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Use the Spearman Rank Correlation Coefficient to Determine Whether the Correlation

question 60

Essay

Use the Spearman rank correlation coefficient to determine whether the correlation between the given variables is
significant. Be sure to do the following: Identify the claim mathematically and state the null and alternative hypotheses.
Determine the critical value and find the test statistic. Decide whether to reject or fail to reject the null hypothesis and
interpret the decision in the context of the original claim.
-The ages and systolic blood pressures of 9 randomly selected adults are given below. Can you conclude that
there is a correlation between age and blood pressure? Use α\alpha = 0.05.  Age 384145485153576165 Blood Pressure (mmHg)116120123131142145148150152\begin{array} { l | c c c c c c c c c } \text { Age } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \\\hline \text { Blood Pressure } ( \mathrm { mm } \mathrm { Hg } ) & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152\end{array}


Definitions:

Indirection Operator

A symbol used in programming (commonly the asterisk * in C/C++) to access the value at a memory address pointed to by a pointer variable.

Pointer

A variable in C and C++ that stores the memory address of another variable, allowing for direct memory manipulation.

Pointer Constant

A pointer whose address value cannot be changed after it is initialized.

Compiler

A compiler is a program that converts source code written in a high-level programming language into machine code that can be executed by a computer's CPU.

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