You keep track of fuel consumption for the emergency generators at your facility

Question

You keep track of fuel consumption for the emergency generators at your facility. Each diesel is operated at full loud for one hour each month with the following results for the past 10 months: The February 2016 run consumed 72.5 gallons of fuel, a value higher than any over the last 10 months. So, is something suspicious going on with respect to February's fuel consumption? In other words, how likely is it (what is the probability) that the 72.5 gallons used was due to random statistical deviation from the mean value? The sample standard deviation is 0.7078 gallons.

Explanation / Answer

From the information given, Xi=72.5, Xbar=71 [value corresponding to June 2015 is illegible] s=0.7078. Substitute the values in following equation to obtain the z score. The area corresponding to the z score gives the probability.

z=(Xi-Xbar)/s

=(72.5-71)/0.7078

=2.12

Probability is 0.4830.

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.