statistics

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On a standard anagram task, people successfully complete an average µ=26 anagrams with a standard deviation=4. This distribution is normal.

A researcher would like to demonstrate that the arousal from anxiety is distracting and will decrease task performance. A sample of n=14 anxiety-ridden participants is tested on the task.

The average number of anagrams solved is M=23.36. Do the anxiety-ridden participants show a decrease in task performance?

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