Check my work Problem 10-2 An automatic filling machine is used to fill 1-liter

Question

Check my work Problem 10-2 An automatic filling machine is used to fill 1-liter bottles of cola. The machine's output is approximately normal with a mean of 0.91 liter and a standard deviation of 0.03 liter. Output is monitored using means of samples of 27 observations. Use Table.A. a.Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. (Do not round intermediote calculations. Round z value to 2 decimal places. Round your answers to 4 decimal places.) ok Upper control limits: Lower control limits: liter liter b.Given these sample means: 1.005, 1.001, .998. 1.002, .995, and 999, is the process in control? Prey 1 of 3 Next > ^ S22 PM SysRq Break 96

Explanation / Answer

a)

Sample mean is estimate of population mean, = 0.91 liter

Standard Error of mean, s = /n = 0.03/27 = 0.0058

For 97 percent confidence limits, value of z = NORMSINV(1-(1-0.97)/2) = 2.17

UCL = +zs = 0.91+2.17*0.0058 = 0.9225

LCL = -zs = 0.91-2.17*0.0058 = 0.8975

b) No

None of the sample means fall within the control limits, therefore, the process is not in control

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---