An electronics manufacturing process has a scheduled mean completion time of 65 minutes. It is claimed that, under new management, the mean completion time, μ , is less than 65 minutes. To test this claim, a random sample of 11 completion times under new management was taken. The sample had a mean completion time of 63 minutes and a standard deviation of 8 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of significance, can it be concluded that the mean completion time, μ , under new management is less than the scheduled mean? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.05 level of significance:(Round to at least three decimal places.) At the 0.05 level, can it be concluded that the mean completion time under new management is less than the scheduled mean? Yes No

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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An electronics manufacturing process has a scheduled mean completion time of

minutes. It is claimed that, under new management, the mean completion time,

, is less than

minutes. To test this claim, a random sample of

completion times under new management was taken.

The sample had a mean completion time of

minutes and a standard deviation of

minutes. Assume that the population of completion times under new management is normally distributed. At the

0.05

level of significance, can it be concluded that the mean completion time,

, under new management is less than the scheduled mean?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The critical value at the 0.05 level of significance: (Round to at least three decimal places.)
At the 0.05 level, can it be concluded that the mean completion time under new management is less than the scheduled mean?	Yes	No

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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