Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store.The number of returns were 10,9,11,7,3,12,8,4,6,and 11.Find the standard deviation of the sampling distribution for the p-bar chart.
A)There is not enough information to answer the question.
B).081
C)8.1
D).0273
E).0863

Question

Quizplus · Accepted Answer

The standard deviation of the sampling distribution for a p-bar chart is calculated using the formula: sqrt[(p(1-p))/n], where p is the average proportion of returns and n is the sample size. Here, p = (10+9+11+7+3+12+8+4+6+11)/1000 = 0.081, and n = 10. Plugging these values into the formula gives approximately 0.0273.

Ten Samples of a Process Measuring the Number of Returns