In order that patients don\'t experience excessive wait times, Aston Medical Cen
ID: 3321899 • Letter: I
Question
In order that patients don't experience excessive wait times, Aston Medical Center's goal is for the standard deviation for the time doctors spend with their patients to be less than 6.0 minutes. ample of time their patients was collected. These data can be found in the Excel file Aston.xlsx. The times are as follows: 9 11 18 16 18 20 16 15 12 16 23 12 21 19 12 a. Using = 0.10, determine if the goal set by Aston Medical Center is being met. b. Verify your results using PHStat. c. Interpret the p-value obtained from the software.Explanation / Answer
Given that,
population standard deviation ()=6
sample standard deviation (s) =4.0509
sample size (n) = 15
we calculate,
population variance (^2) =36
sample variance (s^2)=16.40979081
null, Ho: =6
alternate, H1 : <6
level of significance, = 0.1
from standard normal table,left tailed ^2 /2 =21.064
since our test is left-tailed
reject Ho, if ^2 o < -21.064
we use test statistic chisquare ^2 =(n-1)*s^2/o^2
^2 cal=(15 - 1 ) * 16.40979081 / 36 = 14*16.40979081/36 = 6.382
| ^2 cal | =6.382
critical value
the value of |^2 | at los 0.1 with d.f (n-1)=14 is 21.064
we got | ^2| =6.382 & | ^2 | =21.064
make decision
hence value of | ^2 cal | < | ^2 | and here we do not reject Ho
^2 p_value =0.9559
ANSWERS
---------------
a.
null, Ho: =6
alternate, H1 : <6
b.
test statistic: 6.382
critical value: -21.064
c.
p-value:0.9559
decision: do not reject Ho
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