document.write( "Question 1026440: This applet carries out tests at a fixed significance level.
\n" ); document.write( "When you arrive, the applet is set for the cola tasting test of Example 18.6.
\n" ); document.write( "That is, the hypotheses are
\n" ); document.write( "H0 : μ = 0
\n" ); document.write( "Ha : μ > 0
\n" ); document.write( "We have an SRS of size 10 from a Normal population with standard deviation σ = 1, and we will do a test at level α = 0.05.
\n" ); document.write( "At the bottom of the screen, a button allows you to choose a value of the mean μ and then to generate samples from a population with that mean.\r
\n" ); document.write( "\n" ); document.write( "Step 1:
\n" ); document.write( "Set μ = 0, so that the null hypothesis is true.
\n" ); document.write( "Each time you click the button, a new sample appears.
\n" ); document.write( "If the sample x lands in the colored region, that sample rejects H0 at the 5% level.
\n" ); document.write( "Click 100 times rapidly, keeping track of how many samples reject H0.
\n" ); document.write( "Use your results to estimate the probability of a Type I error.
\n" ); document.write( "If you kept clicking forever, what probability would you get?
\n" ); document.write( "Give your answer to 2 decimal places.\r
\n" ); document.write( "\n" ); document.write( "Step 2:
\n" ); document.write( "Now set μ = 0.8. Example 18.6 shows that the test has power 0.812 against this alternative. Click 100 times rapidly, keeping track of how many samples fail to reject P 0. Use your results to estimate the probability of a Type II error. If you kept clicking forever, what probability would you get?
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Algebra.Com's Answer #641896 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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