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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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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