Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t
he 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 0.01 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? 755 735 1373 680 625 524
1 answer:
Answer:
Yes, the results show the child booster seat meets the specified requirement
Step-by-step explanation:
We will conduct a one sample hypothesis test. Our sample size of 6, so we will use t-distribution to find our critical values.
This is a left tailed test, with degrees of freedom being 5.
First we need the sample mean and standard deviation. See first attached photo for these calculations...
See attached photo 2 for the hypothesis test
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Answer:
a) cosθ =
Step-by-step explanation:
<u><em> Step(i):</em></u>-
Given point ( x , y ) = ( - 2 , 3 )
We know that the polar co-ordinates
x = r cos θ and y = r sinθ
where
<u><em>Step(ii)</em></u>:-
x = r cos θ
cosθ
cosθ =
cosθ =
The horizontal asymptote of the function is the minimum number of deer in the area.
- The equation of horizontal asymptote is:
- The horizontal asymptote means that, the number of deer will never be less than 40
The equation is given as:
Expand the numerator
Cancel out the common factor
Hence, the equation of horizontal asymptote is:
The horizontal asymptote means that, the number of deer will never be less than 40
Read more about horizontal asymptotes at: