SOLUTION: The data given below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults. Subject # 1 2 3 4 5 6 7 8 9 Age, x 41 44 48

Question 197672:
The data given below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.
Subject # 1 2 3 4 5 6 7 8 9
Age, x 41 44 48 51 54 56 60 64 68
Pressure, y 111 115 118 126 137 140 143 145 147
Part 1 (): Find the mean age of the 9 randomly selected adults. Show the formula that you will use and then calculate the mean age.
Answer: Formula:
Mean:
Part 2 (
): Interpret the type of correlation by completing the table and calculating the correlation coefficient r rounded to the nearest three decimal places. Interim rounding should be four decimal places.

x y xy x2 y2
41 111
44 115
48 118
51 126
54 137
56 140
60 143
64 145
68 147

Use the last row of the table to show the column totals.
n = 9

Interpret the type of correlation: The correlation is high positive correlations. This means as a person ages, systolic blood pressure will increase.
Part 3 (30 points): Using the r calculated, test the significance of the correlation coefficient using  = 0.01 and the claim  = 0. Design the test using the 7-steps hypothesis test.
Answer:
1. H0 :  = 0
Ha : 
2. significance = 0.01
3. Find the test statistic t.
4. Find the critical t0
5. Define the rejection region.
6. State the statistical decision.
7. Application

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The data given below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.
Subject # 1 2 3 4 5 6 7 8 9
Age, x 41 44 48 51 54 56 60 64 68
Pressure, y 111 115 118 126 137 140 143 145 147
Part 1 (): Find the mean age of the 9 randomly selected adults. Show the formula that you will use and then calculate the mean age.
Answer: Formula:
Mean:
Part 2 (
): Interpret the type of correlation by completing the table and calculating the correlation coefficient r rounded to the nearest three decimal places. Interim rounding should be four decimal places.

x y xy x2 y2
41 111
44 115
48 118
51 126
54 137
56 140
60 143
64 145
68 147

Use the last row of the table to show the column totals.
n = 9

Interpret the type of correlation: The correlation is high positive correlations. This means as a person ages, systolic blood pressure will increase.
Part 3 (30 points): Using the r calculated, test the significance of the correlation coefficient using  = 0.01 and the claim  = 0. Design the test using the 7-steps hypothesis test.
Answer:
1. H0 :  = 0
Ha : 
2. significance = 0.01
3. Find the test statistic t.
4. Find the critical t0
5. Define the rejection region.
6. State the statistical decision.
7. Application
--------------------------------
Comment: Parts #1 and #2 are straight arithmetic.
Are you having trouble with them?
Part 3 is a hypothesis test of r = 0
Are you able to get that testing started?
I could help you with this question but it
seems there are large parts you could do yourself.
-------------------------------------
Cheers,
Stan H.

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