SOLUTION: 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
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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?
You can put this solution on YOUR website! the random sample is > 30 so we can use a normal distribution
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alpha = 0.05
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Note that mu is the population mean
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Ho: population mean = 69 inches
Ha: population mean is not = 69 inches
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Ha implies a two-tailed hypothesis test
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the standard error(SE) is s/square root(n) = 4/square root(36) = 0.6666 approx 0.67
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the test statistic z = (67.5 - 69) / 0.67 = -2.238
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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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we reject Ho because -2.238 < -1.96
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