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Researchers measured the incubation times of 100 emperor pen
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13 Aug 2020, 01:34
13 Aug 2020, 01:34
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Question Stats:
40% (01:45) correct
59% (01:55) wrong based on 74 sessions
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Researchers measured the incubation times of 100 emperor penguin eggs. The researchers’ analysis showed that the data followed normal distribution, the mean was 64 days, and the standard deviation was 1 day. After recounting, the researchers found more eggs and added them to the original data set: 4 eggs took 64 days to hatch, 2 took 61 days, and 2 took 67 days.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Quantity A |
Quantity B |
1 day |
1 standard deviation of the data set that includes all 108 eggs |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Re: Researchers measured the incubation times of 100 emperor pen
[#permalink]
13 Aug 2020, 13:34
13 Aug 2020, 13:34
2
Standard Deviation is a measure of spread of the data.
Notice that originally we have a normal curve with mean 64 and standard deviation equal to 1
That means the data is
68% between 63 and 65
96% between 62 and 66
therefore the chance of getting data below 62 and above 66 is less than 4% given our standard deviation
Our new observations of
4 eggs hatching in 64 days
2 eggs hatching in 61 days
2 eggs hatching in 67 days
show us that we had 2 eggs below 62 days, and 2 eggs above 66 days.
Because we are getting data that is far into the tails of the normal curve this will increase the standard deviation b/c it shows the data is more sparse than what was originally thought.
Final Answer: B
Notice that originally we have a normal curve with mean 64 and standard deviation equal to 1
That means the data is
68% between 63 and 65
96% between 62 and 66
therefore the chance of getting data below 62 and above 66 is less than 4% given our standard deviation
Our new observations of
4 eggs hatching in 64 days
2 eggs hatching in 61 days
2 eggs hatching in 67 days
show us that we had 2 eggs below 62 days, and 2 eggs above 66 days.
Because we are getting data that is far into the tails of the normal curve this will increase the standard deviation b/c it shows the data is more sparse than what was originally thought.
Final Answer: B
Re: Researchers measured the incubation times of 100 emperor pen
[#permalink]
05 Jul 2022, 09:18
05 Jul 2022, 09:18
can anyone explain this?
i'm not getting how the data is 68% between 63 and 65 , 96% between 62 and 66
i'm not getting how the data is 68% between 63 and 65 , 96% between 62 and 66
