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 0.05 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?
737 629 1192 569 567 470
Solutions
Expert Solution
necessary calculation table:-
| hic (x) | x2 |
| 737 | 543169 |
| 629 | 395641 |
| 1192 | 1420864 |
| 569 | 323761 |
| 567 | 321489 |
| 470 | 220900 |
| sum=4164 | sum=3225824 |
sample size (n) = 6
hypothesis:-
the test statistic is:-
df = (n-1) = (6-1) = 5
p value be:-
[ in any blank cell of excel type =T.DIST(-2.891,5,TRUE)
press enter]
decision:-
p value = 0.0171 < 0.05 (alpha)
so, we reject the null hypothesis.
conclusion:-
there is sufficient evidence to suggest that all of the child booster seats meet the specified requirement at 0.05 level of significance.
***in case of doubt, comment below. And if u liked the solution, please like.
orchestra answered 2 years agoRelated Solutions
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