Expert answer:Hypothesis test
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1. (Show your work, including a screen shot of the applet that you may use, or a description of
the built-in function that you may use.) A Nissan Motor Corporation advertisement read:
“The average man’s I.Q. is 107. The average brown trout’s I.Q. is 4. So why can’t man
catch brown trout?” Suppose you believe that the brown trout’s mean I.Q. is not less than
or equal to four. You catch some brown trout. A fish psychologist determines the I.Q.s of
the caught brown trout as follows: 3; 6; 7; 3; 6; 4; 5; 3; 6; 5; 4; 5. The standard deviation
of the I.Q.s listed is approximately 1.36. Conduct a hypothesis test of your belief:
(a) Use a significant level of 4.5% and showing your complete work, write down your
conclusion as a complete sentence.
(b) What would be your conclusion if you used a significant level of 1%? Write your
conclusion in a complete sentence.
2. According to the Center for Disease Control website, in 2011 not less than 18% of high
school students have smoked a cigarette. An Introduction to Statistics class in Davies
County, KY conducted a hypothesis test at the local high school (a medium sized–
approximately 1,200 students–small city demographic) to determine if the local high
school’s percentage was lower. One hundred fifty students were chosen at random and
surveyed. Of the 150 students surveyed, 82 have smoked.
Use a significance level of 0.07 and using appropriate statistical evidence, conduct a
hypothesis test and state the conclusions.
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