A) State the appropriate null and alternative hypotheses for a two-sided test. B) Compute the test statistic for your null hypothesis. C) Compute (or place a bound) on the p-value for your test outcome.

MATLAB: An Introduction with Applications
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ROBLEM 3 (15 points total). Structural steel alloys are often subjected to an annealing process to improve
machinability. Machinability is associated with lower hardness. As part of process characterization for a new annealing
process, the hardness of n = 10 individually marked test coupons were measured both before and after the annealing
cycle. The engineering team wants to know whether the annealing process resulted in a statistically significant change
in
A) State the appropriate null and alternative hypotheses for a two-sided test.
B) Compute the test statistic for your null hypothesis.
C) Compute (or place a bound) on the p-value for your test outcome.
D) Based on the p-value, what conclusion do you draw regarding the null hypothesis? Is there sufficient evidence
that demonstrates that the annealing process changes hardness to a statistically significant degree at the a=0.05
level of significance? what
After
1 321.6 296.0
2 299.4
318.3
3 309.6
323.9
4 312.8
305.1
5 335.3
314.8
6 324.9
314.2
7
318.9
311.2
8 318.3
320.3
9 320.9
316.0
10
322.0
295.4
Sample ID Before
...face of
Before - After
Difference
25.6
-18.9
-14.3
7.7
20.5
10.7
7.7
-2.0
4.9
26.6
6.9
15.4
Mean
Stdev
Transcribed Image Text:ROBLEM 3 (15 points total). Structural steel alloys are often subjected to an annealing process to improve machinability. Machinability is associated with lower hardness. As part of process characterization for a new annealing process, the hardness of n = 10 individually marked test coupons were measured both before and after the annealing cycle. The engineering team wants to know whether the annealing process resulted in a statistically significant change in A) State the appropriate null and alternative hypotheses for a two-sided test. B) Compute the test statistic for your null hypothesis. C) Compute (or place a bound) on the p-value for your test outcome. D) Based on the p-value, what conclusion do you draw regarding the null hypothesis? Is there sufficient evidence that demonstrates that the annealing process changes hardness to a statistically significant degree at the a=0.05 level of significance? what After 1 321.6 296.0 2 299.4 318.3 3 309.6 323.9 4 312.8 305.1 5 335.3 314.8 6 324.9 314.2 7 318.9 311.2 8 318.3 320.3 9 320.9 316.0 10 322.0 295.4 Sample ID Before ...face of Before - After Difference 25.6 -18.9 -14.3 7.7 20.5 10.7 7.7 -2.0 4.9 26.6 6.9 15.4 Mean Stdev
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