Provide an appropriate response. A random sample of 200 men aged between 20 and

Question

Provide an appropriate response. A random sample of 200 men aged between 20 and 60 was selected from a certain city. The linear correlation coefficient between income and blood pressure was found to be r = 0.915. Does this imply a strong correlation between income and blood pressure? Does this suggest that if a man gets a salary raise it will cause his blood pressure to rise? Why or why not? What are likely lurking variables? Calculate the mean, median, and mode for the following sample: 5, 10, 6, 11, 3, 3, 10, 3.

Explanation / Answer

Ans:

10)Sorted Data Set: 11, 10, 10, 6, 5, 3, 3, 3

Mean=(11+10+10+6+5+3+3+3)/8=51/8=6.375

Mode=3

Median is below which 50% of the data falls,so median falls between 6 and 5,hence

median=(6+5)/2=5.5

9)A positive correlation exists between income and blood pressure but this is an example of correlation not causation. An increase in salary is unlikely to lead to an increase in blood pressure. Age and level of job stress are possible lurking variables and these lurking variables account for the positive correlation. Older men tend to have both higher blood pressures and higher incomes. Also men in high stress jobs tend to have both higher blood pressures and higher incomes.

(Lurking variables:A well-designed experiment includes design features that allow researchers to eliminate extraneous variables as an explanation for the observed relationship between the independent variable(s) and the dependent variable. These extraneous variables are called lurking variables.)

Mean: 6.375 Median: 5.5 Range: 8 Mode: 3, appeared 3 times Largest: 11 Smallest: 3 Sum: 51 Count: 8

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