Answer:
x=-2.25,y=-2.25
Step-by-step explanation:
The given system is
We want to solve the system for x and y that makes the system true.
Let us multiply the first equation by 3 while maintaining the second equation:
Subtract the current second equation from the first one.
Divide through by 12:
From the second equation we have:
This implies that:
Answer:
Null hypothesis
Alternative hypothesis
The p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.
Step-by-step explanation:
It is given that a data set lists earthquake depths. The summary statistics are
Level of significance = 0.01
We need to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00.
Null hypothesis
Alternative hypothesis
The formula for z-value is
The p-value for z=3.4719 is 0.000517.
Since the p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.