Assume that both populations are normally distributed.a) Test whether μ₁ > μ₂ at the α = 0.10 level of significance for the givensample data.b) Construct a 90% confidence interval about μ₁ −μ₂.Click the icon to view the Student t-distribution table.a) Perform a hypothesis test. Determine the null and alternative hypotheses.t=A. Ho: H₁H₂, H₁: H₁ H₂B. Ho: H₁H2, H₁: H₁ H₂C. Ho: M₁ = H₂, H₁: H₁

The provided information is as follows:For the sample 1The sample size is .The sample mean is .The…

Answered: Assume that both populations are…

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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For the hypothesis test, H0 : β = β0 vs. H1: β does not equal β1, suppose a valid likelihood ratio test (LRT) can be performed by rejecting the null hypothesis if 2{l(βhat) - l(β0))} > X^2 df, alpha. Which of the following is a valid (1-alpha)100 confidence interval (CI) for the β0? a. {β0: 2{l(βhat) - l(β0))} > Zalpha} b. {β0: 2{l(βhat) - l(β0))} <or equal to Zalpha} c. {β0: 2{l(βhat) - l(β0))} <or equal to X^2df, alpha} d. {β0: 2{l(βhat) - l(β0))} > X^2df, alpha}
for a sample size of 12 and a 90% confidence interval, the t statistic used to estimate U would be.
1. The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes. Participant BMI (kg/m2) A 26.5 B 19.2 C 29.7 D 27.4 E 30.2 F 28.9 A) Assuming the participants can be considered to be normally distributed, and that they comefrom a population with a σ=2.4 kg/m2, calculate a 95% confidence interval for the mean BMI ofthe population for which they represent.B) Correctly interpret the confidence interval you found above.
Refer to Exercise 16 in Section 9.1. a) Use the Fisher LSD method to find a 95% confidence interval for the difference between the means for a diameter of 16 and a diameter of 36. b) Use the Tukey–Kramer method to determine which pairs of diameters, if any, differ at the 5% level.
For a population data set sigma = 12.7 How large a sample should be selected so that the margin of error of estimate for a 96 confidence interval for u is 3.20?
The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes. Participant BMI (kg/m2) A 26.5 B 19.2 C 29.7 D 27.4 E 30.2 F 28.9 A) Assuming the participants can be considered to be normally distributed, and that they come from a population with a σ=2.4 kg/m , calculate a 95% confidence interval for the mean BMI of the population for which they represent and correctly interpret the confidence interval you found.
The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes. Participan t BMI (kg/m2) A 26.5 B 19.2 C 29.7 D 27.4 E 30.2 F 28.9 A) Assuming the participants can be considered to be normally distributed, and that they come from a population with a σ=2.4 kg/m , calculate a 95% confidence interval for the mean BMI ofthe population for which they represent.
An automotive company is considering two types of batteries for its automobile. Sample information on the life of the battery is collected for 20 batteries of type A and 20 batteries of type B. The summary statistics are XA = 40.21, xB = 39.53, SA = 1.23, and SB= 1.59. Assume the data on each battery are normally distributed and assume σA = σB.(a) Find a 95% confidence interval on μA – μB.(b) Draw some conclusion from (a) that provides some insight into whether A or B should be adopted.
A random sample of 12 hollyhock plants grown from the seed in a particular packet wastaken, and the height of each plant was measured, in m. The results are summarized by∑ ?ᵢ = 28.43, ∑ ?ᵢ² = 88.4704.Making a suitable assumption about the distribution of heights, which should be stated, find a90% confidence interval of the form of(?, ?), for the mean height of hollyhock plants grownfrom that packet.
Consider the following data drawn independently from normally distributed populations: x−1x−1 = −1.6 x−2x−2 = −16.3 s12 = 8.9 s22 = 7.9 n1 = 23 n2 = 15 a. Construct the 95% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is __________ to ___________ b. Specify the competing hypotheses in order to determine whether or not the population means differ. multiple choice 1 H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≥ 0; HA: μ1 − μ2 < 0 H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 > 0 c. Using the confidence interval from part a, can you reject the null hypothesis? multiple choice 2 Yes, since the confidence interval includes the hypothesized value of 0. No, since the confidence interval includes the…
A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Assume the weights of all the prepackaged meals are normally distributed. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of significance. A. What are the appropriate hypotheses? B. What is the critical value(s) of the test? C. What is the test statistic? D. What is the decision rule using the critical values? E. What is the p-value of the test? G. What is your decision?
Let X1, . . . , Xn ∼ iid N(0, τ ). Find a pivot V (X, τ ) based on a complete sufficient statistic, andusing V (X, τ ) construct a 100γ% confidence interval for τ .

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