(c) Assuming both ni and n₂ are small, suggest a pivotal function that can be used toderive a (1-a) × 100% confidence interval for (#4₁-H₂) when o = ² = 0².(d) Derive a (1 - a) x 100% confidence interval for (₁2) when both samples aresmall but of and o are known.(e) Discuss how the confidence interval in part (c) will change if both the samples arelarge.

(c) Assuming both n₁ and n₂ are small, a pivotal function that can be used to derive a (1 - α) ×…

Answered: (c) Assuming both ny and n₂ are small,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A population is distributed with a known standard deviation, σ = 18 units. A random sample of size 35 is obtained from this population. The mean of this sample is 70. True or False: Since the sample size is greater than 25 the distribution of sample means from this population should be approximately normally distributed. What is the lower limit of the 95% confidence interval for the population mean μ? (2 dp) What is the upper limit of the 95% confidence interval for the population mean μ? (2 dp). Based on your confidence interval, would you believe that the true mean of this population could be 75?
A movie studio wishes to determine the relationship between the revenue from the rental of comedies on DVD and videotape and the revenue generated from the theatrical release of such movies. The studio has bivariate data from a sample of 13 comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from DVD and videotape rentals (in millions of dollars) for each of the 13 movies. The least- squares regression equation computed from the data is y= 3.57+0.13x. The studio has plans for the DVD/video release of a comedy that grossed about 40.5 million dollars in theaters. The studio has predicted the rental revenue from this release using the regression equation and is now interested in both a prediction interval for this rental revenue and a confidence interval for the mean rental revenue of movies generating this same theater revenue. The studio has already computed the following for their data: • mean…
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(c) Assuming both ny and n₂ are small, suggest a pivotal function that can be used to derive a (1-a) x 100% confidence interval for (#4₁-4₂) when o² = 0² = 0². (d) Derive a (1-a) x 100% confidence interval for (₁-2) when both samples are small but of and o are known.