18. Amorphophallus johnsonii is a plant growing in West Africa, and it is better known as a "corpse flower." Its common name comes from the fact that when it flowers, it gives off a "powerful aroma of rotting fish and faeces" (Beath 1996). The flowers smell this way because their principal pollinators are carrion beetles, who are attracted to such a smell. Beath (1996) observed the number of carrion beetles (Phaeochrous amplus) that arrive per night to flowers of this species. The data are as follows:

51, 45, 61, 76, 11, 117, 7, 132, 52, 149

a. What is the mean and standard deviation of beetles per flower? b. What is the standard error of this estimate of the mean? c. Give an approximate 95% confidence interval of the mean. Provide lower and upper limits. d. If you had been given 25 data points instead of 10, would you expect the mean to be greater than, less than, or about the same as the mean of this sample? e. If you had been given 25 data points instead of 10, would you have expected the standard deviation to be greater than, less than, or about the same as this sample? f. If you had been given 25 data points instead of 10, would you have expected the standard error of the mean to be greater than, less than, or about the same as this sample?