(Please show work and state correct answer very sensitive) 2. A company that doe
ID: 3360526 • Letter: #
Question
(Please show work and state correct answer very sensitive)
2. A company that does
manufacturing work has one facility
that is automated and one that has
manual functions. In order to
estimate the difference in mean
time it takes to complete a part on
the two lines, the company has
requested that a random sample of
15 parts at each facility be tracked
from start to finish and the time
required be recorded. The sample
data to the right were recorded.
Assuming that the populations are
normally distributed with equal
population variances, construct and
interpret a 95% confidence interval
estimate.
Automated
x1 = 58.9 hours
s1 = 5.6 hours
Manual
x2 = 74.3 hours
s2 = 4.1 hours
1)The 95% confidence interval for the difference between
the two population means for the length of time it takes to
make a part from start to finish is
19.07
(1 2 )
11.73
.
(Round to two decimal places as needed.)
2)What is the interpretation of this interval? Select the
correct choice below and fill in the answer boxes to
complete your choice.
(Type integers or decimals rounded to two decimal places
as needed. Use ascending order.)
A. The interval means that, with 95% confidence, the automated facility produces parts, on average, between________and____________
hours faster than the manual facility.
B. The interval means that the difference between the
and_________
hours for__________
C. The interval means that there is a(n)_____________
population means is between_______
and______________
Explanation / Answer
As given,
95% confidence interval estimate for the differences of means is:
19.07 (1 2 ) 11.73
Hence,
Interpretation:
The interval means that, with 95% confidence, the automated facility produces parts, on average, between _11.73_ and _19.07_ hours faster than the manual facility.
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