Question

Using extensive data compiled from their manufacturing records, it has historically taken 16 minutes to complete the assembly of each FC340M-VB fire extinguisher.

*...*recently retooled their production line in an
attempt to improve the operation’s overall efficiency and assembly
time. After the retooling was complete, the quality control
inspector took a random sample of *n =* 25 FC340M-VB fire
extinguishers from the new production line and took note of the
amount of time it took to assemble each one. The sample mean
assembly time was 15.20 minutes, and the sample standard deviation
was 2.53 minutes.

Can the quality control inspector reasonably conclude that the retooling of the production line has significantly changed the average assembly time for the FC340M-VB fire extinguisher? Do a complete and appropriate hypothesis test, using a significance level of .02.

**Step 1 (Hypotheses)**

H_{0}: (Click to
select) x-bar n s π p μ σ (Click
to
select) = ≠ ≤ > ≥ <

H_{A}: (Click to
select) μ x-bar π p σ s n (Click
to
select) = ≠ ≤ > ≥ <

**Step 2 (Decision rule)**

Using only the appropriate statistical table in your textbook,
the critical value for rejecting H_{0}
is (Click to
select) + - ± .
*(report your answer to 3 decimal places, using
conventional rounding rules)*

**Step 3 (Test statistic)**

Using the sample data, the calculated value of the test
statistic is (Click to
select) + - ± .
*(report your answer to 2 decimal places, using
conventional rounding rules)*

**Step 4 (Evaluate the null hypothesis)**

Should the null hypothesis be rejected? (Click to select) yes no

**Step 5 (Practical conclusion)**

Can the quality control inspector reasonably conclude that the retooling of the production line has significantly changed the average assembly time for the FC340M-VB fire extinguisher? (Click to select) yes no

Answer #1

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INNOVATION
Deep Change: How Operational Innovation Can Transform Your
Company
by
Michael Hammer
From the April 2004 Issue
Save
Share
8.95
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