The quality-control plan for a certain production process involves taking samples of size 4 . The results from the last 30 samples can be summarized as follows:

\(\sum_{i=1}^{30} \overline{X}_{i}=712.5\) \(\sum_{i=1}^{30} R_{i}=143.7\) \(\sum_{i=1}^{30} s_{i}=62.5\)

a. Compute the \(3\sigma\) control limits for the chart.

b. Compute the \(3\sigma\) control limits for the chart.

c. Using the sample ranges, compute the \(3\sigma\) control limits for the \(\overline X\) chart.

d. Using the sample standard deviations, compute the \(3\sigma\) control limits for the \(\overline X\) chart.

Equation Transcription:

Text Transcription:

sum_{i=1}^{30} overline{X}_{i}=712.5

sum_{i=1}^{30} R_{i}=143.7

sum_{i=1}^{30} s_{i}=62.5

3{sigma}

3{sigma}

3{sigma}

overline{X}

3{sigma}

overline{X}

Leslie Ogu PSYC 2012 04/26/2016 Stress and Health Pt. 1 and 2 Stress ➢ Def: negative feelings and beliefs that arise when people feel unable to cope with demands from their environment ➢ Perceived discrepancy between a person’s demands and his/her resources to cope with those demands ➢ Examples of Recent Stress ○ Had lots of tests ○ Lack of sleep ○ Had projects, research paper due ○ Having roommate or friend conflicts ○ Thoughts about the future ○ Lack of money ○ Working while in school ○ Illness (self or loved one) ➢ Types of Stressors ○ Distress v. Eustress ■ Distress harmful, threatening ● E.g., marital conflict ■ Eustress less harmful, challenging ● E.g., starting college ○ Acute v. Chronic ■ Acute relatively sudden; shortlived ● E.g., tests, traffic ■ Chronic ongoing; persistent ● E.g., job loss, serious illness ○ Physical Stressors ■ E.g., heat/cold, infection ■ Direct physical threat to one’s wellbeing ○ Physiological Stressors ■ E.g., failure to reach an important goal ■ Challenges to one’s wellbeing ○ Both physical and physiological have similar effects on t