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Hypothesis testing examples from Weiers

Hypothesis testing examples from Weiers. X = 7.2 years. Page 380, Problem 10.44. Local YMCA: Average membership age is 8.7 years. Hypothesis: m = 8.7 years. Sample: n = 15 member files. S = 2.5 years a = .05. X = 7.2 years. Page 380, Problem 10.44.

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Hypothesis testing examples from Weiers

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  1. Hypothesis testing examples from Weiers

  2. X = 7.2 years Page 380, Problem 10.44 Local YMCA: Average membership age is 8.7 years. Hypothesis: m = 8.7 years. Sample: n = 15 member files. S = 2.5 years a = .05

  3. X = 7.2 years Page 380, Problem 10.44 Local YMCA: Average membership age is 8.7 years. Hypothesis: m = 1.76 cups per day. n = 15 Form a 95% confidence interval: t( ) = 2.145 .025, 14 S = 2.5 years a = .05 2.5 15 7.2 ± 2.145  7.2 ± 1.3846 My 95% CI is (5.8154, 8.5846) years.

  4. Page 380, Problem 10.44 Local YMCA: Average membership age is 8.7 years. Hypothesis: m = 8.7 years. My 95% CI is (5.8154, 8.5846) Decision: Since 8.7 does NOT fall withinmy CI, reject the hypothesis. 8.7 is NOT a plausible value for the true mean. Conclusion: The true mean age of membership a the local YMCA is not 8.7 years.

  5. X = 1.96 cups per day Page 380, Problem 10.42 International Coffee Association reports for the population of US residents over 10 years of age mean daily coffee consumption is 1.76 cups per day. Hypothesis: m = 1.76 cups per day. Sample: n = 38 people over 10 years from a North Carolina city. S = .85 cups per day a = .05

  6. X = 1.96 cups/day Page 380, Problem 10.42 Is the true population mean for this city differentthan that for all US residents over 10 years of age? Hypothesis: m = 1.76 cups per day. n = 38 Form a 95% confidence interval: t( ) = 2.026 .025, 37 S = .85 cups/day a = .05 .85 38 1.96 ± 2.026 1.96 ± .2794 My 95% CI is (1.6806, 2.2394) cups per day.

  7. Page 380, Problem 10.42 Is the true population mean for this city differentthan that for all US residents over 10 years of age? Hypothesis: m = 1.76 cups per day. My 95% CI is (1.6806, 2.2394) Decision: Since 1.76 DOES fall withinmy CI, do not reject the hypothesis. Conclusion: There is not sufficient evidence to indicate that the mean coffee consumption for residents of thisNorth Carolina city over the age of 10 is different than that of all US residents over the age of 10.

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