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Hypothesis Testing: Passenger Safety

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Since 9/11/2001, there has been increased concern for passenger safety. This has led to calls for new and more intrusive passenger screening equipment. While concerns for passengers' privacy are an important part of the debate, there are also concerns for the length of time required to move passengers through the proposed new screening devices, and the strain on travelers caused by additional delays.

The manufacturer of the proposed new scanning device claims that individual passengers can move through in less than 5 seconds on average. A random sample of 100 passengers is put through the new machine and the sample mean time is found to be 4.86 seconds. Based on earlier tests of a similar machine installed in a foreign airport, the population standard deviation is known to be .48 seconds.

Conduct a hypothesis test; find the p-value; and interpret the weight of evidence provided by the p-value in support of the manufacturer's claim, i.e., to reject the null hypothsis Ho: ? â?¥ 5 seconds and accept and accept the alternative hypothesis.

Ha: I¼ < 5 seconds.

Please answer the following:

p-value =

The weight of evidence to conclude that the manufacturer's claim is correct is:

Some evidence, strong evidence, very strong evidence, extremely strong evidence, or little evidence.

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Since 9/11/2001, there has been increased concern for passenger safety. This has led to calls for new and more intrusive passenger screening equipment. While concerns for passengers' privacy are an important part of the debate, there are also concerns for the length of time required to move passengers through ...

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  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
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