The standard deviation of the lifespan of a certain brand of LED light bulbs Is 20 months. The quality control department at this company takes a random sample of 70 LED light bulbs and finds the mean tifespan of sample is 147 months. What is the probability that this sample mean is within 3 months of the mean of all light bulbs produced by the company? Round the solution to four decimal places, if necessary. P(z within 3 months of u) %3D Question Help: O Video Submit Question

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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The standard deviation of the lifespan of a certain brand of LED light bulbs is 20 months. The quality
control department at this company takes a random sample of 70 LED light bulbs and finds the mean
tifespan of sample is 147 months. What is the probability that this sample mean is within 3 months of the
mean of all light bulbs produced by the company? Round the solution to four decimal places, if necessary.
P(z within 3 months of u)
%3D
Question Help: O Video
Submit Question
Transcribed Image Text:The standard deviation of the lifespan of a certain brand of LED light bulbs is 20 months. The quality control department at this company takes a random sample of 70 LED light bulbs and finds the mean tifespan of sample is 147 months. What is the probability that this sample mean is within 3 months of the mean of all light bulbs produced by the company? Round the solution to four decimal places, if necessary. P(z within 3 months of u) %3D Question Help: O Video Submit Question
According to recent research, 51% of Americans have less than $400 in the bank for an emergency. Let p be
the proportion of people who have less than $400 in the bank for an emergency in a random sample of 100
Americans.
Determine the probability that the proportion of people in a random sample of 100 Americans who have
less than $400 in the bank for an emergency is within 9% of the population proportion. Round the solution
to four decimal places.
P(p within 9% of the population proportion)
%3D
Determine the probability that the proportion of people in a random sample of 100 Americans who have
less than $400 in the bank for an emergency is less than the population proportion by 6% or more. Round
the solution to four decimal places.
P(p less than the population proportion by 6% or more)
Question Help: OVideo 1 D Video 2
Submit All Parts
Transcribed Image Text:According to recent research, 51% of Americans have less than $400 in the bank for an emergency. Let p be the proportion of people who have less than $400 in the bank for an emergency in a random sample of 100 Americans. Determine the probability that the proportion of people in a random sample of 100 Americans who have less than $400 in the bank for an emergency is within 9% of the population proportion. Round the solution to four decimal places. P(p within 9% of the population proportion) %3D Determine the probability that the proportion of people in a random sample of 100 Americans who have less than $400 in the bank for an emergency is less than the population proportion by 6% or more. Round the solution to four decimal places. P(p less than the population proportion by 6% or more) Question Help: OVideo 1 D Video 2 Submit All Parts
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