Answer:
Given the equations:
.....[1]
....[2]
Substitute the value of x in [1] we get;'
Use identity:
Combine like terms;
Subtract 36 from both sides we get;
By zero product property, we get;
y = 0 and
Substitute these y values in [2] to get x values;
For y = 0 we have;
x = 2(0) +6 = 0+6 = 6
For x = -4.8
x = 2(-4.8)+6 = -9.6 + 6 = -3.6
Therefore, the solution for the given equations are; (6, 0) and (-3.6, -4.8)
The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
<h3>Test Statistic</h3>The test statistic can be calculated using the formula below
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
Using the data from the test statistic, we can calculate the p-value of the data
From the calculation above, the test statistic and p-value of the given data are
Learn more on test statistic and p-value here;