**Title: Statistical Analysis of Child Booster Seat Safety**---**Introduction to Hypothesis Testing**In this section, we will examine how to conduct hypothesis testing using a sample from a normally distributed population. The goal is to test a specific claim about the population parameter, using given sample data.---**Scenario: Child Booster Seat Safety Evaluation**A safety administration conducted a series of crash tests on child booster seats for cars. The following data represents the results from those tests, with measurements given in HIC (Head Injury Criterion) units:- 696, 710, 1062, 602, 568, 496The safety requirement mandates that the HIC measurement should be less than 1000 HIC. We will use a 0.05 significance level to test the claim that the sample comes from a population with a mean less than 1000 HIC. From this test, we can determine whether the child booster seats meet the specified safety requirements.---**Formulating the Hypotheses**To conduct an accurate test, we need to establish our null hypothesis (H₀) and alternative hypothesis (H₁):Choices:- A. $ H_0: \mu = 1000 $ HIC $ H_1: \mu > 1000 $ HIC- B. $ H_0: \mu < 1000 $ HIC $ H_1: \mu \geq 1000 $ HIC- C. $ H_0: \mu = 1000 $ HIC $ H_1: \mu < 1000 $ HIC- D. $ H_0: \mu > 1000 $ HIC $ H_1: \mu < 1000 $ HICGiven that the safety requirement is for the mean HIC measurement to be less than 1000, the correct hypotheses are:- $ H_0: \mu = 1000 $ HIC (Null Hypothesis)- $ H_1: \mu < 1000 $ HIC (Alternative Hypothesis)This is because we are testing whether the mean HIC is significantly less than 1000.---**Next Steps in the Analysis**1. Calculate the sample mean ($\bar{x}$) and standard deviation (s) from the sample data.2. Determine the

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Description: **Title: Statistical Analysis of Child Booster Seat Safety**---**Introduction to Hypothesis Testing**In this section, we will examine how to conduct hypothesis testing using a sample from a normally distributed population. The goal is to test a spec

We have given that Sample size n =6 ,mu=100 hic We find from data Xbar=689 S=199.5384

Math

Statistics

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 0.05 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? 696 710 1062 602 568 496 D What are the hypotheses? O A. Ho: = 1000 hic O B. Ho: u< 1000 hic H,:µ2 1000 hic H,:u2 1000 hic OC. Ho: H = 1000 hic O D. Ho: u> 1000 hic H,:u< 1000 hic H,:u< 1000 hic

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 0.05 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? 696 710 1062 602 568 496 D What are the hypotheses? O A. Ho: = 1000 hic O B. Ho: u< 1000 hic H,:µ2 1000 hic H,:u2 1000 hic OC. Ho: H = 1000 hic O D. Ho: u> 1000 hic H,:u< 1000 hic H,:u< 1000 hic

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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