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Chapter 9: Q.81 (page 543)

A Nissan Motor Corporation advertisement read, 鈥淭he average man鈥檚 I.Q. is 107. The average brown trout鈥檚 I.Q.is4. So why can鈥檛 man catch brown trout?鈥� Suppose you believe that the brown trout鈥檚 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

伪=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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Most popular questions from this chapter

The mean entry level salary of an employee at a company is $58,000. You believe it is higher for IT professionals in the company. State the null and alternative hypotheses.

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According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year鈥檚 rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

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Refer to Exercise 9.119. Conduct a hypothesis test to see if your decision and conclusion would change if your belief were that the brown trout's mean I.Q is not four.
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