A company claims to have invented a hand-held sensor that can detect the presence of explosivesinside a closed container. Law enforcement and security agencies are very interested inpurchasing several of the devices if they are shown to perform effectively. An independentlaboratory arranged a preliminary test. If the device can detect explosives at a rate greater thanchance would predict, a more rigorous test will be performed. They placed four empty boxes inthe corners of an otherwise empty room. For each trial they put a small quantity of an explosivein one of the boxes selected at random. The company's technician then entered the room andused the sensor to try to determine which of the four boxes contained the explosive. Theexperiment consisted of 50 trials, and the technician was successful in finding the explosive 16times. Does this indicate that the device is effective in sensing the presence of explosives, andshould undergo more rigorous testing?a) Test an appropriate hypothesis and state your conclusion.b) Was your test one-tail upper tail, lower tail, or two-tail? Explain why you chose that kindof test in this situation.

It is given that for any trial , they are putting explosive in one of the four boxes available, Then…

Answered: Test an appropriate hypothesis and…

Test an appropriate hypothesis and state your conclusion. b) Was your test one-tail upper tail, lower tail, or two-tail? Explain why you chose that kind of test in this situation.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

A company claims to have invented a hand-held sensor that can detect the presence of explosives
inside a closed container. Law enforcement and security agencies are very interested in
purchasing several of the devices if they are shown to perform effectively. An independent
laboratory arranged a preliminary test. If the device can detect explosives at a rate greater than
chance would predict, a more rigorous test will be performed. They placed four empty boxes in
the corners of an otherwise empty room. For each trial they put a small quantity of an explosive
in one of the boxes selected at random. The company's technician then entered the room and
used the sensor to try to determine which of the four boxes contained the explosive. The
experiment consisted of 50 trials, and the technician was successful in finding the explosive 16
times. Does this indicate that the device is effective in sensing the presence of explosives, and
should undergo more rigorous testing?
a) Test an appropriate hypothesis and state your conclusion.
b) Was your test one-tail upper tail, lower tail, or two-tail? Explain why you chose that kind
of test in this situation.

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