Question 14 Assuming the length of nails in a large box of 3-inch nails is normally distributed with mean of 3 inches with standard deviation 0.04 Use the Cumulative Z-Score Table to answer the following questions. • What is the probability that a randomly selected nail from the box is longer than 2.992 inches? Write your answers in decimal form using 4 decimal places. • What is the probability that a randomly selected nail from the box is between 3.002 and 3.004 inches? Write your answers in decimal form using 4 decimal places. • If the manufacturer intends to discard the bottom 3.59% and the top 3.59% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded? Round your answers to two decimal places. Hint Low-end: inches High-end: inches

Question 14 Assuming the length of nails in a large box of 3-inch nails is normally distributed with mean of 3 inches with standard deviation 0.04 Use the Cumulative Z-Score Table to answer the following questions. • What is the probability that a randomly selected nail from the box is longer than 2.992 inches? Write your answers in decimal form using 4 decimal places. • What is the probability that a randomly selected nail from the box is between 3.002 and 3.004 inches? Write your answers in decimal form using 4 decimal places. • If the manufacturer intends to discard the bottom 3.59% and the top 3.59% of nails, in terms of their lengths, what would be the cut-off lengths for nails to be discarded? Round your answers to two decimal places. Hint Low-end: inches High-end: inches

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In the entire population of a certain type of tree, the mean height of the trees is μ = 168.8 ft and the standard deviation is σ = 43.6 ft. You collect a random sample of n=22 trees. The distribution of these sample means is shown below. Each tick mark on the horizontal axis is a distance of one more standard error. Complete the indicated boxes, correct to two decimal places. mean of distribution=168.8 standard error=9.30 Note: The left box is 2 standard errors below the mean. The middle box is the mean. The right box is 2 standard errors above the mean.
> Question 4 The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N( b. For the group of 7, find the probability that the average hand length is more than 188. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O No Yes Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For ns [+] Hint Submit Question 40 % $ R 5 16 T 4- ^ 6 4+ Y 90 & BA 7 * U 19 144 8 ly 1 tio C I DII 9 DDI O P A
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