One group of scientists (Group A) has measured a time for a particular chemical reaction to be completed to be 7.34 ± 0.05 s. A second group of scientists (Group B) complete a similar experiment and measure the time to be 7.38 ± 0.03s. A third group (Group C) measured the time to be 7.46 ±0.06s. Do results of Group A and B agree with each other within the experimental uncertainty? Do results of Group A and C agree with each other within the experimental uncertainty?

Question

Mathematics

Emilie Bauer

1 January, 07:18

One group of scientists (Group A) has measured a time for a particular chemical reaction to be completed to be 7.34 ± 0.05 s. A second group of scientists (Group B) complete a similar experiment and measure the time to be 7.38 ± 0.03s. A third group (Group C) measured the time to be 7.46 ±0.06s. Do results of Group A and B agree with each other within the experimental uncertainty? Do results of Group A and C agree with each other within the experimental uncertainty?

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Emerson Hartman · Answer 1

1. Group A and B agree with each other.

2. Group A and C do not agree with each other.

Step-by-step explanation:

When we are analizing this problem, we will see what are the ranges of this measured times. Since we are taking into account the error we can see that:

Group A varies from 7.34-0.05 to 7.34+0.05. So the limits are (7.29; 7.39) Group B varies from 7.38-0.03 to 7.38+0.03. So the limits are (7.35; 7.41) Group C varies from 7.46-0.06 to 7.46+0.06. So the limits are (7.40; 7.52)

Question 1 is about the overlapping response in Group A and Group B. And yes, we have an overlap between 7.35 to 7.39. Among this times both group A and B are in agree with each other within the experimental uncertainty.

Question 2 is now referring to Group A and Group C. And no, there isn't any common time where both groups agree with each other.