How do I come up with s (sample mean), given the info below? Assume that a simpl
ID: 3156046 • Letter: H
Question
How do I come up with s (sample mean), given the info below?
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, critical value(s). 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 hie (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? 697 759 1266 621 569 432
What are the hypotheses
Identify the test statistic
Identify the P-value.
The critical value(s) is(are)
State the final conclusion that addressses the original claim
What do the results suggest about the child booster seats eeting the specific requirement?
Explanation / Answer
a)the null hypothesis = H0 = U = 1000
THE ALTERNATE HYPOTHESIS = Ha= u <1000
b)data = 697 759 1266 621 569 432
we need to find the mean and the standard deviation of the data
the test static = (x-mean)/(standard deviation/sqrt(n))
= (724 - 1000)/(288.31/sqrt(6))
= -2.34
c) we need to find the p value from ttable
as degrre of freedom = 6-1 = 5
alpha = 0.05
therefpre from t table the p value = 0.0331
d) the critical region
for defree of freedom = 5
alpha = 0.05
t<-2.015
e) as the t score is less then the critical region we will reject the null hypothesis.
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