Yvon Hopps ran an experiment to determine optimum power and time settings for microwave popcorn. His goal was to find a combination of power and time that would deliver high-quality popcorn with less than 10% of the kernels left unpopped, on average. After experimenting with several bags, 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. The data below report the percentages of uncooked popcorn. 2.9 2.8 5.2 6.7 7.0 7.8 10.8 13.2 (a) Using a computer or calculator, calculate the sample mean and the sample standard deviation s. Clearly indicate which quantity is which using the correct symbols and round your answers to two decimal places, if necessary. (b) What percent of unpopped kernels is 3 standard deviations above the mean?
Yvon Hopps ran an experiment to determine optimum power and time settings for microwave popcorn. His goal was to find a combination of power and time that would deliver high-quality popcorn with less than 10% of the kernels left unpopped, on average. After experimenting with several bags, 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. The data below report the percentages of uncooked popcorn.
|
2.9 |
2.8 |
5.2 |
6.7 |
7.0 |
7.8 |
10.8 |
13.2 |
(a) Using a computer or calculator, calculate the sample mean and the sample standard deviation s. Clearly indicate which quantity is which using the correct symbols and round your answers to two decimal places, if necessary.
(b) What percent of unpopped kernels is 3 standard deviations above the mean?
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