2. An auto-maker does quality control tests on the paint thickness at different

Question

2. An auto-maker does quality control tests on the paint thickness at different points on its car parts since there is some variability in the painting process. A certain part has a tar- get thickness of 2 mm. The distribution of thicknesses on this part however is normally distributed with a mean of 2.1 mm and a standard deviation of 0.5 mm. A quality control check on this part involves taking a random sample of 100 points and calculating the mean 100 points is within O.1 mm of thetarget valuer

Explanation / Answer

hence P(mean thickness in sample is within 0.1 mm of target value):

for normal distribution z score =(X-)/x here mean=       = 2.1 std deviation   == 0.500 sample size       =n= 100 std error=x=/n= 0.0500

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

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