Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 744 664 1099 581 535 595 O ...... What are the hypotheses? O A. Hg: u> 1000 hic B. Ho: µ= 1000 hic H1: p2 1000 hic H1:µ< 1000 hic . H μ= 1000 hic Ο D. H0 μ< 1000 hic H1: µ2 1000 hic H1: µ< 1000 hic Identify the test statistic. 3510 (Round to three decimal places as needed )

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%
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

Data: 744, 664, 1099, 581, 543, 535, 595

**What are the hypotheses?**

- A. \( H_0: \mu > 1000 \) hic    
     \( H_1: \mu < 1000 \) hic
- B. \( H_0: \mu = 1000 \) hic   
     \( H_1: \mu \ge 1000 \) hic
- **C. \( H_0: \mu = 1000 \) hic**  
     **\( H_1: \mu < 1000 \) hic**
- D. \( H_0: \mu < 1000 \) hic   
     \( H_1: \mu \ge 1000 \) hic

**Identify the test statistic:**

\( t = -3.510 \) (Round to three decimal places as needed.)

**Identify the P-value:**

The P-value is \(\_\_\_\) (Round to four decimal places as needed.)
Transcribed Image Text:Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? Data: 744, 664, 1099, 581, 543, 535, 595 **What are the hypotheses?** - A. \( H_0: \mu > 1000 \) hic \( H_1: \mu < 1000 \) hic - B. \( H_0: \mu = 1000 \) hic \( H_1: \mu \ge 1000 \) hic - **C. \( H_0: \mu = 1000 \) hic** **\( H_1: \mu < 1000 \) hic** - D. \( H_0: \mu < 1000 \) hic \( H_1: \mu \ge 1000 \) hic **Identify the test statistic:** \( t = -3.510 \) (Round to three decimal places as needed.) **Identify the P-value:** The P-value is \(\_\_\_\) (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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