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Question 1117349: Hello! I have a problem that I'm a little confused on and I calculated the first part. However, I'm getting confused on the second because I am not sure what it is asking me or if I am doing this problem correctly. I will be so thankful if I could have some feedback on my work and any help is welcomed and appreciated. Thank you so much! See, I already did the problem but there is one thing that is kind of confusing me. Here's the problem:
A scientific experiment found that the average weight of adult male emperor penguins is 74 pounds with a margin of error of 25 pounds.
a) What is a confidence interval for the average weight of adult male emperor penguins?
Here is my answer:
I know confidence interval is (sample statistic-margin of error) and (sample statistic+margin of error)
So I did this: (74-25)=49
(74+25)=99
Then it asks me this: If we found a flock of male emperor penguins that had an average weight of 51 pounds would this be unusual? Why or why not?
I checked the confidence interval and it looks like it wouldn't be unusual. That's the part that is really tricking me. I'm not sure if that's correct.
Any help is greatly appreciated! Thank you so much! This really helps me a lot!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I have a problem that I'm a little confused on and I calculated the first part. However, I'm getting confused on the second because I am not sure what it is asking me or if I am doing this problem correctly. I will be so thankful if I could have some feedback on my work and any help is welcomed and appreciated. Thank you so much! See, I already did the problem but there is one thing that is kind of confusing me. Here's the problem:
A scientific experiment found that the average weight of adult male emperor penguins is 74 pounds with a margin of error of 25 pounds.
a) What is a confidence interval for the average weight of adult male emperor penguins?
Here is my answer:
I know confidence interval is (sample statistic-margin of error) and (sample statistic+margin of error)
So I did this: (74-25)=49
(74+25)=99
Then it asks me this: If we found a flock of male emperor penguins that had an average weight of 51 pounds would this be unusual? Why or why not?
I checked the confidence interval and it looks like it wouldn't be unusual. That's the part that is really tricking me. I'm not sure if that's correct.
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You have the right interval:: 49 < u < 99 with some unknown level of confidence.
You have that level of confidence that the mean is in that interval.
51 is there so it's not that unusual.
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Cheers,
Stan H.
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