# Test the Null Hypothesis Using a Single-Sample Test

A cereal company claims that the average weight of its cereal packages is 14 ounces. Eight packages are tested and the weights given below are measured. Test the claim at α=.0.01

14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2

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... mean:

=(14.6 + 13.8 + 14.1 + 13.7 +14.0 + 14.4 +13.6 + 14.2)/ 8 = 14.05

3.Calculate the sample standard deviation:

s = sqrt [ 8 (14.62 + 13.82 + 14.12+ 13.72 +14.02 + 14.42 +13.62 + 14.22) - (112.4)2 / 8 (8-1) ]

= sqrt [ 8 (1580.06) - (112.4)2 / 56 ]

= sqrt [ (12640.48 - (112.4)2 )/ 56 ] = sqrt [ (6.72 )/ 56 ] =.12

4.calculate the t ...