Mathematics, 28.12.2019 00:31 youugly0123
23. a certain type of gasoline is supposed to have a mean octane rating of at least 90. suppose measurements are taken on of 5 randomly selected samples, giving ratings of 89.7 89.4 87.4 89.8 88.5 assume that the distribution of ratings is in fact known to be normal, and that the true standard deviation /sigma is known to be 0.8
a) for the alternative hypothesis that the mean octane rating is less than 90 , compute the p-value.
b) for significance level 0.01, what do we conclude? if we made an error, is it type i or ii?
c) for a significance level 0.01 test and for a sampling of size 5, what is the probability of failing to conclude that the mean is less than 90, when in fact the true mean is 89?
d) if we are allowed to increase the sample size, what minimum size do we need so that the probability calculated in part c is 0.02 or less?
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23. a certain type of gasoline is supposed to have a mean octane rating of at least 90. suppose meas...
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