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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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nisha nisha
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Use the following to answer the questions below:

A biologist collected data on a random sample of porcupines. She wants to estimate the correlation between the body mass of a porcupine (in grams) and the length of the porcupine (in cm).


The biologist noted that two of the porcupines were much smaller than the others, and thus they were likely not "adults". Since she is only interested in adult porcupines, the biologist wants to use the 18 adults to estimate the correlation between body mass and body length. The sample correlation is 0.407. Her bootstrap distribution is provided. The standard error is estimated to be 0.165.

A dotplot depicts the results of bootstrap distribution. The horizontal axis has markings  from negative 0.4 to 0.8 in increments of 0.2. The vertical axis ranges from 0 to 40 in increments of 10. A series of dots is plotted vertically for certain markings on the horizontal axis. The plotted dots are approximately bell shaped. The series of dots begin at negative 0.36 on the horizontal axis. The heights of the dots increase gradually with a few ups and downs and reach the peak of 39 at 0.44 on the horizontal axis. Then, the heights of dots decrease gradually with a few ups and downs and end at 0.88 on the horizontal axis. An arrow from the value 0.403 which is below the horizontal axis points upward to the point, 0.0403 on the horizontal axis. All values are approximate.

If appropriate, construct and interpret a 95% confidence interval for the correlation between body mass and body length for adult porcupines (with the margin of error rounded to three decimal places). If not appropriate, explain why not.
Textbook 
Statistics: Unlocking the Power of Data

Statistics: Unlocking the Power of Data


Edition: 3rd
Authors:
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twnklstrtwnklstr
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