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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

A particular brand of tires claims that its deluxe tire averages at least 50,000miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28tires surveyed, the mean lifespan was 46,500miles with a standard deviation of 9,800miles. Using alpha =0.05, is the data highly inconsistent with the claim?

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.

a. Is this a test of one mean or proportion?

b. State the null and alternative hypotheses.

H0:

Ha:

c. Is this a right-tailed, left-tailed, or two-tailed test?

d. What symbol represents the random variable for this test?

e. In words, define the random variable for this test.

f. Calculate the following:

i.x=

ii.role="math" localid="1649760873126" n=

iii.p'=

g. Calculate role="math" localid="1649760901479" 蟽x=Show the formula set-up.

h. State the distribution to use for the hypothesis test.

i. Find the p-value.

j. At a pre-conceived 伪=0.05, what is your:

i. Decision:

ii. Reason for the decision:

iii. Conclusion (write out in a complete sentence):

A medical trial is conducted to test whether or not a new medicine reduces cholesterol by25%.State the null and alternative hypotheses.

On a state driver's test, about 40%pass the test on the first try. We want to test if more than 40%pass on the first try. Fill in the correct symbol (=,鈮�,鈮�,<,鈮�,>)for the null and alternative hypotheses.

a.H0:p-0.40

b.Ha:p-0.40

A sleeping bag is tested to withstand temperatures of 鈥�15掳F. You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences.

In words, describe1鈥�尾
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