Question

3.86 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 3.10. (In fact, he also conducted an experiment to see if there is a difference in number of ants based on the sandwich filling. The details of that experiment are given in Chapter 8, and the full dataset is in SandwichAnts.)

TABLE 3.10Number of ants on a sandwich

Number of ants

43

59

22

25

36

47

19

21

a. Find the mean and standard deviation of the sample

c. What do we expect to be the shape and center of the bootstrap distribution?

d. What is the population parameter of interest? What is the best estimate for that parameter?

e. A bootstrap distribution of 5000 bootstrap statistics gives a standard error of 4.85. Use the standard error to find and interpret a 95% confidence interval for the parameter defined in part (d).

Note: Please complete using RStudio. Show all work, including rstudio code.

You'll need to make a few calculations, but no need to make a boostrap distribution. sampling distribution, because the SE is given in the problem statement.

Answer 1