Adata set lists earthquake depths. the summary statistics are nequals300, x overbarequals5.89 km, sequals4.44 km. use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. assume that a simple random sample has been selected. identify the null and alternative hypotheses, test statistic, p-value, and state the final conclusion that addresses the original claim.

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.

2 x t divided by n

step-by-step explanation: