The average I.Q. of the adult population is 100. A researcher believes that the average I. Q. of adults is lower. A random sample of 5 adults were tested and score 69, 79, 89, 99, and 109. The standard deviation is 15.81. Calculate the following a. State the null and alternative hypothesis b. show how you would choose a significant level of 0.05 c. Find the critical value of Z value or T Value(Note you have to choose the correct test statistics) d. Calculate the test statistics e. Draw your conclusion

MATLAB: An Introduction with Applications
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The average I.Q. of the adult population is 100. A researcher believes that the average I. Q. of adults is lower.

A random sample of 5 adults were tested and score 69, 79, 89, 99, and 109.  The standard deviation is 15.81.

Calculate the following

a. State the null and alternative hypothesis

b. show how you would choose a significant level of 0.05

c. Find the critical value of Z value or T Value(Note you have to choose the correct test statistics)

d. Calculate the test statistics

e. Draw your conclusion

Expert Solution
Step 1

Given a random sample of 5 adults were tested and score 69, 79, 89, 99, and 109.  The standard deviation is 15.81.

It is believed that average I.Q. of the adult population is 100.

A researcher believes that the average I. Q. of adults is lower.

We need to do Hypothesis test, where

Null Hypothesis,  Ho: u = 100

Alternative Hypothesis,  Ha: u< 100

 

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