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 ant based on the sandwich filling.)1 Number of 43 59 22 25 36 47 19 21 ants

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Chapter10: Statistics
Section10.1: Measures Of Center
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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
47
19
21
ants
Table 1 Number of ants on a sandwich
"Margaret 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.
||
Standard deviation=
Transcribed Image Text: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 47 19 21 ants Table 1 Number of ants on a sandwich "Margaret 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. || Standard deviation=
(c) What is the best point estimate for that parameter?
Round your answer to one decimal place, if necessary.
Best estimate=
eTextbook and Media
Hint
(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
Transcribed Image Text:(c) What is the best point estimate for that parameter? Round your answer to one decimal place, if necessary. Best estimate= eTextbook and Media Hint (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
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