Question

Two machines, C1 and C2, are making pins which must have a diameter of 8 cm ± .01 cm or they are rejected. Dotplots of 50 pins from each machine are displayed below. They are both on the same scale.

By simply looking at the dotplots, i.e. without doing any calculations or counting, compare the distributions of the two machines:

Answer 1

@cwrw238 @saifoo.khan

Answer 2

@ash2326 @pooja195 @paki

Answer 3

Which machine obviously has more pins outside the specified tolerance on the diameter?

Answer 4

C1 @kropot72

Answer 5

Correct. Also which machine has a distribution of the diameters which approximates a normal distribution?

Answer 6

C2? @kropot72

Answer 7

Correct again! You can use these observations as the basis for your answer.

Answer 8

okay so would that be it for this part? (there is an additional part that i would love for you to help in as well, if thats alright of course) @kropot72

Answer 9

@Data_LG2

Answer 10

@ash2326

Answer 11

@perl

Answer 12

theres another part to the question.. could you help[ me with it? @perl

Answer 13

In what sense is machine C2 better at producing pins? Justify your argument. @perl

Answer 14

C2 has less variance. this is good because suppose you have two machines both with mean 80 cm. the machine with more variance will produce more pins that are bigger than the mean or smaller than the mean. but the machine with less variance will produce pins closer to the mean.
So less variance = more precision.

Answer 15

thank you so much!! @perl