Candi ran an experiment to test optimum power and time settings for microwave po

Question

Candi ran an experiment to test optimum power and time settings for microwave popcorn. Her goal was to deliver popcorn with fewer than 14 % of the kernels left unpopped, on average. She determined that power 9 at 4 minutes was the best combination. To be sure that the method was successful, she popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels shown below. 12.8, 13.2, 7.9, 10.9, 4.9, 11.5, 13.2, 12.3. Calculate the test statistic and p-value.

Explanation / Answer

here null hypothesis:mean >=14

alternate hypothesis: mean<14

as p value is less tehn 0.05 level we reject null hypothesis and conclude that the method was successful,

X 12.8 13.2 7.9 10.9 4.9 11.5 13.2 12.3 mean(X) 10.838 std deviation(S) 2.964 std error =S/(n)1/2 1.048 test stat t=(X-mean)/std error -3.018 p value 0.010

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