document.write( "Question 1091475: Residents of Hawkins, Indiana, believe something has affected the growth of adult males. Let µ = average height of an adult male born in Hawkins, Indiana. The city wants to test Ho: µ = 69 inches against Ha: µ ≠ 69 inches. A random sample of 36 males born in Hawkins yields xbar = 67.5 and s = 4. For α = 0.05, what do you conclude?\r
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Algebra.Com's Answer #706150 by rothauserc(4718)\"\" \"About 
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the random sample is > 30 so we can use a normal distribution
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\n" ); document.write( "alpha = 0.05
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\n" ); document.write( "Note that mu is the population mean
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\n" ); document.write( "Ho: population mean = 69 inches
\n" ); document.write( "Ha: population mean is not = 69 inches
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\n" ); document.write( "Ha implies a two-tailed hypothesis test
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\n" ); document.write( "the standard error(SE) is s/square root(n) = 4/square root(36) = 0.6666 approx 0.67
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\n" ); document.write( "the test statistic z = (67.5 - 69) / 0.67 = -2.238
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\n" ); document.write( "because this is a two-tailed test we divide alpha by 2, 0.05/2 = 0.025 and the associated z-value is 1.96 and -1.96
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\n" ); document.write( "we reject Ho because -2.238 < -1.96
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