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.     In this​ example, mu Subscript d 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. _____< mu Subscript d < ______ ​(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. No​, because the confidence interval includes zero. B. No​, because the confidence interval does not include zero. C. Yes​, because the confidence interval includes zero. D. Yes​, 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.
 
 
In this​ example, mu Subscript d 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.
_____< mu Subscript d < ______ ​(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. No​, because the confidence interval includes zero.
B. No​, because the confidence interval does not include zero.
C. Yes​, because the confidence interval includes zero.
D. Yes​, because the confidence interval does not include zero.
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
11
4
4
3
Friday the 13th
11
14
10
10
11
In this example, H, 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.
|<Hg <]
(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. No, because the confidence interval includes zero.
O B. No, because the confidence interval does not include zero.
O C. Yes, because the confidence interval includes zero.
O D. Yes, 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 11 4 4 3 Friday the 13th 11 14 10 10 11 In this example, H, 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. |<Hg <] (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. No, because the confidence interval includes zero. O B. No, because the confidence interval does not include zero. O C. Yes, because the confidence interval includes zero. O D. Yes, because the confidence interval does not include zero.
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