 0): T-Value = -2.71 P-Value = 0.042

1) p-value = 0.042 < 0.05

we rejct the null hyothesis

2)95% CI for mean difference: (-6.49, -0.17)

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