The following paired observations show the number of citations given for speedin
ID: 3246734 • Letter: T
Question
The following paired observations show the number of citations given for speeding by Officer Dhondt and Officer Meredith of the South Carolina Highway Patrol for the last 5 months
Citations
Months
Officer Dhondt
Officer Meredith
May
30
29
June
22
22
July
25
23
Aug
19
18
Sept
26
22
At a .05 significance level, is there reason to believe that Officer Dhondt gives more citations on average than Officer Meredith?
Identify the null hypothesis and the alternative hypothesis.
a Ho The mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith.
Ha There is no difference between the mean number of citations given by Officer Dhondt and Officer Meredith.
b Ho There is no difference between the mean number of citations given by Officer Dhondt and Officer Meredith.
Ha The mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith.
c Ho There is no difference between the mean number of citations given by Officer Dhondt and Officer Meredith.
Ha There is a difference between the mean number of citations given by Officer Dhondt and Officer Meredith.
d Ho There is no difference between the mean number of citations given by Officer Dhondt and Officer Meredith..
Ha The mean number of citations given by Officer Dhondt is less than the mean number given by Officer Meredith.
Enter the correct answer by selecting the appropriate letter.
What is the numerical value of the test statistic?
Enter answer rounded to 2 decimal places.
What is the numerical value of the Pvalue.
Enter answer rounded to 3 decimal places.
Is there sufficient evidence to support the claim that the mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith.?
Enter the correct answer by selecting the appropriate letter
a There is insufficient evidence to support the claim that the mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith.
b There is sufficient evidence to support the claim that the mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith.
c There is insufficient evidence to draw a conclusion about the mean number of citations given by Officer Dhondt and the mean number of citations given by Officer Meredith.
Citations
Months
Officer Dhondt
Officer Meredith
May
30
29
June
22
22
July
25
23
Aug
19
18
Sept
26
22
Explanation / Answer
1) b. HO-There is no difference between the mean number of citations given by officer Dhondt and officer.Meredith.
Ha The mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith.
2) What is the numerical value of the test statistic
from this n =n1=n2 = 5
x1^=24.40
x2^ = 22.80
s of d = 1.6
tstastic = x1bar-x2bar / s/sqrtn
=24.4-22.8 /( 1.6/sqrt5)
= 1.6/0.7155= 2.23 rounded to two decimals
T (±wo-Tailed), =0.05
Degrees of freedom =df=n-1=5-1=4
from tstastic table we have
Lower Critcal T- score =-2.7764
Upper Crtcal T- score =2.7764
now detrmine p value is
pvalue from standard z table we have when z = 2.77is 0.0023 rounding off to three decimals 0.002
3 b) There is sufficient evidence to support the claim that the mean number of citations given by Officer Dhondt is greater than the mean number given by Officer Meredith. i.e 24.4>22.8
dhondt meredith difference 30 29 1 22 22 0 25 23 2 19 18 1 26 22 4 tot /5 = 24.40 tot/5 =22.8 1.6Related Questions
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