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4. A researcher would like to test the effectiveness of a newly developed drug to cure...

4. A researcher would like to test the effectiveness of a newly developed drug to cure the common cold. The researcher has determined that under normal circumstances symptoms of a cold are controlled after an average of 7.6 days with a standard deviation of 0.4 days. A cold victim is given the new drug and is symptom free in 6.8 days.

  1. Find the probability that a person with a cold would be symptom free in 6.8 days without the drug.

The probability is _________________.

  1. Explain whether the drug merits further testing.
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Answer #1

Ans:

a)

z=(6.8-7.6)/0.4

z=-2

P(z<=-2)=0.0228

b)Probability indicates that drug is effective,as probability of recovering within 6.8 days is very less without drug.

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