The machine to produce metal wire has been set so that the average length of the produced metal wireis 800 cm with standard deviation of 15 cm. A new regulation states that any produced metal wirefound to be shorter than 785 cm will be discarded. To reduce the percentage of discarded products,there are two suggestions for the adjustment of the machine:Method I: Adjust the new mean to 806 cm and the standard deviation is unchanged, ORMethod II: The mean is unchanged and adjust the new standard deviation to 10 cm.(а)Calculate the percentage of discarded products if Method I adjustment is used.(b)Calculate the percentage of discarded products if Method II adjustment is used.(c)To obtain a lower percentage of discarded products, should Method I or Method II be used?Justify your suggestion by your answers in part (a) and part (b).

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Answered: The machine to produce metal wire has…

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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A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality control engineer knows that the bolts coming off the assembly line have mean length of 12 cm with a standard devation of 0.10cm. For what lengths will a bolt be destroyed?
7. Suppose the length of newborn babies in a community is normally distributed with an average of 50 cm and a standard deviation of 3cm. Find the proportion of the babies in that community with the newborn length of 45.8cm.
The mean length of six-year-old rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed. What proportion of six-year-old rainbow trout are less than 501 millimeters long?
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An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.7 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and Ha What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. O B. The wind speed in Region A is not less than the wind speed in Region B. O C. The wind speed in Region A is not greater than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let…
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What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. z O B. z > OC z< (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to
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An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality control engineer knows that the bolts coming off the assembly line have a mean length of 8cm with a standard deviation of 0.05 cm. For what length will a bolt be destroyed?

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