Question

Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sam le and that the differences have a distribution th s approximate norma Construct a g % confidence teva estimate ofthe mean of he pula r oft ere en hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month fals on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected Friday the 6th Friday the 13th 12 14 10 13 13 13 In this example, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval. Round to two decimal places as needed.) Based on the confidence interval, can one reject 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? 。A. Yes, because the confidence interval does not include zero O B. No, because the confidence interval does not include zero. ° C. Yes, because the confidence interval includes zero O D. No, because the confidence interval includes zero. Click to select your answer(s).

Answer 1

From the given data, = -5.4   S_D = 2.5100   n = 5

The 95% confidence interval is given by ± z_α/2 (s_D / √n)

The z critical value z_α/2 = z_0.025 = 2.776

95% confidence interval is given by

± z_0.025 (s_d / √n) = (-5.4 ± 2.776*2.5100/sqrt(5)) = (-8.5161, -2.2839)

The 95% confidence interval for the mean difference μ_dis -8.52 < μ_d <-2.28 .

Yes, based on the confidence interval, you can reject the claim that when the 13^th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected.

Because the confidence interval does not conclude zero.