An operations manager with General Motors corporate offices wishes to determine if the true mean productivity of employees at its Detroit, Michigan plant is different from its Opel/Vauxhall Plant in Bochum, Germany. For this analysis, productivity will be measured by the number of cars that employees assemble per day. Random samples of employees in Detroit and Bochum are selected, and the productivity scores at each assembly plant are recorded. The following results are obtained. t-Test: Two-Sample Assuming Equal Variances DetroitBochumMean58.554.3Variance4256Observations1313Pooled VarianceXX Hypothesized Mean Difference0 dfXX t StatXXXXX P(T<=t) one-tailXXXXX t Critical one-tailXXXXX P(T<=t) two-tailXXXXX t Critical two-tailXXXXX Using a significance level of 0.05, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is:

The sample size for first group is 13 and second group is 13.

Answered: Using a significance level of 0.05, the…

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 operations manager with General Motors corporate offices wishes to determine if the true mean productivity of employees at its Detroit, Michigan plant is different from its Opel/Vauxhall Plant in Bochum, Germany. For this analysis, productivity will be measured by the number of cars that employees assemble per day. Random samples of employees in Detroit and Bochum are selected, and the productivity scores at each assembly plant are recorded. The following results are obtained.

t-Test: Two-Sample Assuming Equal Variances
	Detroit	Bochum
Mean	58.5	54.3
Variance	42	56
Observations	13	13
Pooled Variance	XX
Hypothesized Mean Difference	0
df	XX
t Stat	XXXXX
P(T<=t) one-tail	XXXXX
t Critical one-tail	XXXXX
P(T<=t) two-tail	XXXXX
t Critical two-tail	XXXXX

Using a significance level of 0.05, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is:

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