3. How many ants will climb on a piece of a peanut butter s…
3. 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.)1Number of ants4358222536471921Table 1 Number of ants on a sandwich1Margaret 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.(a) 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 = ___________ Standard deviation = _____________(b) What is the population parameter of interest? ________________(c) What is the best estimate for that parameter? Round your answer to one decimal place, if necessary.Best estimate= ________________(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. _____________________