Lightbulbs: The lifetime of lightbulbs has a mean of 1500 hours and a standard deviation of 80 hours. A sample of 50 lightbulbs is tested. Use theCumulative Normal Distribution Table or technology. Round your answers to four decimal places.Part 1 of 3(a) What is the probability that the sample mean lifetime is greater than 1520 hours?The probability that the sample mean lifetime is greater than 1520 hours isPart: 1/3Part 2 of 3(b) What is the probability that the sample mean lifetime is less than 1540 hours?The probability that the sample mean lifetime is less than 1540 hours is

X is normally distributed with,Mean Standard deviation (a).P(mean of X greater than 1520) for n=50

Answered: Lightbulbs: The lifetime of lightbulbs…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040 . Assume that the standard deviation is $4900 . The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. Part 1 of 5 (a) What is the probability that the sample mean tax is less than $7800 ? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $7800 is 0.3121 . Part 2 of 5 (b) What is the probability that the sample mean tax is between $7500 and $8000 ? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7500 and $8000 is . Part 3 of 5 (c) Find the 30th percentile of the sample mean. Round the answer to at least two decimal places. The 30th percentile of the sample mean is $ .…
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198 with a standard devietion of 393 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use O Cumulative Normal.Distribution Table if needed. Round the answers to at least four decimal places. Part: 0/3 Part i of 3 (a) What is the probability that the sample mean cholesterol level is greater than 205? The probability that the sample mean cholesterol level is greater than 205 is
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040 . Assume that the standard deviation is $4900 . The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law. Part 1 of 5 (a) What is the probability that the sample mean tax is less than $7800 ? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $7800 is . Part 2 of 5 (b) What is the probability that the sample mean tax is between $7500 and $8000 ? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7500 and $8000 is . Part 3 of 5 (c) Find the 30th percentile of the sample mean. Round the answer to at least two decimal places. The 30th percentile of the sample mean is $ .…
Lightbulbs: The lifetime of lightbulbs has a mean of 1500 hours and a standard deviation of 100 hours. A sample of 100 lightbulbs is tested. Use the Cumulative Normal Distribution Table or technology. Round your answers to four decimal places.What is the probability that the sample mean lifetime is less than 1540 hours? The probability that the sample mean lifetime is less than 1540 hours is
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Plzz explain. Ty

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