Answered: An automobile assembly line operation…

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 automobile assembly line operation has a scheduled mean completion time, μ, of 14 minutes. The standard deviation of completion times is 1.5 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 10 completion times under new management was taken. The sample had a mean of 13.7 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? Assume that the standard deviation of completion times has not changed.

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

Carry your intermediate computations to three or more decimal places, and round your responses as specified below.

(a)	State the null hypothesis H0 =? and the alternative hypothesis H1=? .
H0:?
H1:?
(b)	Determine the type of test statistic to use.
	▼(Choose one) z ? t? chisquare? or F?
(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 we support the claim that the mean completion time has decreased under new management?
Yes or 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.

Expert Solution

Step 1

From the provided information,

Population mean (µ) = 14 minutes

Sample size (n) = 10

Sample mean (x̅) = 13.7

Population standard deviation (σ) = 1.5 minutes

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Equality of Variances$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions