Cub andy on the 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?
Cub andy on the 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?
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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I only require D. Provided is the answers for the rest.
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
Transcribed Image Text:08:46 1
Step1
a)
Given that
n = 10,
df = n - 1 = 10-1=9
Note: According to bartleby experts question
answers guidelines an expert can solve only
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Step2
b)
XD = 6.9, Sdp = 15-4, n=10₁α=0.05
A Null and Alternate hypothesis
Ho: Up = 0
Vs
H₁ 4₂ 0
;
B) Test statistic = I
=
= 6.9-0
15.4/√10
хо-ир
Sho/√n
= 1.4169
c) P-value is calculated from excel
= T.DIST.2 T (1-4169,9)
P-value = 0.190184
@
√x
DO
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