A quality control manager at an auto plant measures the paint thickness on newly painted cars. A certain part that they paint has a mean thickness of \[2\,\text{mm}\] with a standard deviation of \[0.8\,\text{mm}\].
The manager takes a daily random sample of thickness measurements from \[100\] randomly chosen points on these parts and calculates the sample mean thickness \[\bar x\] from each sample. We can assume that the points in each sample are independent.
What will be the shape of the sampling distribution of \[\bar{x}\]?
Choose 1 answer:
Choose 1 answer:
(Choice A)
Skewed to the left
A
Skewed to the left
(Choice B)
Skewed to the right
B
Skewed to the right
(Choice C)
Approximately normal
C
Approximately normal
(Choice D)
Unknown; we don't have enough information to determine the shape.
D
Unknown; we don't have enough information to determine the shape.