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?
645645 602602 12201220 591591 579579 539539
b) Identify the test statistic.
c)Identify the P-value.
Solutions
Expert Solution
the necessary calculation table:-
| hic measurement (x) | x2 |
| 645 | 416025 |
| 602 | 362404 |
| 1220 | 1488400 |
| 591 | 349281 |
| 579 | 335241 |
| 539 | 290521 |
| sum=4176 | sum=3241872 |
sample size (n) = 7
a).hypothesis:-
b).test statistic be:-
c). df = (n-1 )= (6-1) = 5
p value :-
[ in any blank cell of excel type
=T.DIST(-2.875,5,TRUE)
type enter]
decision:-
p value = 0.0174 > 0.01 (alpha)
so, we fail to reject the null hypothesis.
we conclude that, there is not sufficient evidence to suggest that all of the child booster seats meet the specified requirement at 0.01 leval of significance.
***in case of doubt, comment below. And if u liked the solution, please like.
orchestra answered 1 year agoRelated Solutions
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