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Bags of a certain brand of tortilla chips claim to have a net weight of 14oz. Net weights actually vary slightly from bag to bag and are normally distributed with mean u. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hyportheses
Ho: u=14, Ha: u<14
using a 5% significane level. To do this, he selects 16 bags of this brand at random, determines the net weight of each, and computes the mean of these 16 weights with the sample standard deviation, s= 0.25. ( Assuming the standard deviation for the distribution of actual net weights for bags of this brand is equal to s= 0.25) the power of our test when u= 13.8 oz. is approximately:
a) 0.975
b) 0.93
c) 0.2119
d) 0.0007
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