Yvon Hopps ran an experiment to determine the 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 9% of the kernels left un-popped, 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. All were of high quality, with the following percentages of uncooked popcorn: 7.9, 11.5, 8.2, 5.5, 4.8, 4.3, 3.2, 2.3. Does the 95% confidence interval suggest that he met his goal of an average of no more than 9% uncooked kernels? Explain.
Question content area bottom
Part 1
The 95% confidence interval for the true mean percentage of unpopped kernels is left parenthesis nothing % comma nothing % right parenthesis
.
(Round to two decimal places as needed. Use ascending order.)
Part 2
Does the 95% confidence interval suggest that he met his goal of an average of no more than 9% uncooked kernels? Explain.
The confidence interval
▼
contains
does not contain
is entirely below
is entirely above
9%, so the confidence interval
▼
suggests
does not suggest
that he met his goal.
