(Please show work and state correct answer very sensitive) A company that does m
ID: 3360499 • Letter: #
Question
(Please show work and state correct answer very sensitive)
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
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
x1 = 58.9 hours s1 = 5.6 hours
Manual
x2 = 74.3 hours s2 = 4.1 hours
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.)
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 % con
on average, between 19.07 and 11
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
That interval means that with 95 percent accuracy that the difference of means lie within the -19.07 and -11.
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