Solution Found!
Quality control for irrigation data. Refer to Exercise
Chapter 13, Problem 30E(choose chapter or problem)
Quality control for irrigation data. Refer to Exercise 13.14 (p. 13-30) and the monitoring of irrigation data by the CIMIS. Recall that daily minimum air temperatures \((^{\circ}C)\) collected hourly during the month of May at the Davis CIMIS station yielded the following summary statistics (where five measurements are collected each hour): \(\overline{\bar{x}}=10.16^{\circ} \text { and } \bar{R}=14.87^{\circ}\)
a. Use the information provided to find the lower and upper control limits for an R-chart.
b. Suppose that one day in May the air temperature at the Davis CIMIS station had a high of \(24.7^{\circ}\) and a low of \(2.2^{\circ}\). How should the manager of the station respond to this observation?
Questions & Answers
QUESTION:
Quality control for irrigation data. Refer to Exercise 13.14 (p. 13-30) and the monitoring of irrigation data by the CIMIS. Recall that daily minimum air temperatures \((^{\circ}C)\) collected hourly during the month of May at the Davis CIMIS station yielded the following summary statistics (where five measurements are collected each hour): \(\overline{\bar{x}}=10.16^{\circ} \text { and } \bar{R}=14.87^{\circ}\)
a. Use the information provided to find the lower and upper control limits for an R-chart.
b. Suppose that one day in May the air temperature at the Davis CIMIS station had a high of \(24.7^{\circ}\) and a low of \(2.2^{\circ}\). How should the manager of the station respond to this observation?
ANSWER:Step 1 of 3
Here we collected the data hourly during the month of May at the Davis CIMIS station
and we get the summary statistics as follows:
Also we have informed that 5 measurements are collected each hour. That means n = 5
a) In order to construct the control limits, we need an estimator of 
by
From the table values we have 
