Answered: n electronics manufacturing process 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

See similar textbooks

Related questions

Question

An electronics manufacturing process has historically had a mean completion time of 75 minutes. It is claimed that, due to improvements in the process, the mean completion time, μ, is now less than 75 minutes. A random sample of 18 completion times using the new process is taken. The sample has a mean completion time of 71 minutes, with a standard deviation of 8 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 75 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.)

An electronics manufacturing process has historically had a mean completion time of 75 minutes. It is claimed that, due to improvements in the process, the
mean completion time, μ, is now less than 75 minutes. A random sample of 18 completion times using the new process is taken. The sample has a mean
completion time of 71 minutes, with a standard deviation of 8 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 75 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 Ho and the alternative hypothesis H₁.
Ho :O
H₁ :0
(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 75 minutes?
O Yes O No
μ
|x
X
4
0=0
☐☐
X
O
S
2
OSO
O<O
р
Â
020
S
0<0

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution