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.