A manufacturer produces a commodity where the length of the commodity has approximately normaldistribution with a mean of 13.4 inches and standard deviation of 1.8 inches.If a sample of 34 items are chosen at random, what is the probability the sample's mean length is greaterthan 14.2 inches? Round answer to four decimal places.

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Answered: A manufacturer produces a commodity…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
The cost of textbooks is normally distributed with a mean of $204. You do not know the population standard deviation, but you know the sample standard deviation to be $40.What is the probability that from a sample of 5 textbooks, their average cost will be less than $248? (Report answer accurate to three decimal places.)
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. What is the probability that the sample mean is less than 163? Give your answer to four decimal places.
Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4 and a mean diameter of 209 inches. If 69 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches? Round your answer to four decimal places. use ti 84 device
The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. The probability is 0.70 that the sample mean will be between what two values (symmetrically centered on the population mean)?
The average height of women is 64 inches. The standard deviation is 2 inches. The heights have a normal distribution. Find the probability that a randomly selected woman is shorter 59 inches or taller than 68 inches.
The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is under 1615 sq. ft. (round z to 2 decimal places & probability to 4 decimal places)? z = probability =
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.7 feet and a standard deviation of 0.3 feet. A sample of 70 men’s step lengths is taken. Step 2 of 2 : Find the probability that the mean of the sample taken is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
Suppose a batch of steel rods produced at a steel plant have a mean length of 178 millimeters, and a standard deviation of 12 millimeters. If 76 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.56 millimeters? Round your answer to four decimal places.
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.32 feet and a standard deviation of 0.40 feet. A sample of 83 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds

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