document.write( "Question 1197695: A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. You believe it is higher. You take a simple random sample of 34 people in the U.S. and find an average of 53.8 pounds with a standard deviation of 6 pounds. Test at 10% significance
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Algebra.Com's Answer #831088 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Ho:  µ = 48.8\r\n" );
document.write( "Ha:  µ > 48.8\r\n" );
document.write( "n = 34, x̄ = 53.8    s = 6\r\n" );
document.write( "As population sd is not known, used a t-test vs a z- test (either is fine n >30)\r\n" );
document.write( "0.10 significance level,  Critical value = 1.3077  (df 33)\r\n" );
document.write( "  = 4.859\r\n" );
document.write( " 4.859 >  1.3077  Reject Ho\r\n" );
document.write( "P(z ≤ 4.859, df 33) = .00001 < .05 Reject Ho\r\n" );
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document.write( "If Using a Standard z-Distribution: \r\n" );
document.write( " 4.859 >  1.282  Reject Ho\r\n" );
document.write( "P(z ≤ 4.859) = .0000006 < .05 Reject Ho\r\n" );
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