An electronics manufacturing process has historically had a mean completion time of65minutes. It is claimed that, due to improvements in the process, the mean completion time,μ, is now less than65minutes. A random sample of14completion times using the new process is taken. The sample has a mean completion time of64minutes, with a standard deviation of8minutes.Assume that completion times using the new process are approximately normally distributed. At the0.10 level of significance, can it be concluded that the population mean completion time using the new process is less than 65 minutes? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a)State the null hypothesisH0and the alternative hypothesisH1.H0:H1:(b)Determine the type of test statistic to use. ▼(Choose one) (c)Find the value of the test statistic. (Round to three or more decimal places.) (d)Find the critical value. (Round to three or more decimal places.) (e)Can it be concluded that the mean completion time using the new process is less than65minutes? Yes No

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Answered: An electronics manufacturing process…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

An electronics manufacturing process has historically had a mean completion time of

minutes. It is claimed that, due to improvements in the process, the mean completion time,

, is now less than

minutes. A random sample of

completion times using the new process is taken. The sample has a mean completion time of

minutes, with a standard deviation of

minutes.

Assume that completion times using the new process are approximately normally distributed. At the

0.10

level of significance, can it be concluded that the population mean completion time using the new process is less than

minutes?

Perform a one-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the critical value. (Round to three or more decimal places.)

(e)	Can it be concluded that the mean completion time using the new process is less than 65 minutes?
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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