Question

Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):

Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences

Answer 1

step by step help plz

Answer 2

@Loser66 can you help me plz

Answer 3

40*500/8?

Answer 4

@Loser66 am i going in the right direction?

Answer 5

Honestly, I don't know. @jtvatsim

Answer 6

I hate stats!!

Answer 7

@Loser66 thanks for being honest. hope @jtvatsim can help

Answer 8

Hmm... looking at it...

Answer 9

@jtvatsim ok

Answer 10

@jtvatsim you get 100, right? which is not the answer the Asker wants, right?
By definition of mean values, it is 500/5 =100, But they interpret the problem on the way I don't get!!

Answer 11

I'm building an excel table right now to speed up the calculations... I'll let you know what I get. The question is phrased a little unclearly.

Answer 12

If we work with the hours of A and B, then mean is 100 which is not the answer for both Ryan and Maya
But if we work on the hours itself like (6+7+8+9+10)/ 5 =8
But it is .....so...... dumb to interpret the problem that way.hahaha..... I feel so dumb now.

Answer 13

I'm trying to wrap my head around it still, I'm thinking we need to multiply the hours by the number of people who worked those hours... Not sure... still thinking...

Answer 14

ok, let's get help. Let me tag my master. @oldrin.bataku

Answer 15

@Loser66 ok

Answer 16

can it be 6(60)+7(90)+8(145)+9(150)+10(55)

Answer 17

then? divided by what??

Answer 18

and why do you just pick sample A to work out? why not B?

Answer 19

starting from the top..just guessing

Answer 20

I actually like that line of thought. It seems reasonable... for the following reasons:

Answer 21

We are trying to figure out the "Average number of hours worked".

The best way to do this is to first determine the "Total number of hours worked" and then divide this by the number of people we have. This will give us the average number of hours worked for one person.

Answer 22

Now, Loser66 raises a good point. Do we calculated the average for each sample separately? Or should we combine them? I argue that we should combine them, but either way, it seems like you will get similar answers.

Answer 23

if we combined them we won't determined who is correct

Answer 24

Perhaps, I guess that is assuming that Ryan uses one sample and Malia uses the other. I feel that they are both looking at the same data. But since you have probably worked on other problems in the class, you might have a better feel for what the assignments ask for.

Answer 25

Either way, we can gather the data and then decide what we will do with it.

Answer 26

Sample A Data:
Total hours worked: 4050 hrs
Total people sampled: 500 people.

Sample B Data:
Total hours worked: 4055 hrs
Total people sampled: 500 people

Answer 27

they check the same data

Answer 28

8.1

Answer 29

which is both samples; I think the purpose of the question is that you might not be able to just add them all together as a single sample since there's no reason to believe the random samples are not correlated in some unseen way (through overlapping, sampling some of the same people)

Answer 30

@oldrin.bataku because both worked out to be 8.1 therefore Ryan is correct?

Answer 31

@steffie84 what is your grade? which course it is?

Answer 32

@Loser66 7th am doing virtual school

Answer 33

WWWWWWWWWWat?? 7th grade!! shame on me!!! I don't know how to solve the 7th grade problem. hehehe.....

Answer 34

@Loser66 haha no shame there