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A sample of 41 oil industry executives was selected to test a questionnaire. One

ID: 3254939 • Letter: A

Question

A sample of 41 oil industry executives was selected to test a questionnaire. One question about environmental issues required a yes or no answer.

39 people respond "Yes."

37 people respond "Yes."

23 people respond "No."

47 people respond "No."

The questionnaire fails to reach one executive.

c.  
Sixteen of the 41 executives responded yes. Based on these sample responses, what is the probability that an oil industry executive will respond yes? (Round your answer to 2 decimal places.)

Probability _______

(Click to select)The outcomes are not equally likely but are mutually exclusive.

The outcomes are not equally likely and are also not mutually exclusive.

The outcomes are equally likely and are also mutually exclusive.

The outcomes are equally likely but are not mutually exclusive.

  

A sample of 41 oil industry executives was selected to test a questionnaire. One question about environmental issues required a yes or no answer.

b. Which of the following are possible events. (Select all that apply.)

39 people respond "Yes."

37 people respond "Yes."

23 people respond "No."

47 people respond "No."

The questionnaire fails to reach one executive.

c.  
Sixteen of the 41 executives responded yes. Based on these sample responses, what is the probability that an oil industry executive will respond yes? (Round your answer to 2 decimal places.)

Probability _______

e. Are each of the possible outcomes equally likely and mutually exclusive?

(Click to select)The outcomes are not equally likely but are mutually exclusive.

The outcomes are not equally likely and are also not mutually exclusive.

The outcomes are equally likely and are also mutually exclusive.

The outcomes are equally likely but are not mutually exclusive.

  

Explanation / Answer

(b) All of the options below could be possible events.

39 people respond "Yes."

37 people respond "Yes."

23 people respond "No."

** The questionnaire fails to reach one executive : if this is an option , then the maximum possible number of responses for either yes or no would be 40

(c) 16 out of the 41 in the sample responded yes, then the estimate for an executive responding yes , from the sample would be, probability = 16/41 = 0.39

(e) The outcomes are not equally likely but are mutually exclusive.

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