Question

A school tracks the absences of pupils as part of a flu surveillance system. Regular reporting of absences among 29 students in grade 1 are taken, and based on these data, the long-run proportion of absences under normal conditions is estimated to be  

p = 0.076.

What is the upper control limit for a pchart of future absences from this class of size 29?

0.871

0.224

    0.611

0.230

Answer 1

SOLUTION:

From given data,

A school tracks the absences of pupils as part of a flu surveillance system. Regular reporting of absences among 29 students in grade 1 are taken, and based on these data, the long-run proportion of absences under normal conditions is estimated to be p = 0.076.What is the upper control limit for a p chart of future absences from this class of size 29?

Sample size = n = 29

p = = 0.076

1 - = 1-0.076 = 0.924

Formula for Upper limit is

Upper limit =   + 3 *(sqrt((1-) / n ))

By substituting all values,

Upper limit =  0.076 + 3 *(sqrt(0.076(1-0.076) /29))

Upper limit = 0.076 + 3 *0.0492089

Upper limit =  0.076 + 0.1476267

Upper limit = 0.2236

Upper limit 0.224

Answer : 2nd option is correct,