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CaHeK987 [17]
3 years ago
8

Studies on a bottle-filling machine indicate that it fills bottles to a mean of 16 ounces with a standard deviation of 0.10 ounc

es. What is the process specification, assuming the Cpk index of 1?
Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

LSL = 15.7

USL = 16.3

Step-by-step explanation:

\bar x = Mean = 16 ounces

σ = Standard deviation = 0.1 ounces

C_p=1

C_p=\frac{USL-LSL}{6\sigma}\\\Rightarrow USL-LSL=6\sigma \times C_p\\\Rightarrow USL-LSL=6\times 0.1\times 1\\\Rightarrow USL-LSL=0.6

Now to find USL and LSL

As range is 6σ for finding USL and LSL we have to take value of 3σ

LSL=16-0.3\\\Rightarrow LSL=15.7

USL=16+0.3\\\Rightarrow LSL=16.3

∴ LSL = 15.7

USL = 16.3

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In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. C
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Answer:

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(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

<u>Baylor University</u>

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6

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1 player scores 14 points per game,

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The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58

Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0

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4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

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3 years ago
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