Question

Problems 3-5 (1pt each) a toy factory and need a 3-sigma X control chart to monitor the amount of red dye irn dye follows a normal distribution. When the -6.3. They their red paint used on their fire trucks. The amount of red process is in control, the mean and standard deviation amount of red dye are μ have the following data: 36 and σ Sample Mean Sample Dye Measurements 32, 38, 35 34, 39, 31 Time Period 25,24,19 3. 4. What are the LCL and UCL respectively? Round to one decimal place. Was there a signal? a. Yes b. No What is the probability of getting a Type I error? Round all intermediate steps and the final answer to four decimal places. 5.

Answer 1

Time period	Sample Dye Measurements	Sample mean
1	32,38,35	35
2	34,39,31,	34.67
3	25,24,19,	22.67

We Run X bar control chart through Minitab Software:

Go to Stat > Control Charts > Variables for Subgroups > Xbar

Minitab Untitled [Worksheet 2 ** File Edit Data Calc Stat Graph Editor Iools Window Help Assistant C1 C3 C4 C5 C6 C8 C9 C10 Time Sample Dye measurements 32 38 35 34 39 31 25 24 19 Xbar Chart All observations for a chart are in one column: Sample Dye measurements' 4 Subgroup sizes: Time (enter a number or ID column) 3 Scale... Labels. 10 Multiple Graphs... Data Options... Xbar Options... 12 Select 13 Help OK Cancel 15 16 17

Click OK

LCL:=24.55

Xbar Chart of Sample Dye measurements 38 36 UCL-37.00 34 c 32 30 X-30.78 u 28 26 24 LCL-24.55 3 Sample

UCL=37

Yes there is Signal (out of control) or outlier.

Post remaining question saperately.

Hope this will b ehelpful. Thanks and God Bless You :)