document.write( "Question 1175856: Solve completely. Follow the procedure below:
\n" ); document.write( "A. Setup the null and alternate hypothesis
\n" ); document.write( "B. What is the level of significance “a” (alpha)? What test will you use and how many tails is it?
\n" ); document.write( "C. Find the Critical Value given the level of significance and the number of tails (and the given n if it is a t-test). Draw a
\n" ); document.write( " bell curve.
\n" ); document.write( "D. Write the Decision Rule given the Critical Value. Note: A two-tailed test will have a positive and a negative Critical Value.
\n" ); document.write( "E. Solve for the test statistic (z or t-test). Compare with the Critical Value.
\n" ); document.write( "F. Conclusion: Reject or Do Not Reject? Explain in terms of the decision rule.
\n" ); document.write( "z-test\r
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\n" ); document.write( "\n" ); document.write( "3. A cheerleading squad received a mean rating (out of 100 possible points) of 75 with a standard deviation of 7 in competitions over the previous three seasons. The same cheerleading squad performed in 36 local competitions this season with a mean rating equal to 78 in competitions. Determine whether mean ratings increased this season (compared to the previous three seasons) at a .04 level of significance. \n" ); document.write( "

Algebra.Com's Answer #801559 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "Previous 3 seasons:   μ = 75 and   σ = 7  \r\n" );
document.write( "Sample:  n = 100 and   x̄ = 78 (out of 100) \r\n" );
document.write( "Ho:   μ = 75  \r\n" );
document.write( "Ha    μ > 75 \r\n" );
document.write( "1)Level of significance is .04\r\n" );
document.write( "2) One-tailed, critical value = invNorm(.96) =  1.7507\r\n" );
document.write( "3) Sample > 30, population σ known: use z-test\r\n" );
document.write( "4) \r\n" );
document.write( "      z = 3/(7/10) = 4.2857\r\n" );
document.write( "    z > critical value Reject Ho.  \r\n" );
document.write( "Evidence shows an increase in mean ratings this season.\r\n" );
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document.write( "Wish You the Best in your Studies.\r\n" );
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