Bags checked for a certain airline flight have a mean weight of 17 kg with a standard deviation of 6 kg. A random sample of 50 bags is drawn. a. What is the probability that the sample mean weight is less than 15 kg? b. How many bags must be sampled so that the probability is 0.02 that the sample mean weight is less than 16 kg?
Bags checked for a certain airline flight have a mean weight of 17 kg with a standard deviation of 6 kg. A random sample of 50 bags is drawn. a. What is the probability that the sample mean weight is less than 15 kg? b. How many bags must be sampled so that the probability is 0.02 that the sample mean weight is less than 16 kg?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Bags checked for a certain airline flight have a
standard deviation of 6 kg. A random sample of 50 bags is drawn.
a. What is the probability that the sample mean weight is less than 15 kg?
b. How many bags must be sampled so that the probability is 0.02 that the
sample mean weight is less than 16 kg?
c. Find the 40th percentile of the sample mean weights.
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