Question
In: Statistics and Probability
Assume that a simple random sample has been selected from a normally distributed population and test...
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
0.010.01
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?
809
785
1250
644
638
638
Solutions
Expert Solution
H0: > 1000
H1:
< 1000
= 794
s = 236.395
The test statistic t = ()/(s/
)
= (794 - 1000)/(236.395/)
= -2.135
P-value = P(T < -2.135)
= 0.0429
Since the P-value is greater than the significance level (0.0429 > 0.01), so we should not reject the null hypothesis.
So there is not sufficient evidence to support the claim that the sample is from a population with a mean less than 1000 hic.
No, the results do not suggest that all of the child booster seats meet the specified requirement.
orchestra answered 1 year agoRelated Solutions
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