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? 748. 796. 1196 650 594. 636
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 1000
Alternative Hypothesis, Ha: μ < 1000
This is left tailed test, for α = 0.05 and df = 5
Critical value of t is -2.015.
Hence reject H0 if t < -2.015
t = (xbar - mu)/(s/sqrt(n))
t = (770 - 1000)/(221.7963/sqrt(6))
t = -2.54
P-value = 0.0259
As P-value < 0.05, reject the null hypothesis.
There is sufficient evidence to conclude that the hic measurement should be less than 1000 hic
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