Solve -3x-2y=2, 9x-5y=-28 using the elimination method
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Answer:
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.
P-value = 0.04
Test statistic z=2.05
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the valve pressure is significantly different from 5.5 psi.
Then, the null and alternative hypothesis are:
The significance level is 0.02.
The sample has a size n=270.
The sample mean is M=5.6.
The standard deviation of the population is known and has a value of σ=0.8.
We can calculate the standard error as:
Then, we can calculate the z-statistic as:
This test is a two-tailed test, so the P-value for this test is calculated as:
As the P-value (0.04) is bigger than the significance level (0.02), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.