Question

data set lists earthquake depths. The summary statistics are n equals=600 x =5.36 ​kms equals=4.334.33 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.

Answer 1

Solution:

This is a two tailed test.

The null and alternative hypothesis is,

Ho: 5

Ha: 5

The test statistics,

t =( - )/ (s /n)

= ( 5.36 - 5 ) / ( 4.33 / 600 )

= 2.037

P-value = 0.042

The p-value is p = 0.042 > 0.01, it is concluded that fail to reject the null hypothesis .

There is not sufficient evidence to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00. at 0.01 level of significance.