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A researcher developing scanners to search for hidden weapons at airports has that a new scanner is significantly better than the current scanner. He made his decision based on a test using Would he have made the same decision at How about Explain.

2 Answers

13 votes

Final answer:

The researcher's decision on the new scanner's performance is based on statistical analysis and hypothesis testing. Changing the significance level would require retesting the scanner and reassessing the results.

Step-by-step explanation:

Physics: The researcher's decision

The researcher developed a new scanner to search for hidden weapons at airports and claimed that it is significantly better than the current scanner. The decision was made based on a test using statistical analysis. To determine if he would have made the same decision at a different significance level, such as α = 0.05, the researcher would need to redo the test with the new significance level and analyze the results.

Step-by-step explanation:

The decision to claim that the new scanner is significantly better than the current one is based on statistical analysis. The researcher likely used hypothesis testing, comparing the performance of the new scanner to the current scanner. The significance level, α, used in the test determines the threshold for rejecting the null hypothesis. By changing the significance level to α = 0.05, for example, the researcher would need to perform the test again and assess if the results still support the claim of the new scanner being significantly better.

User Kotoole
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6 votes

Answer:

The test statistic will also be smaller α= 0.20 as α= 0.20 > α= 0.025 and the decision will be the same.

Step-by-step explanation:

  • As when the default position has always been substantially the very same, in other words, this same innovative scanner, as well as the contemporary scanner, were also substantially similar, as well as the alternative explanation would not be considered the very same.
  • This same conclusion was always that the latest scanner wasn't substantially superior to the current scanning machine, which means that perhaps the null hypothesis would be accepted, i.e. the confidence interval is shorter unlike "α=0.025" and therefore the alternative hypothesis would be turned down.

User Vicki
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