document.write( "Question 1175855: 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
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\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( "4. The police force has a mean physical fitness rating of 72 points (on a 100-point physical endurance rating scale) and a standard deviation of 9 points. The police chief selects a sample of 64 police officers. They score a mean physical fitness rating of 74. Did the physical endurance of the police force change at a .05 level of significance? \r
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Algebra.Com's Answer #801560 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "Police force:   μ = 72pts and   σ = 9 \r\n" );
document.write( "Sample:  n = 64 and   x̄ = 74pts \r\n" );
document.write( "Ho:   μ = 72  \r\n" );
document.write( "Ha    μ > 72 \r\n" );
document.write( "1)Level of significance is .05\r\n" );
document.write( "2) One-tailed, critical value = invNorm(.95) =  1.6448\r\n" );
document.write( "3) Sample > 30, population σ known: use z-test\r\n" );
document.write( "4) \r\n" );
document.write( "      z = 2/(9/8) = 1.7778\r\n" );
document.write( "    z > critical value \r\n" );
document.write( "Reject Ho.  \r\n" );
document.write( "Evidence shows an increase in the physical endurance of the police force\r\n" );
document.write( "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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