How many insects will climb on a piece of a peanut butter sandwich left on the ground? To study this, a researcher left a piece of a sandwich for several minutes, then covered it with a jar and counted the number of insects. He did this eight times, and the results are shown in the table below.

Number of insects

40

56

21

26

38

43

17

23

What is the population parameter of interest?

What is the best estimate for that parameter?

A bootstrap distribution of 5000 bootstrap statistics gives a standard error of 4.55. Use the standard error to find and interpret a 95% confidence interval for the parameter defined above.

The population parameter of interest is , the mean number of insects on all possible peanut butter sandwich bits. The best point estimate is the sample mean x=33 . We are 95% confident that the mean number of insects to climb on a bit of peanut butter sandwich is between 23.9 insects and 42.1 insects.

The population parameter of interest is m , the median number of insects on all possible peanut butter sandwich bits. The best point estimate is the sample mean m=32 . We are 95% confident that the mean number of insects to climb on a bit of peanut butter sandwich is between 22.9 insects and 41.1 insects.

The population parameter of interest is m , the median number of insects on all possible peanut butter sandwich bits. The best point estimate is the sample mean m=33 . We are 95% confident that the mean number of insects to climb on a bit of peanut butter sandwich is between 23.9 insects and 42.1 insects.

The population parameter of interest is , the mean number of insects on all possible peanut butter sandwich bits. The best point estimate is the sample mean x=32 . We are 95% confident that the mean number of insects to climb on a bit of peanut butter sandwich is between 22.9 insects and 41.1 insects.