**Assumptions and Hypotheses Testing for Child Booster Seat Safety**Assume that a simple random sample has been selected from a normally distributed population and test the given claim. The objective is to identify the null and alternative hypotheses, determine the test statistic, the P-value, and state the final conclusion that addresses the original claim.A safety administration conducted crash tests on child booster seats for cars. The measurement results from those tests are provided in head injury condition units (hic). The safety requirement states that the hic measurement should be less than 1000 hic. Given a 0.01 significance level, test whether the sample comes from a population with a mean less than 1000 hic. Based on these results, do all child booster seats meet the specified requirement?### Test Results:- Measurements (in hic): 689, 693, 1303, 658, 574, 517### Hypotheses:- **Option A**: - \( H_0: \mu = 1000 \text{ hic} \) - \( H_1: \mu \ge 1000 \text{ hic} \) - **Option B**: - \( H_0: \mu > 1000 \text{ hic} \) - \( H_1: \mu < 1000 \text{ hic} \) - **Option C**: - \( H_0: \mu < 1000 \text{ hic} \) - \( H_1: \mu \ge 1000 \text{ hic} \)- **Option D** (Correct Answer): - \( H_0: \mu = 1000 \text{ hic} \) - \( H_1: \mu < 1000 \text{ hic} \)### Test Statistic:- Identify the test statistic, denoted as \( t \).- Round to three decimal places as needed.By conducting this test, the aim is to verify whether the child booster seats meet safety standards based on the provided statistical data.

Name: **Assumptions and Hypotheses Testing for Child Booster Seat Safety**A
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Description: **Assumptions and Hypotheses Testing for Child Booster Seat Safety**Assume that a simple random sample has been selected from a normally distributed population and test the given claim. The objective is to identify the null and alternative hypothese

Given that, Sample size n=6 Sample mean x¯=739 Sample standard deviation s=284.88Hypothesis: H0:μ=1000 (That is, the sample is not from a population with mean less than 1000 hic) H1:μ<1000 (That is, the sample is from a population with mean less than 1000 hic) Test statistic: t=x¯-μsn=739-1000284.886=-2.244

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Statistics

o 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? 689 693 1303 658 574 517 O What are the hypotheses? O A Ho: H= 1000 hic O B. Ho: µ> 1000 hic H1: u2 1000 hic H1: u< 1000 hic OC. Ho: H<1000 hic D. Ho: H= 1000 hic H1: u< 1000 hic H1: 2 1000 hic Identify the test statistic. t= (Round to three decimal places as needed.)

o 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? 689 693 1303 658 574 517 O What are the hypotheses? O A Ho: H= 1000 hic O B. Ho: µ> 1000 hic H1: u2 1000 hic H1: u< 1000 hic OC. Ho: H<1000 hic D. Ho: H= 1000 hic H1: u< 1000 hic H1: 2 1000 hic Identify the test statistic. t= (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

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