Answered: An electronics manufacturing process…

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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Question

An electronics manufacturing process has historically had a mean completion time of 70 minutes. It is claimed that, due to improvements in the process, the mean completion time, μ, is now less than 70 minutes. A random sample of 15 completion times using the new process is taken. The sample has a mean completion time of 64 minutes, with a standard deviation of 10 minutes. Assume that completion times using the new process are approximately normally distributed. At the 0.05 level of significance, can it be concluded that the population mean completion time using the new process is less than 70 minutes? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.

a. State the null hypothesis H0 and the alternative hypothesis H1.

b. Find the value of the test statistic. Round to three or more decimal places.

c. Find the p-value. Round to three or more decimal places.

d. Can it be concluded that the mean completion time using the new process is less than 70 minutes?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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