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Need Help with Stats Homework!?
From n=20 observations on escape time (sec) for oil workers in a simulated exercise, the sample mean is 371 and the true standard deviation is 24.5. Test the claim that the true average time would be greater than 6 min using significance level of 0.01.
a) Specify the hypothesis
b) Find the acceptance region
c) Computer the value of test statistic
d) Make a decision
1 Answer
- 1 decade agoFavorite Answer
a) Ho:(Null Hypothesis) Mean < 6min(360sec) or Mean = 6min(360 sec) gives an equivalent test
H1:(Alternative Hypothesis): Mean > 6min(360sec)
b) In N(0,1) acceptance region is Z<2.326 or xbar < 372.74
c) Test statistic = [371-360]/(24.5/(20^1/2))= 2.008
d) Fail to Reject Ho. Ie. Not sufficient data to suggest that the avg time is greater than 6min
