Please Answer the following questions Using STAT:

Ants on a Sandwich How many ants will climb on a piece of a peanut butter sandwich left on the ground near an ant hill? To study this, a student in Australia left a piece of a sandwich for several minutes, then covered it with a jar and counted the number of ants. He did this eight times, and the results are shown in Table 1. (In fact, he also conducted an experiment to see if there is a difference in number of ants based on the sandwich filling.)1 Number of 43 59 22 25 36 19 21 ants Table 1 Number of ants on a sandwich 1Margaret M.. "Favourite Experiments: An Addendum to What Is the Use of Experiments Conducted by Statistics Students?" Journal of Statistics Education, 1994, http://www.amstat.org/publications/jse/v2n1/mackisack supp.html. (e) Find the mean and standard deviation of the sample. Round your answer for the mean to one decimal place and the answer for the standard deviation to two decimal places. Mean 1 Standard deviation 1 eTextbook and Media [b) What is the population parameter of interest? " P1 #1 P2 The parameter of Interest Is(c) What is the best point estimate for that parameter? Round your answer to one decimal place, if necessary. Best estimate eTextbook and Media (d) A bootstrap distribution of 5000 bootstrap statistics gives a standard error of 4.85. Use the standard error to find a 95 % confidence interval for the parameter defined in part (b). Round your answers to one decimal place. The 95 % confidence interval is to i eTextbook and MediaBrain Hippocampal Size A recent study' examined the relationship between football playing and hippocampal volume, in uL, in the brain. We use the n = 25 participants in the control group to estimate average brain hippocampus volume for all non-football playing people. Use the dotplots in the figure below to answer the following questions. 6000 6500 7000 7500 8000 6500 5 9000 9500 10000 7000 7200 7400 7600 7800 8000 8200 Dotplot I Dotplot II Singh R. et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes". JAMA, 311(18). 2014. Data values are estimated from information in the paper. (e) Two dotplots are shown: one shows the original date and one shows a bootstrap distribution from the data. Which is which? The original data is shown in The bootstrap distribution is shown in eTextbook and Media(b) Give the correct notation for the sample mean hippocampal volume. eTextbook and Media (c) Estimate the sample mean hippocampal volume based on the graphs. Round your answer to the nearest integer. Sample mean s 1 eTextbook and Media [d) Use the graphs to roughly estimate the standard error if we use this sample mean to estimate hippocampal volume. There are 500 samples in the bootstrap distribution. Round your answer to the nearest integer. Standard error : 1 eTextbook and Media (e) Does the standard deviation of the original data appear to be larger or smaller than the standard error? O Smaller O Larger(f) Use the estimated mean and the estimated standard error to find a rough 95 % confidence interval for the mean hippocampal volume. Round your answers to the nearest integer. The interval is i 1 eTextbook and Media