An assembly operation in a manufacturing plant requires a one-month training period for a new employee to reach maximum efficiency. A new method of training was suggested and a test was conducted to compare the new method with the standard procedure. Two groups of 36 new employees were trained, one group using the new method and the other using the standard procedure. The length of time in minutes required for each employee to assemble a device was recorded. After the hypothesis testing to see whether the mean time to assemble is less for the new training procedure at a = 0.05, we obtained part of output from the excel. Standard Procedure New Procedure Mean Variance Observations Pooled Variance Hypothesized Mean Difference 33.278 3.521 36 5.925 0.000 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail a. What is the df? b. What is the t statistic? c. Which critical value should be used in this question, and what is the conclusion? ? ? 1.667 32.111 8.330 36 1.994

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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An assembly operation in a manufacturing plant requires a one-month training period for a new
employee to reach maximum efficiency. A new method of training was suggested and a test
was conducted to compare the new method with the standard procedure. Two groups of 36
new employees were trained, one group using the new method and the other using the
standard procedure. The length of time in minutes required for each employee to assemble a
device was recorded. After the hypothesis testing to see whether the mean time to assemble is
less for the new training procedure at a = 0.05, we obtained part of output from the excel.
Standard Procedure New Procedure
Mean
Variance
Observations
Pooled Variance
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
33.278
3.521
36
5.925
0.000
?
?
1.667
1.994
32.111
8.330
36
a. What is the df?
b. What is the t statistic?
C. Which critical value should be used in this question, and what is the conclusion?
Transcribed Image Text:An assembly operation in a manufacturing plant requires a one-month training period for a new employee to reach maximum efficiency. A new method of training was suggested and a test was conducted to compare the new method with the standard procedure. Two groups of 36 new employees were trained, one group using the new method and the other using the standard procedure. The length of time in minutes required for each employee to assemble a device was recorded. After the hypothesis testing to see whether the mean time to assemble is less for the new training procedure at a = 0.05, we obtained part of output from the excel. Standard Procedure New Procedure Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 33.278 3.521 36 5.925 0.000 ? ? 1.667 1.994 32.111 8.330 36 a. What is the df? b. What is the t statistic? C. Which critical value should be used in this question, and what is the conclusion?
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