2. Has the materials Aa very significantly higher Brinell hardness? Answer: Significance level: O 0.5 O 0.05 O 0.1 O 0.01 O 0.001 Critical value c: (±0.02 Reason: O if H is assumed at 5%, then also at 1% O Test variable t is greater than the critical value c O Test variable t is less than or equal to c

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To investigate the question of whether the Brinell hardness of two materials A.and Bis different, 10 samples of each of these
materials were taken and their Brinell hardness was determined. The following values resulted in [HBW]:
A. 273.9 295.8 286.5 302.5 300 281.8 291.8 297.6 294.5 311
B. 272.9 279.8 275.5 277.5 282 269.8 275.8 272.6 263.5 286
The Brinell hardness of both populations can be assumed to be normally distributed.
1. Has the materials Aa significantly higher Brinell hardness?
Name of the test procedure:
Ou test for exact critical values
Ou-test with NV approximation
Ot-test for dependent samples
O Welch test
Ot-test for independent samples with homogeneous variances
Significance level:
O 0.5
O 0.05
O 0.1
O 0.01
O 0.001
Sensible alternative:
O H.
Transcribed Image Text:To investigate the question of whether the Brinell hardness of two materials A.and Bis different, 10 samples of each of these materials were taken and their Brinell hardness was determined. The following values resulted in [HBW]: A. 273.9 295.8 286.5 302.5 300 281.8 291.8 297.6 294.5 311 B. 272.9 279.8 275.5 277.5 282 269.8 275.8 272.6 263.5 286 The Brinell hardness of both populations can be assumed to be normally distributed. 1. Has the materials Aa significantly higher Brinell hardness? Name of the test procedure: Ou test for exact critical values Ou-test with NV approximation Ot-test for dependent samples O Welch test Ot-test for independent samples with homogeneous variances Significance level: O 0.5 O 0.05 O 0.1 O 0.01 O 0.001 Sensible alternative: O H.
2. Has the materials Aa very significantly higher Brinell hardness?
Answer:
Significance level:
O 0.5
O 0.05
O 0.1
O 0.01
O 0.001
Critical value c:
(± 0.02
Reason:
O if H is assumed at 5%, then also at 1%
O Test variable t is greater than the critical value c
O Test variable t is less than or equal to c
Comment:
Transcribed Image Text:2. Has the materials Aa very significantly higher Brinell hardness? Answer: Significance level: O 0.5 O 0.05 O 0.1 O 0.01 O 0.001 Critical value c: (± 0.02 Reason: O if H is assumed at 5%, then also at 1% O Test variable t is greater than the critical value c O Test variable t is less than or equal to c Comment:
Expert Solution
Step 1

Given data :

Statistics homework question answer, step 1, image 1

Material A :

mean = A = 293.54

Standard deviation = S12 = 113.95

Material B :

mean = B = 275.54

Standard deviation = S22 = 40.75

 

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