A company offered one half of its employees a bonus if the production of gears increased by 50%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 40.
What is the correct order of steps to determine if the results are significant?
A: Calculate the probability of a difference of 20.
B: Randomly separate the employeesâ€™ individual results into two groups.
C: Calculate the mean of each group.

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- anonymous

D: Calculate the difference of the means.
E: Run the experiment many times.

- anonymous

B, C, E, A, D
A, B, C, E, D
B, C, D, E, A
A, B, C, D, E

- anonymous

@jim_thompson5910 , i think it's "A"

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## More answers

- jim_thompson5910

B, C, E, A, D
implies that you calculate the probability of getting a difference of 20 and then calculate the difference in the means next. But how can you find the probability of something that isn't set up yet?

- anonymous

so we need to calculate the difference of the mean first? which is "C''

- jim_thompson5910

yeah B, C, D, E, A makes more sense

- jim_thompson5910

Essentially what is going on is you're making a bunch of calculations of xbar1 - xbar2. Call these differences \(\large d_i\)
each difference is then used to create a distribution
and you'll determine how likely it is to get a difference of 20 based on this distribution

- anonymous

oh ok , thank you so much. i have one last question if you don't mind.

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