Crunchy Potato Chip Company has two different manufacturing plants. Company officials want to test whether each plant fills the
bags with the same number of ounces. A random sample of potato chip bags from plant A had a mean of 24.2 ounces in each bag. A random sample from plant B had a mean of 22.2 ounces. They randomized the data over 100 trials, and the difference of means for each trial is shown in the dot plot below. What can Crunchy Potato Chip Company conclude from this study?
A)The difference is not significant because a difference of 2.0 is very likely.
B)The difference is not significant because a difference of 2.0 is not very likely.
C)The difference is significant because a difference of 2.0 is not very likely.
D)The difference is significant because a difference of 2.0 is very likely.
A)The difference is not significant because a difference of 2.0 is very likely.
B)The difference is not significant because a difference of 2.0 is not very likely.
C)The difference is significant because a difference of 2.0 is not very likely.
D)The difference is significant because a difference of 2.0 is very likely.
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats