document.write( "Question 997662: Given the following hypotheses: \r
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\n" ); document.write( "\n" ); document.write( "H0 : μ = 400 \r
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\n" ); document.write( "\n" ); document.write( "H1 : μ ≠ 400 \r
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\n" ); document.write( "\n" ); document.write( "A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:
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\n" ); document.write( "\n" ); document.write( "a.
\n" ); document.write( "State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)
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\n" ); document.write( "\n" ); document.write( " Reject H0 when the test statistic is (Click to select)insideoutside the interval (, ). \r
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\n" ); document.write( "\n" ); document.write( "b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) \r
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\n" ); document.write( "\n" ); document.write( " Value of the test statistic \r
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\n" ); document.write( "\n" ); document.write( "c. What is your decision regarding the null hypothesis?
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\n" ); document.write( " Do not reject
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\n" ); document.write( "So far I have t=xbar-mean/s squareroot6\r
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Algebra.Com's Answer #615688 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

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Given the following hypotheses: \r\n" );
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document.write( "H0 : μ = 400 \r\n" );
document.write( "\r\n" );
document.write( "H1 : μ ≠ 400 \r\n" );
document.write( "\r\n" );
document.write( "A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:\r\n" );
document.write( "\r\n" );
document.write( "a. \r\n" );
document.write( "State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)\r\n" );
document.write( " \r\n" );
document.write( "Reject H0 when the test statistic is (Click to select)insideoutside the interval (,  ). \r\n" );
document.write( "\r\n" );
document.write( "b. Compute the value of the test statistic. (Round your answer to 3 decimal places.) \r\n" );
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document.write( "Value of the test statistic    \r\n" );
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document.write( "c. What is your decision regarding the null hypothesis? \r\n" );
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document.write( "Do not reject \r\n" );
document.write( "Reject \r\n" );
document.write( " \r\n" );
document.write( "So far I have t=xbar-mean/s squareroot6\r\n" );
document.write( "\r\n" );
document.write( "Having trouble understanding how to find all of it, im so lost... :.(

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a.
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document.write( "Decision rule: Reject null or  if the test statistic is OUTSIDE the interval: - 3.106 to 3.106
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document.write( "b.
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document.write( "c. 
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document.write( "With significance level (α) of .01, and degree of freedom of 11 (12 – 1), the t-critical values are: - 3.106 and 3.106. 
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document.write( "The test statistic: 4.041 is greater than the right t-critical value: 3.106, and therefore falls in the reject region
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document.write( "Decision: Reject null or Reject : μ = 400.  
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document.write( "There is sufficient evidence to warrant the rejection of the null hypothesis that:  \n" );
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