Example 2 A machine is set to produce bolts with a mean length of 1.00 inches. Bolts that are consistently either too long or too short will not meet specifications. Suppose n=50 bolts are sampled and the average length is 1.003 inches, with a standard deviation of 0.01 inches. Is there sufficient evidence at the 5% level to conclude that the machine is producing bolts which do not meet specifications?

Example 2 A machine is set to produce bolts with a mean length of 1.00 inches. Bolts that are consistently either too long or too short will not meet specifications. Suppose n=50 bolts are sampled and the average length is 1.003 inches, with a standard deviation of 0.01 inches. Is there sufficient evidence at the 5% level to conclude that the machine is producing bolts which do not meet specifications?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 31 laptops sold in the past and finds that the mean replacement time is 3.1 years.Assuming that the laptop replacement times have a mean of 3.3 years and a standard deviation of 0.6 years, find the probability that 31 randomly selected laptops will have a mean replacement time of 3.1 years or less.P(M < 3.1 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Based on the result above, does it appear that the computer store has been given laptops of lower than average quality? No. The probability of obtaining this data is high enough…
Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.39 ounces and a standard deviation of 0.04 ounce. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. What is that fill amount?
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.2 years and a standard deviation of 0.5 years. He then randomly selects records on 35 laptops sold in the past and finds that the mean replacement time is 3 years.Assuming that the laptop replacment times have a mean of 3.2 years and a standard deviation of 0.5 years, find the probability that 35 randomly selected laptops will have a mean replacment time of 3 years or less.P(x-bar < 3 years) = Enter your answer as a number accurate to 4 decimal places. The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.963 g and a standard deviation of 0.315 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a…
0) A coin-operated drink machine was designed to discharge a mean of 7 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.19 fluid ounces and 0.28 fluid ounces, respectively. If we assume that the discharge amounts are approximately normally distributed, there enough evidence, to conclude that the population mean discharge, µ, differs from 7 fluid ounces? Use the 0.05level of significance
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.1 years and a standard deviation of 0.5 years. He then randomly selects records on 42 laptops sold in the past and finds that the mean replacement time is 3.9 years.Assuming that the laptop replacement times have a mean of 4.1 years and a standard deviation of 0.5 years, find the probability that 42 randomly selected laptops will have a mean replacement time of 3.9 years or less.P(M < 3.9 years)
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.1 years and a standard deviation of 0.6 years. He then randomly selects records on 41 laptops sold in the past and finds that the mean replacement time is 3.9 years.Assuming that the laptop replacement times have a mean of 4.1 years and a standard deviation of 0.6 years, find the probability that 41 randomly selected laptops will have a mean replacement time of 3.9 years or less.P(M < 3.9 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.Based on the result above, does it appear that the computer store has been given laptops of lower than average quality?
Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.27 ounces and a standard deviation of 0.04 ounce. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. For what fill amount are they searching? Round to the nearest thousandth. 12.357 oz O 11.913 oz O 12.183 oz 12.087 oz O 306
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.8 years and a standard deviation of 0.5 years. He then randomly selects records on 36 laptops sold in the past and finds that the mean replacement time is 3.5 years.Assuming that the laptop replacment times have a mean of 3.8 years and a standard deviation of 0.5 years, find the probability that 36 randomly selected laptops will have a mean replacment time of 3.5 years or less.P(¯xx¯ < 3.5 years) = Enter your answer as a number accurate to 4 decimal places.Based on the result above, does it appear that the computer store has been given laptops of lower than average quality?
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.5 years and a standard deviation of 0.4 years. He then randomly selects records on 48 laptops sold in the past and finds that the mean replacement time is 4.4 years.Assuming that the laptop replacement times have a mean of 4.5 years and a standard deviation of 0.4 years, find the probability that 48 randomly selected laptops will have a mean replacement time of 4.4 years or less.P(M < 4.4 years) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Suppose that one-way commute times in a particular city are normally distributed with a mean of 25.16 minutes and a standard deviation of 1.45 minutes. Would it be unusual for a commute time to be above 21 minutes?
5. The burning rates of two different solid-fuel propellants used in air crew escape systems are being studied. It is known that both propellants have approximately the same standard deviation of burning rate; that is, o1 =02 = 3 centimeters per second. Two random samples of n1 = 20 and n2 = 20 specimens are tested; the sample mean burning rates are x1 = 18 centimeters per second and x2 = 24 centimeters %3D %3D per second. 5.1. Test the hypothesis that both propellants have the same mean burning rate. Use a=0.05. What is the P-value? 5.2. Construct a 95% confidence interval on the difference in means µ1 -u2. What is the practical meaning of this interval?
Many manufacturing problems involve the matching of machine parts, such as shafts that fit into a valve hole. A particular design requires a shaft with a diameter of 22.000mm, but shafts with diameters between 21.990mm and 22.010mm are acceptable. Suppose that the manufacturing process yields shafts with diameters normally distributed, with a mean of 22.002mm and a standard deviation of 0.005mm. For this process, what is The proportion of shafts with a diameter between 21.99mm and 22.00mm? The probability that a shaft is acceptable? The diameter that will be exceeded by only 2% of the shafts?