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and X₂ = 7.7 and that s² = 4 and s Consider the hypothesis test Ho: ₁ = 2 against H₁: M₁ M₂. Suppose that sample sizes are n₁ = 15 and n2 = 15, that x₁ = 4.8 6.24. Assume that o? = 0 and that the data are drawn from normal distributions. Use = α = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ß = 0.05 if the true difference in means is -2? Assume that a = 0.05. (a) The null hypothesis rejected. The P-value is i . Round your answer to four decimal places

and X₂ = 7.7 and that s² = 4 and s Consider the hypothesis test Ho: ₁ = 2 against H₁: M₁ M₂. Suppose that sample sizes are n₁ = 15 and n2 = 15, that x₁ = 4.8 6.24. Assume that o? = 0 and that the data are drawn from normal distributions. Use = α = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ß = 0.05 if the true difference in means is -2? Assume that a = 0.05. (a) The null hypothesis rejected. The P-value is i . Round your answer to four decimal places

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 10E
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10.1-2 4 please help thanks
Consider the hypothesis test Ho: M₁ = μ₂ against H₁: M₁ M₂. Suppose that sample sizes are n₁ = 15 and n₂ = 15, that x₁ = 4.8 and X2 = 7.7 and that s = 4 and s2 = 6.24. Assume that o2 = 0 and that the data are drawn from normal distributions. Use α = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ß = 0.05 if the true difference in means is - 2? Assume that a = 0.05. (a) The null hypothesis (e.g. 98.7654). (b) The power is i (c) n₁ = n₂ = i ✓rejected. The P-value is i . Round your answer to four decimal places . Round your answer to two decimal places (e.g. 98.76). . Round your answer to the nearest integer. Statistical Tables and Charts
Transcribed Image Text:Consider the hypothesis test Ho: M₁ = μ₂ against H₁: M₁ M₂. Suppose that sample sizes are n₁ = 15 and n₂ = 15, that x₁ = 4.8 and X2 = 7.7 and that s = 4 and s2 = 6.24. Assume that o2 = 0 and that the data are drawn from normal distributions. Use α = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain ß = 0.05 if the true difference in means is - 2? Assume that a = 0.05. (a) The null hypothesis (e.g. 98.7654). (b) The power is i (c) n₁ = n₂ = i ✓rejected. The P-value is i . Round your answer to four decimal places . Round your answer to two decimal places (e.g. 98.76). . Round your answer to the nearest integer. Statistical Tables and Charts
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