In: Statistics and Probability
As a M.S. project, you are studying regeneration of eastern
temperate forests at the VCU Rice Rivers Center. One year ago, you
established a 5m x 5m (25 m2) plot, in which you
completely clear-cut the vegetation and have been monitoring tree
recruits since.
This year, while revisiting your plot, you recorded the following
measurements for the tree seedlings that have resprouted since your
experiment began.
0.63 |
0.59 |
0.73 |
0.61 |
0.53 |
0.57 |
0.54 |
0.65 |
0.52 |
0.77 |
0.72 |
0.39 |
0.44 |
1.29 |
0.49 |
0.34 |
0.88 |
0.7 |
0.44 |
0.93 |
0.54 |
0.53 |
0.77 |
0.52 |
0.29 |
0.93 |
0.5 |
0.7 |
0.64 |
0.59 |
*You will want to copy the dataset to your computer. Use Excel
to calculate answers, and use the z table in the back of
your book. Be cautious in entering your answers;
follow the directions for number of decimal places to
include.*
-The mean seedling height is:
_________ (I got 0.63)(enter a number only, to two
decimal points)
-The standard deviation of your
sample of seedlings is: __________ (I got 0.20) (enter a number
only, to two decimal points)
-If you measure an additional
seedling to be 0.71 m tall, the z-score for that seedling
is ____________(enter a number only, to two
decimal points)
-What proportion (between zero and one) of seedlings
in your plot are shorter than 0.71
m? ____________ (enter a number only, to
four decimal places)
When faced with a problem or choice, humans can use two different strategies: "cognitive reflectivity," which results in slower responses and few mistakes, or "cognitive impulsivity," which results in quicker responses but also more mistakes. Depending on the individual, these two strategies are used differently. A pilot experiment was conducted on 22 right-handed individuals who were administered a cognitive reflectivity-impulsivity questionnaire, while recording voxel-based morphometry (regional gray matter density) in the ventral medial prefrontal cortex.
Based on the experimental design and the kind of data collected, which statistical test(s) should be used to determine whether there is an association between the cognitive strategy, cognitive reflectivity and the gray matter density of the ventral medial prefrontal cortex? Select all that apply!
two sample t-test |
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t-test of zero linear correlation |
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z-test |
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correlation coefficient (r) |
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One-way ANOVA |