1. Do the tensile strengths of the two batches has a significant difference? 2. Compute the value of P and verify if the smartphone company's claim is legitimate 3. If the confidence interval is ninety-five percent, establish the tensile strength mean within that twenty-eight day period
An android phone manufacturer produces a new product variant of a smartphone which they claim as indestructible despite being dropped. They are claiming that the tensile strength of the newly produced smartphone is greater than twenty-five. Meanwhile, the quality assurance scientists and technicians conducted another test to assure the quality of the new smartphone variant. They can only test fourteen samples a day due to lack of manpower, so it was done in two batches. After twenty-eight days, the following tensile strengths were obtained from the two sample batches:
| 1st batch | 2nd batch |
| 25.3 | 25.4 |
| 24 | 24.6 |
| 24.1 | 24.3 |
| 24.6 | 25.8 |
| 25.6 | 25.9 |
| 26 | 26.1 |
| 25.2 | 25.4 |
| 25.4 | 25.3 |
| 25 | 25.1 |
| 26.7 | 26.3 |
| 26.2 | 26.1 |
| 24.9 | 24.8 |
| 25.7 | 24.9 |
| 26.8 | 25 |
1. Do the tensile strengths of the two batches has a significant difference?
2. Compute the value of P and verify if the smartphone company's claim is legitimate
3. If the confidence interval is ninety-five percent, establish the tensile strength mean within that twenty-eight day period
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