Question

A company offered one half of its employees a bonus if the production of light bulbs increased by 20%. 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 15 and production in the bonus group increased by a mean of 10.

What is the correct order of steps to determine if the results are significant?
A: Randomly separate the employees’ individual results into two groups.
B: Calculate the mean of each group.
C: Calculate the difference of the means.
D: Run the experiment many time

Answer 1

@mathmale, please help!

Answer 2

I'd love to help you with this, but it's been two or three years since I last tackled a problem involving two different groups. I'm afraid I'll have to excuse myself here. Very sorry.

Answer 3

is that from algebra -2 or Pre-cal?

Answer 4

That's okay :) thanks anyways! @mathmale
@driftracer305 it is from Alg 2

Answer 5

It's technically trig though

Answer 6

really?......... like do u knw what unit or topic?...

Answer 7

ohh ok....... makes sense

Answer 8

Could you help me?

Answer 9

@alg2help .......even m not sure about it........ i can guess but i dont want u to get it wrong......

Answer 10

That's okay, I don't really think guessing is my best option here. Thanks anyways!!! xD

Answer 11

@driftracer305

Answer 12

m sorry i couldnt be of any help............. sorry... :(

Answer 13

You're fine!!!!

Answer 14

@mathstudent55, can you please help me on this one?

Answer 15

@uri, can you help???

Answer 16

@SithsAndGiggles, can you please help me???

Answer 17

@mathmate ??????

Answer 18

I'm pretty sure D would be last. Repetition is usually the last step in any sort of experiment.

Answer 19

Honestly, ABCD sounds right to me... but not sure

Answer 20

Hmm, okay thank you :) could you help me with another one?

Answer 21

It looks to me ABCD sound like the right order as well, except I do not see the rationale of the experiment compared to the objective.
I do believe that the number of employees in each group is important in determining the significance of the results.

Answer 22

Did you guys see E as well???

Answer 23

I forgot to include E
E: Calculate the probability of a difference of 5.

Answer 24

Then it should logically follow C, i.e. ABCED

Answer 25

That is not an option, unfortunately

Answer 26

A, B, C, D, E

D, E, A, B, C

C, E, A, B, D

A, B, D, C, E

Answer 27

Then BCE should be preceded or followed by the other two.
You could do DABCE, or ABCED (not an option)

Answer 28

I posted the options above ^^

Answer 29

Yes, I would go for ABCDE, now that I have finally figured out the rationale.

The idea is to have a null hypothesis that the numbers are homogeneous.
By mixing up the numbers and doing the calculation of the means many times, we are creating a population which is normally distributed, according to the law of large numbers.
Thus it is possible to find the probability of a 5% difference assuming a normal distribution and decide with a certain confidence interval that the null hypothesis is valid or not.

Answer 30

Awesome!!! THANK YOU. Do you think you could help me with one more? It is already posted and I tagged you in it.

Answer 31

I'll try, statistics is not my forte!

Answer 32

@alg2help was that the right answer?