A Psychologist Would Like to Evaluate the Relationship Between Verbal

question 1

Essay

A psychologist would like to evaluate the relationship between verbal skills as measured by the Scholastic Achievement Test (SAT)and performance on an anagram task.(Anagrams are words with the letters scrambled.The task is to unscramble the letters and identify the word.)Each subject is given a set of 10 anagrams,and the psychologist records how much time is needed to solve all 10.The anagram times and each subject's SAT score are as follows.(Note that two subjects failed to complete all 10 anagrams.)Use a Spearman correlation to measure and describe the relationship between SAT and anagram performance.
$$\begin{array} { c c c } { \text { Aubject } } & \text { Time } & \text { SAT } \\\text { Score } \\\hline 1 & 104 & 480 \\2 & 195 & 410 \\3 & 50 & 590 \\4 & 93 & 510 \\5 & \text { failed } & 420 \\6 & 170 & 460 \\7 & \text { failed } & 380 \\8 & 67 & 570 \\9 & 45 & 640 \\10 & 58 & 600\end{array}$$

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Definitions:

Stocks

Financial instruments representing ownership interests in corporations, providing holders with a claim on part of the corporation's assets and earnings.

Mean

The arithmetic average of a set of numbers, calculated by adding them all up and dividing by the count of the numbers.

Variance

The average of the squared differences from the Mean, providing a measure of how spread out a data set is.

Expected Value

The weighted average of all possible values that a random variable can take on, weighted by the probabilities of those values.