Probability
Case.
The following observations are about the ultrasonic welding point strengths. These welding points where applied in a specific alclad sheet. Thestrength of the welding is tested with a cutting stress in pounds (lb).
5141 | 4346 | 5049 | 4754 | 5213 | 4910 | 5935 |
4949 | 5832 | 4449 | 4779 | 4857 | 5175 | 4905 |
4860 | 5262 |4844 | 5609 | 5436 | 5454 | 5384 |
4675 | 4508 | 4738 | 5105 | 5905 | 4307 | 5169 |
4866 | 5000 | 4739 | 5265 | 4935 | 4737 | 5602 |
4998 | 4631 | 4674 | 4929 | 5216 | 5089 | 4897|
5113 | 5654 | 5018 | 5031 | 4427 | 4774 | 5233 |
5008 | 5344 | 5484 | 4674 | 5511 | 4878 | 5768 |
4928 | 5430 | 4790 | 4475 | 4966 | 5055 | 5144 |
5030 | 4925 | 5452 | 5533 |5005 | 4532 | 5389 |
5379 | 5380 | 5043 | 4772 | 5120 | 4302 | 5050 |
5652 | 5407 | 4643 | 4771 | 5378 | 5052 | 5187 |
4351 | 4754 | 4850 | 4942 | 4782 | 5334 | 5237 |
4920 | 4573 |5149 | 4693 | 5141 | 5154 | 4825 |
Questionnaire.
a. If the expected strength is 5500 lb, what is concluded taking into account the mean?
b. What would be the interpretation of thecalculated standard deviation?
c. If the median is 5013 lb, what would happen if it is added a measurement of 1234 lb. from a very weak welding point? Justify, be specific!
d. If themean is 5036 lb, what happen if it is added a measurement of 1234 lb. from a very weak welding point? Justify, be specific!
e. According to the last two questions, what would be thedifference between the mean and the median? Justify, be specific!
f. In the Histogram plot, what class is the most probable to happen?
g. What classes are less probable to happen?
h. Whena histogram follows the Gauss bell shape, it is said data has a normal behavior; in this case, does the strength of the welding point follow a normal behavior? Justify, be specific!
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