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 numbers of hospital admissions increases.   Friday the​ 6th:       9   12     11 11 3 5 Friday the​ 13th:    13 12 14 10 4 12 a. Fill in the table with the appropriate signs.   Friday the​ 6th:         9      12       11 11 3 5 Friday the​ 13th:      13 12 14 10 4 12                  ​ Sign:      nothing     nothing     nothing     nothing     nothing     nothing   b. State Upper H 0   and Upper H 1 .     A. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median not equals 0     B. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median less than 0

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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 numbers of hospital admissions increases.
 
Friday the​ 6th:       9  
12
   
11 11 3 5
Friday the​ 13th:    13 12 14 10 4 12
a. Fill in the table with the appropriate signs.
 
Friday the​ 6th:         9     
12
     
11 11 3 5
Friday the​ 13th:      13 12 14 10 4 12
                 ​ Sign:     
nothing
   
nothing
   
nothing
   
nothing
   
nothing
   

nothing

 
b. State
Upper H 0
 

and

Upper H 1
.
 
 
A.
Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median not equals 0
 
 
B.
Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median less than 0
 
 
C.
Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median greater than 0
 
 
c. Calculate x and n and find the critical value
 
x​ =
nothing
    

n​ =

nothing
   

Critical value​ = nothing

 
d. State the technical conclusion.
 
 
A.
Reject Upper H 0
 
 
B.
Do not reject Upper H 0
 
 
e. State the final conclusion.
 
 
A.
The sample data support the claim.
 
B.
There is not sufficient sample evidence to support the claim.
 
C.
There is sufficient evidence to warrant rejection of the claim.
 
D.
There is not sufficient evidence to warrant rejection of the claim.
 
f. Does it appear that Friday the 13th is unlucky in terms of the number motor vehicle​ crashes?
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