Researchers Holdgate et al. (2016) studied walking behavior of elephants in North American zoos to see if there is a difference in average distance traveled by African and Asian elephants. They put GPS loggers on 33 African elephants and 23 Asian elephants and measured the distance (in kilometers) the elephants walked per day. The data in the file below Elephants contains results that are consistent with what the researchers found:

Species Distance: African 6.12 African 3.65 African 4.26 African 3.8 African 5.23 African 5.02 African 5.17 African 5.37 African 4.89 African 6.4 African 6.42 African 6.85 African 3.38 African 7.71 African 4.02 African 3.52 African 5.81 African 5.83 African 7.02 African 6.11 African 4.62 African 5.54 African 3.2 African 5.49 African 5.47 African 6.97 African 3.74 African 3.04 African 7.84 African 8.62 African 7.63 African 5.25 African 4.19 Asian 1.39 Asian 2.59 Asian 8.03 Asian 7.93 Asian 0.33 Asian 8.22 Asian 6.95 Asian 2.39 Asian 3.89 Asian 10.53 Asian 7.57 Asian 1.8 Asian 1.3 Asian 0.6 Asian 9.9 Asian 5.66 Asian 4.15 Asian 9.84 Asian 2.58 Asian 8.83 Asian 3.68 Asian 9.95 Asian 3.8

Transcribed Image Text:(a) Put the data in the Multiple Means applet to create a null distribution and from it calculate a standardized statistic. Round answer to 2 decimal places, e.g. 0.29. Standardized statistic = i eTextbook and Media (b) Explain what your statistic from part (a) means in context. The answer from part (a) represents the number of standard deviations that the difference between the average distance traveled between elephants (African - Asian) is below 0.099. The answer from part (a) represents the number of standard deviations that the difference between the average distance traveled between elephants (African - Asian) is above 0.099. The answer from part (a) represents the number of standard deviations that 0.099 (difference between the average distance traveled between African elephants - Asian elephants) is below the mean of the null distribution. The answer from part (a) represents the number of standard deviations that 0.099 (difference between the average distance traveled between African elephants - Asian elephants) is above the mean of the null distribution. eTextbook and Media (c) Based on your statistic, is there strong evidence of a difference in distances between the two species of elephants? Explain how you know. Yes, there is strong evidence of a difference in the mean distance walked between the Asian and African elephants because the standardized statistic is close to 0. Yes, there is strong evidence of a difference in the mean distance walked between the Asian and African elephants because the standardized statistic is greater than 2. No, there is not strong evidence of a difference in the mean distance walked between the Asian and African elephants because the standardized statistic is close to 0. No, there is not strong evidence of a difference in the mean distance walked between the Asian and African elephants because the standardized statistic is greater than 2.

Question

Researchers Holdgate et al. (2016) studied walking behavior of elephants in North American zoos to see if there is a difference in average distance traveled by African and Asian elephants. They put GPS loggers on 33 African elephants and 23 Asian elephants and measured the distance (in kilometers) the elephants walked per day. The data in the file below Elephants contains results that are consistent with what the researchers found:

Species Distance: African 6.12 African 3.65 African 4.26 African 3.8 African 5.23 African 5.02 African 5.17 African 5.37 African 4.89 African 6.4 African 6.42 African 6.85 African 3.38 African 7.71 African 4.02 African 3.52 African 5.81 African 5.83 African 7.02 African 6.11 African 4.62 African 5.54 African 3.2 African 5.49 African 5.47 African 6.97 African 3.74 African 3.04 African 7.84 African 8.62 African 7.63 African 5.25 African 4.19 Asian 1.39 Asian 2.59 Asian 8.03 Asian 7.93 Asian 0.33 Asian 8.22 Asian 6.95 Asian 2.39 Asian 3.89 Asian 10.53 Asian 7.57 Asian 1.8 Asian 1.3 Asian 0.6 Asian 9.9 Asian 5.66 Asian 4.15 Asian 9.84 Asian 2.58 Asian 8.83 Asian 3.68 Asian 9.95 Asian 3.8

(a) Put the data in the Multiple Means applet to create a null distribution and from it calculate a standardized
statistic. Round answer to 2 decimal places, e.g. 0.29.
Standardized statistic =
i
eTextbook and Media
(b) Explain what your statistic from part (a) means in context.
The answer from part (a) represents the number of standard deviations that the difference between the
average distance traveled between elephants (African - Asian) is below 0.099.
The answer from part (a) represents the number of standard deviations that the difference between the
average distance traveled between elephants (African - Asian) is above 0.099.
The answer from part (a) represents the number of standard deviations that 0.099 (difference between
the average distance traveled between African elephants - Asian elephants) is below the mean of the null
distribution.
The answer from part (a) represents the number of standard deviations that 0.099 (difference between
the average distance traveled between African elephants - Asian elephants) is above the mean of the null
distribution.
eTextbook and Media
(c) Based on your statistic, is there strong evidence of a difference in distances between the two species of
elephants? Explain how you know.
Yes, there is strong evidence of a difference in the mean distance walked between the Asian and African
elephants because the standardized statistic is close to 0.
Yes, there is strong evidence of a difference in the mean distance walked between the Asian and African
elephants because the standardized statistic is greater than 2.
No, there is not strong evidence of a difference in the mean distance walked between the Asian and
African elephants because the standardized statistic is close to 0.
No, there is not strong evidence of a difference in the mean distance walked between the Asian and
African elephants because the standardized statistic is greater than 2.

Accepted Answer

The table describes the values with mean and standard deviation of African and Asian Elephants:…

(a) Put the data in the Multiple Means applet to create a null distribution and from it calculate a standardizec statistic. Round answer to 2 decimal places, e.g. 0.29. Standardized statistic = eTextbook and Media