The strengths of individual bars made by a certainmanufacturing process are approximately normallydistributed with mean 28.4 and standard deviation 2.95(in appropriate units). To ensure safety, a customerrequires at least 95% of the bars to be stronger than24.0.a.) Do the bars meet specifications? (That is, are thereat least 95% of bars exceeding 24.0?)b.) By improved manufacturing techniques themanufacturer can make the bars more uniform(that is, decrease the standard deviation). Whatvalue of the standard deviation will just meet thecustomer's specification if the mean stays thesame?

Answered: Image /qna-images/answer/ece1b6cb-20d8-40cb-9743-cf37bde62ff0.jpg

Answered: The strengths of individual bars made…

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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find the standard deviation for: 25% of students who took an examination scored more than 73 in an examination. if the mean examination score is 63. the length of a fully grown plant has a mean of 35cm. 5% of these plants are longer than 45 cm Show all workings.
Can you answer c,d, and e please
2. 1 (your instructor) am 66" tall. Assume that the population mean for adult males is 70" with a standard deviation of 2.5". What is the percentile of my height for adult males
Analyze the following data. Assume the true value of L (the length of a table) is 93.40cm. L(cm) 93.2 93.3 93.9 92.8 93.5 93.4 92.9 a) What are the mean and standard deviation of this data sample? b) What is the uncertainty of the mean? c) Report the measured value of L. d) What is the relative discrepancy between the measured value of L and its true value? Suppose you have a second set of data for the same quantity that gives the following result: L = (93.90 ± 0.02) cm. e) Is this value more or less precise than the first value? f) Is this value more or less accurate than the first value? g) Do the two values agree given their uncertainties? h) What is the relative discrepancy between the two values?
a standarized reading exam has a mean score of 80 with standard deviation =12. the distribution of scores i normal. Find the percentage of test takers who got: a) under 80 b) between 68 and 92 c) over 100 d) over 25 e) what is the 40th percentile?
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75
The annual rainfall in a certain region is approximately normally distributed with mean 37 inches and standard deviation 5.3 inches. Use the Cumulative Z-Score Table to answer the questions below. Write your answers as a percent with two decimal places. Hint a) What percentage of years will have an annual rainfall of less than 44.42 inches? % b) What percentage of years will have an annual rainfall of more than 34.88 inches? % c) What percentage of years will have an annual rainfall of between 31.7 inches and 39.915 inches? %
1) The speed of 100 cars was measured on a road with a speed limit of 90 km/h. The data was found to be approximately normal with a mean of 88 km/ h and standard deviation of 1.0km/h. a) How many cars were driving at a speed between 87km/h and 89km/h? b) How many vehicles were fined between 90km/h and 91km/h for exceeding the speed limit?
The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.
The speed limit of a road is 65 miles per hour. The speed of a car on the highway follows a normal distribution with a mean of 70 and standard deviation of 5. What percent of the distribution breaks the speed limit? A)0% B)34% C)84% D)100%
3. The weights of a new species of durian have a mean of 2 m and a standard deviation of 40 cm.100 samples of 50 durians each are measured. Find the number of samples expected when the sample mean is a. greater than 2.5 m b. between 1.80 m and 2.5 m

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