A data set lists earthquake depths. The summary statistics are n= 600, x = 4.31 km, s= 4.19 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 4.00. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

Hi Great Bartleby Team,

I need asap help for this exercise, Please answer all the parts of the exercise. Thanks a lot in advance.

The last sentence's options are ( Reject/ Fail to reject) (Sufficient / Not sufficient) (Is / Is not)

A data set lists earthquake depths. The summary statistics are \( n = 600 \), \( \bar{x} = 4.31 \) km, \( s = 4.19 \) 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 4.00. 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.

**What are the null and alternative hypotheses?**
- **A.** \( H_0: \mu \neq 4.00 \) km
  \( H_1: \mu = 4.00 \) km
- **B.** \( H_0: \mu = 4.00 \) km
  \( H_1: \mu \neq 4.00 \) km
- **C.** \( H_0: \mu = 4.00 \) km
  \( H_1: \mu > 4.00 \) km
- **D.** \( H_0: \mu = 4.00 \) km
  \( H_1: \mu < 4.00 \) km

**Determine the test statistic.**
(Round to two decimal places as needed.)

**Determine the P-value.**
(Round to three decimal places as needed.)

**State the final conclusion that addresses the original claim.**

\( H_0 \): There is [Dropdown: sufficient/insufficient] evidence to conclude that the mean of the population of earthquake depths is 4.00 km [Dropdown: correct/not correct].
Transcribed Image Text:A data set lists earthquake depths. The summary statistics are \( n = 600 \), \( \bar{x} = 4.31 \) km, \( s = 4.19 \) 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 4.00. 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. **What are the null and alternative hypotheses?** - **A.** \( H_0: \mu \neq 4.00 \) km \( H_1: \mu = 4.00 \) km - **B.** \( H_0: \mu = 4.00 \) km \( H_1: \mu \neq 4.00 \) km - **C.** \( H_0: \mu = 4.00 \) km \( H_1: \mu > 4.00 \) km - **D.** \( H_0: \mu = 4.00 \) km \( H_1: \mu < 4.00 \) km **Determine the test statistic.** (Round to two decimal places as needed.) **Determine the P-value.** (Round to three decimal places as needed.) **State the final conclusion that addresses the original claim.** \( H_0 \): There is [Dropdown: sufficient/insufficient] evidence to conclude that the mean of the population of earthquake depths is 4.00 km [Dropdown: correct/not correct].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman