Problem 2: You are developing a new gas exchange nozzle for scuba tanks that will be used in deep sea diving. The nozzles are rated to withstand pressures up to 12 atmospheres which is experienced at a depth of 120.7 meters. Up to this point, 96% of your nozzles in previous tests have functioned flawlessly at that depth. In testing your current iteration, 6 of the 200 nozzles tested failed at that depth. Can you claim a statistically significant improvement over previous tests with a significance level of 0.05? Why or why not? Use critical rejection criteria, P-values, or confidence intervals. Document your full process.

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Problem 2: You are developing a new gas exchange nozzle for scuba tanks that will be used in
deep sea diving. The nozzles are rated to withstand pressures up to 12 atmospheres which is
experienced at a depth of 120.7 meters. Up to this point, 96% of your nozzles in previous tests
have functioned flawlessly at that depth. In testing your current iteration, 6 of the 200 nozzles
tested failed at that depth. Can you claim a statistically significant improvement over previous
tests with a significance level of 0.05? Why or why not? Use critical rejection criteria, P-values,
or confidence intervals. Document your full process.
Transcribed Image Text:Problem 2: You are developing a new gas exchange nozzle for scuba tanks that will be used in deep sea diving. The nozzles are rated to withstand pressures up to 12 atmospheres which is experienced at a depth of 120.7 meters. Up to this point, 96% of your nozzles in previous tests have functioned flawlessly at that depth. In testing your current iteration, 6 of the 200 nozzles tested failed at that depth. Can you claim a statistically significant improvement over previous tests with a significance level of 0.05? Why or why not? Use critical rejection criteria, P-values, or confidence intervals. Document your full process.
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