8. 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. 807, 754, 1332, 673, 598, 582. See examples we did in class in section 10.1 and use t-distribution to find the P-value. State the null and alternative hypotheses. Ho: Ha: Find the P-value: P-value =. Make your conclusion:

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**Crash Test Analysis of Child Booster Seats**

A safety administration conducted crash tests of child booster seats for cars. The results, measured in hic (head injury criterion units), are as follows: 807, 754, 1332, 673, 598, 582. The safety standard is that the hic measurement should be less than 1000 hic.

Using a significance level of 0.05, we will test the claim that the sample is from a population with a mean less than 1000 hic.

Refer to section 10.1 to see examples of using t-distribution to find the P-value.

**Hypothesis Testing:**

1. **State the Null and Alternative Hypotheses:**

   - **\( H_0 \):** The population mean is equal to 1000 hic (\( \mu = 1000 \)).
   - **\( H_a \):** The population mean is less than 1000 hic (\( \mu < 1000 \)).

2. **Find the P-value:**

   - Use a t-distribution to calculate the P-value.
   - **P-value =** __________

3. **Make Your Conclusion:**

   - Based on the P-value, determine whether to reject or fail to reject the null hypothesis.
Transcribed Image Text:**Crash Test Analysis of Child Booster Seats** A safety administration conducted crash tests of child booster seats for cars. The results, measured in hic (head injury criterion units), are as follows: 807, 754, 1332, 673, 598, 582. The safety standard is that the hic measurement should be less than 1000 hic. Using a significance level of 0.05, we will test the claim that the sample is from a population with a mean less than 1000 hic. Refer to section 10.1 to see examples of using t-distribution to find the P-value. **Hypothesis Testing:** 1. **State the Null and Alternative Hypotheses:** - **\( H_0 \):** The population mean is equal to 1000 hic (\( \mu = 1000 \)). - **\( H_a \):** The population mean is less than 1000 hic (\( \mu < 1000 \)). 2. **Find the P-value:** - Use a t-distribution to calculate the P-value. - **P-value =** __________ 3. **Make Your Conclusion:** - Based on the P-value, determine whether to reject or fail to reject the null hypothesis.
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