Rods are produced in large quantities in a factory. The masses of these rods are normally distributed with mean 250g and variance 9g. A random sample of 100 rods is selected. Find the probability that the mean mass of the rods in the sample will lie between 249g and 251g.
Rods are produced in large quantities in a factory. The masses of these rods are normally distributed with mean 250g and variance 9g. A random sample of 100 rods is selected. Find the probability that the mean mass of the rods in the sample will lie between 249g and 251g.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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![Rods are produced in large quantities in a factory. The masses of these rods are
normally distributed with mean 250g and variance 9g. A random sample of
100 rods is selected. Find the probability that the mean mass of the rods in the
sample will lie between 249g and 251g.
If the rods are produced in batches of n and a batch is selected at random, find
the least value of n such that the probability that the mean mass of the rods in
the batch will lie between 249g and 251g is greater than 0.95.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F792113aa-8952-4be0-b0a2-7328b30572ad%2Fceb1321c-1985-44c1-8d5c-a9e223867177%2Fhi8tr7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Rods are produced in large quantities in a factory. The masses of these rods are
normally distributed with mean 250g and variance 9g. A random sample of
100 rods is selected. Find the probability that the mean mass of the rods in the
sample will lie between 249g and 251g.
If the rods are produced in batches of n and a batch is selected at random, find
the least value of n such that the probability that the mean mass of the rods in
the batch will lie between 249g and 251g is greater than 0.95.
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