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 sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence nterval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval 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 Friday the 13th 2 7 12 4 10 13 15 14 13 In this example, Ha 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? O A. Yes, because the confidence interval does not include zero. O B. No, because the confidence interval includes zero. OC. Yes, because the confidence interval includes zero. O D. No, because the confidence interval does not include zero.

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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 sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence
interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval 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
7
12
4
Friday the 13th
10
13
15
14
13
In this example, µa 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.
|<Hd<
(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.
B. No, because the confidence interval includes zero.
C. Yes, because the confidence interval includes zero.
D. No, because the confidence interval does not include zero.
Transcribed Image Text: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 sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval 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 7 12 4 Friday the 13th 10 13 15 14 13 In this example, µa 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. |<Hd< (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. B. No, because the confidence interval includes zero. C. Yes, because the confidence interval includes zero. D. No, because the confidence interval does not include zero.
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