Question

WUSUT HUP 8 A producer of beverage containers wants to ensure that a liquid at 90°C will lose no more than 4°C after 30 minutes. Containers are selected at random and subjected to testing. Historical data shows the standard deviation to be 0.3°C. The quality control tearn has set 3.0 and 5.0°C as the specification limits. Here are the data from the last 12 containers tested Complete parts a through h. Container # 15 12 Temperature 3.69 4.09 4.01 3.65 3.95 4.24 4.09 Loss (°C) 454 3.61 4.43 3.88 Choose the correct answer below. ОА. bc. 4.2+ له HAT ل ا نية لا ت LVP -30 8 10 12 Click to select your answer and then click Check Answer Final Check Clear All parts remaining 1:51 PM

please show answers ,working and explanations.thanks

Answer 1

b). 3-sigma limits are denoted by UCL and LCL where UCL is upper 3-sigma limit and LCL is the lower 3-sigma limit making the entire range for datapoints 6-sigma.

Here, for our graph B based on data, none of the points is beyond LCL or UCL. Hence, it is in 3-sigma limits.

c). CL is the mean line. 2-sigma is the 2nd line above and below it. Since, we can see no point exceeds 2-sigma limit on either side.

d). 1-sigma is the 1st line above and below CL. Since, there are various points lying outside 1-sigma but they are not consecutive. Either one or two points at a time lie outside 1-sigma. Hence, no.

e). No, we do not see 8 points in a row on either side of CL or mean.

f). No, points are increasing and decreasing randomly. No, eight points in a row are seen increasing or decreasing. However, that pattern is shown by A graph which is not our data representative.

g). We conclude that our chart is under Statistical Quality Control.