Question

# The following sample data were obtained from different second-year medical students who took blood pressure measurements...

The following sample data were obtained from different second-year medical students who took blood pressure measurements of the same person. Conduct a formal hypothesis test to test for a linear correlation between the systolic and diastolic readings. Use a 0.05 significance level.

 Systolic 138 130 135 140 120 Diastolic 82 91 100 100 80

What is the value of r? Round to 3 decimal places.

 Systolic(x) Diastolic(y) 138 82 130 91 135 100 140 100 120 80

The formula for correlation is

= 0.585

Our null and alternative hypothesis are

against

where denotes the population correlation coefficient

The test statistic is

= 1.249

The P-value is

= 0.15 x 2

= 0.3

Since P-value > (= 0.05) we have failed to reject the null hypothesis at 0.05 level of significance.

Thus we cannot claim that there is a linear correlation between systolic and diastolic readings.

#### Earn Coins

Coins can be redeemed for fabulous gifts.