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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コ, ● Question 17 A distribution of values is normal with a mean of 139.3 and a standard deviation of 37.8. Find P. which is the score separating the bottom 64% from the top 36%. 64 PeA Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z or z-scores rounded to 3 decimal places are accepted.
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
Scores from the midterm statistics exam followed a normal distribution with a mean of 69 and a standard deviation of 10. If a student had to score at least an 93 to earn an A, what is the probability that a student earned an A? (Use a table or technology. Round your answer to four decimal places.)
Now suppose that the true mean exposure time is different from 8h/day, yet the sample mean falls in the acceptance region. In this case we would fail to reject H0 when it is false. This type of wrong conclusion is called a A. type II error B. type I error C. no error D. statistically significant
This is for statistics
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm 150 142 120 131 167 160 179 156 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Hd = 0 H₁: Hd 0 Since the P-value is than the significance level, the null hypothesis. There sufficient evidence to support the claim of a difference in measurements between the two arms.
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The overhead reach distances off adult female are normally distributed with a mean off 200 cm and a standard deviation of 8.6 cm a.Find the probability that an individual distance is greater than 209.30 cm d.Find the probability that the mean for 20 random selected distance is greater than 198.70 cm
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mg and a standard deviation of 0.4 dL mg . Individuals with calcium levels in the bottom dL Calcium levels in people are normally distributed with a mean of 9.4 15% of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. mg dL