Amorphophallus johnsonii is a plant called the "corpse flower" that grows in West Africa. Its flowers produce a pungent smell described as "a powerful aroma of rotting fish and faeces". It does so to attract its pollinator, the carrion beetle (Phaeochrous amplus) which live in rotting meat. Beath (1996) observed corpse flowers (hopefully wearing masks) and counted the number of beetles that arrived at each flower over the course of one night. The data is presented below: 51, 45, 61, 76, 11, 117, 7, 132, 52, 149 the mean of this sample is 70.1 beetles the standard deviation of this sample is 48.5 beetles Use the standard deviation of the sample to approximate the standard error of the mean. 1) What is the approximate SE that you calculated? Use the SE approximation method for normal sampling distributions to calculate Confidence Intervals 2) What are the 95% Confidence Intervals for this sample mean? 3) What are the 99% Confidence Intervals for this sample mean? 4) If an expanded dataset (dataset B) had 25 data points but the mean and standard deviation for dataset B did not change, what would be the new SE for dataset B? Compare this new SE with the one obtained in question 1.

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Amorphophallus johnsonii is a plant called the "corpse flower" that grows in West Africa. Its flowers
produce a pungent smell described as "a powerful aroma of rotting fish and faeces". It does so to attract
its pollinator, the carrion beetle (Phaeochrous amplus) which live in rotting meat. Beath (1996) observed
corpse flowers (hopefully wearing masks) and counted the number of beetles that arrived at each flower
over the course of one night. The data is presented below:
51, 45, 61, 76, 11, 117, 7, 132, 52, 149
the mean of this sample is 70.1 beetles
the standard deviation of this sample is 48.5 beetles
Use the standard deviation of the sample to approximate the standard error of the mean.
1) What is the approximate SE that you calculated?
Use the SE approximation method for normal sampling distributions to calculate Confidence Intervals
2) What are the 95% Confidence Intervals for this sample mean?
3) What are the 99% Confidence Intervals for this sample mean?
4) If an expanded dataset (dataset B) had 25 data points but the mean and standard deviation for
dataset B did not change, what would be the new SE for dataset B? Compare this new SE with the one
obtained in question 1.
Transcribed Image Text:Amorphophallus johnsonii is a plant called the "corpse flower" that grows in West Africa. Its flowers produce a pungent smell described as "a powerful aroma of rotting fish and faeces". It does so to attract its pollinator, the carrion beetle (Phaeochrous amplus) which live in rotting meat. Beath (1996) observed corpse flowers (hopefully wearing masks) and counted the number of beetles that arrived at each flower over the course of one night. The data is presented below: 51, 45, 61, 76, 11, 117, 7, 132, 52, 149 the mean of this sample is 70.1 beetles the standard deviation of this sample is 48.5 beetles Use the standard deviation of the sample to approximate the standard error of the mean. 1) What is the approximate SE that you calculated? Use the SE approximation method for normal sampling distributions to calculate Confidence Intervals 2) What are the 95% Confidence Intervals for this sample mean? 3) What are the 99% Confidence Intervals for this sample mean? 4) If an expanded dataset (dataset B) had 25 data points but the mean and standard deviation for dataset B did not change, what would be the new SE for dataset B? Compare this new SE with the one obtained in question 1.
Expert Solution
Confidence interval

Formula for the confidence interval of the mean, when sample size n is less than 30 and population standard deviation is not known is given by 

                     C.I=x±(t*S.E)

Where

         x- is the sample mean 

         t is the critical value 

         S.E is the standard error 

 

 

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