[See] Weight of a watermelon in Snoopy's farm at Daisy Hill follows normal distribution with mean 10 lb and standard deviation 1.5. On day, Spike stole
Question: Weight of a watermelon in Snoopy's farm at Daisy Hill follows normal distribution with mean \(10 \mathrm{lb}\) and standard deviation 1.5. On day, Spike stole 25 watermelons.
- Find the probability that the average weight of stolen watermelons is less than \(9.7 \mathrm{lb}\).
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Find the conditional probability that the average weight of stolen watermelons is greater than \(9.4 \mathrm{lb}\) given that it is less than \(9.7 \mathrm{lb}\).
C) Under the same situation of Problem 4, find the 99 percent confidence interval for the population mean \(\mu\) based on stolen watermelons.
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