If 8 short range rockets of one kind have a mean target error of x₁ = 98 metres with astandard deviation of s₁ = 18 metres while 10 rockets of another kind have a meantarget error of x₂ = 76, with standard deviation of s₂ = 15 metres. Assume that thetarget errors for the two types of rockets are normally distributed and that they havea common variance.(a) Given that the common variance is not known, state why the statistic T given(x₁ - x₂) - (μ₁ −μ₂)is a pivotal quantity, stating clearly its distribution.-by T =1 1SP₁ - +(b)(c)Where S=n₁ n₂(n₁ − 1)s² + (n₂ − 1)²n₁ + n₂-2Find the point estimate of μ₁ - 1₂.Use the pivot quantity in (a) to derive a two sided (1-a)100% confidenceinterval for the difference between two population means, μ₁ - ₂.

a) Explanation: In the given situation, the confidence interval was constructed for difference…

Answered: If 8 short range rockets of one kind…

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.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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A team of researchers wanted to prove that natural rather than pharmaceutical products are the way to go. Thus, they set out to determine if their improved sugarcane extract is more effective than Remdesivir, a drug used to treat viral infections. Assume that the population variance of sugarcane extract is 14380.62 while the population variance of Remdesivir is 13447.04. The data set on the right shows the results of the patients' viral load in copies/mL. Test the claim at alpha = 0.05 using the traditional method.4. Give the null hypothesis in words.5. Give the alternative hypothesis in words.6. Determine the critical value or p-value ().7. Identify what test to be used.8. Explain why this test is most appropriate.9. Make the decision using specific evidence.10. Summarize the results for the study.
A certain type of thread is manufactured wen a mean tensile strength of 75.3 klograms and a standard deviation of 4.8 kilograms. How is the variance of the sample mean changed when the sample size (a)increased from 64 to 900 ? (b) decreased from 256 to 36 ?
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A team of researchers wanted to prove that natural rather than pharmaceutical products are the way to go. Thus, they set out to determine if their improved sugarcane extract is more effective than Remdesivir, a drug used to treat viral infections. Assume that the population variance of sugarcane extract is 14380.62 while the population variance of Remdesivir is 13447.04. The data set on the right shows the results of the patients' viral load in copies/mL. Test the claim at alpha = 0.05 using the traditional method.1. Give the null hypothesis in symbols. 2. Give the alternative hypothesis in symbols. 3. Identify the tail of the test. 4. Give the null hypothesis in words. 5. Give the alternative hypothesis in words. 6. Determine the critical value or p-value (). 7. Identify what test to be used. 8. Explain why this test is most appropriate. 9. Make the decision using specific evidence. 10. Summarize the results for the study.
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