t= Phil ran an experiment to test optimum power and time settings for microwave

Question

t=

Phil ran an experiment to test optimum power and time settings for microwave popcorn. His goal was to deliver popcorn with fewer than 11% of the kernels left unpopped, on average. He determined that power 9 at 4 minutes was the best combination. To be sure that the method was successful, he 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 13.3, 13.3, 11.6, 5.1. 2.9, 9.4, 8.4, 6.9 Does this provide evidence that he met his goal of an average of fewer than 11% unpopped kernels? Use 0.05 as the P-value cutoff level

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 11
HA : < 11

Hypothesis test results:

Hence,

t = -1.592 [Rounded off to three decimal places]

Variable Sample Mean Std. Err. DF T-Stat P-value var5 8.8625 1.3425638 7 -1.5921031 0.0777

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