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using a sample mean to estimate population mean bag of apples | average…

Question

using a sample mean to estimate population mean
bag of apples | average apple weight (lbs)
1 | 0.9
2 | 1.0
3 | 0.8
4 | 1.2
5 | 0.9
rita wants to know the average weight of each apple in an 8 - pound bag of apples. she purchased 5 bags and found the average apple weight. using her results, an apple from an 8 - pound bag of apples should weigh between:
○ 0 lbs and 0.9 lb.
○ 1.0 lb and 1.2 lbs.
○ 0.8 lb and 1.2 lbs.
○ 0.8 lb and 0.9 lb.

Explanation:

Step1: Identify min and max sample values

The sample average weights are: 0.9, 1.0, 0.8, 1.2, 0.9. The minimum value is 0.8 lbs, the maximum is 1.2 lbs.

Step2: Match to the correct range

The range that covers all sample values (and thus estimates the population mean's plausible interval) is between the smallest and largest sample averages.

Answer:

0.8 lb and 1.2 lbs.