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Chapter 9: Q.81 (page 543)

A Nissan Motor Corporation advertisement read, “The average man’s I.Q. is 107. The average brown trout’s I.Q.is4. So why can’t man catch brown trout?” Suppose you believe that the brown trout’s mean I.Q. is greater than four. You catch 12 brown trout. A fish psychologist determines the I.Q.s as follows: 5;4;7;3;6;4;5;3;6;3;8;5. Conduct a hypothesis test of your belief.

Short Answer

Expert verified

p-value is 0.038

Step by step solution

01

Given Information

We get the following information from the question itself:

Mean is 5912=4.91667

s=1.62

Ho:IQ<4Ha:IQ>4

α=0.05p( reject H0)

02

Explanation

To figure out,

Test statistics is tdf=11=X-meansn

Critical value t>1.796

Calculation:

t=0.9166671.6212=1.96

reject H0and IQ>4

pvalue is 0.038

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