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.

rounding to the nearest thousandth would be 452,000

d

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~coco