How many unpopped kernels are left when you pop a bag of microwave popcorn? Quality control personnel at Yummy Popcorn take a random sample of 80 bags of popcorn.They pop each bag in a microwave and then count the number of unpopped kernels.The following interval is produced: t-interval for μ : with 99% Confidence,
11

Question

How many unpopped kernels are left when you pop a bag of microwave popcorn? Quality control personnel at Yummy Popcorn take a random sample of 80 bags of popcorn.They pop each bag in a microwave and then count the number of unpopped kernels.The following interval is produced: t-interval for μ : with 99% Confidence,
11 < μ(unpopped)< 25

Quizplus · Accepted Answer

This statement correctly represents the interpretation of the given confidence interval. It implies that if we take many random samples of 80 bags of Yummy Popcorn and compute the confidence intervals, about 99% of them will contain the true population mean of unpopped kernels. Therefore, we can be 99% sure that the true population mean lies between 11 and 25 unpopped kernels in a bag of Yummy brand popcorn. Option A is too narrow and does not account for the uncertainty in the sample estimate. Option C is too broad as it states the average number of unpopped kernels in microwave popcorn bags, whereas the data is only collected from Yummy Popcorn. Option D is incorrect as it pertains to all samples, not just Yummy Popcorn, and is also too strong to make such a claim. Option E is incorrect as it refers to the sampled bags, whereas we are interested in the true population mean.

How Many Unpopped Kernels Are Left When You Pop a Bag