A new automotive company sends its employees from two manufacturing plants to attend a course for up skilling. The HR wanted to check if the employees are equaly acchive the learning outcome of the attended the course. To assess the effect of a particular course, 15 staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was determined based on the final test score in Table 2. Assume those final test from manufacturing plant A and B are both normally distributed with unequal population standard deviations. Table 2: The summary of the final test Mean Location n Standard deviation Plant A 15 81.6 1.70 Plant B 15 75.9 1.83 i. Find the 95% confident interval for the difference between mean final test results from the two manufacturing plants. ii. Does the data indicate that the final test is higher for plant A than plant B by more than 5% ? Use a 0.05 significance level.

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(b)
A new automotive company sends its employees from two manufacturing plants to attend
a course for up skilling. The HR wanted to check if the employees are equaly acchive the
learning outcome of the attended the course. To assess the effect of a particular course, 15
staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was
determined based on the final test score in Table 2. Assume those final test from
Imanufacturing plant A and B are both normally distributed with unequal population
standard deviations.
Table 2: The summary of the final test
Location
Standard deviation
1.70
n
Mean
Plant A
15
81.6
Plant B
15
75.9
1.83
i.
Find the 95% confident interval for the difference between mean final test results
from the two manufacturing plants.
ii.
Does the data indicate that the final test is higher for plant A than plant B by
more than 5% ? Use a 0.05 significance level.
Transcribed Image Text:(b) A new automotive company sends its employees from two manufacturing plants to attend a course for up skilling. The HR wanted to check if the employees are equaly acchive the learning outcome of the attended the course. To assess the effect of a particular course, 15 staff were taken from plant A and 15 from Plant B , respectively. Learning outcome was determined based on the final test score in Table 2. Assume those final test from Imanufacturing plant A and B are both normally distributed with unequal population standard deviations. Table 2: The summary of the final test Location Standard deviation 1.70 n Mean Plant A 15 81.6 Plant B 15 75.9 1.83 i. Find the 95% confident interval for the difference between mean final test results from the two manufacturing plants. ii. Does the data indicate that the final test is higher for plant A than plant B by more than 5% ? Use a 0.05 significance level.
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