Let X~ N(ux, o) and Y ~ N(μy, o). Suppose we are given the following indepen-dently sampled data for X and Y³:sample for Xsample for Y: 24.8 12.8 11.1 11.1 15.9 12.2 18.3 8.9 5.6 12.8 17.3 11.3: 26.626.3 25.2 23.3 22 20.2 26.1 21.1 14.6 14.5 21.8 22.821.5 22.3 3111.5Compute a 95% confidence interval of px - μy(i) using the knowledge that o = o} = 4.7;(ii) assuming we do not know the values of σx, σy, but we still know that σx = Ốy = 0for some unknown σ.

Given the sample data for X and Y : X Y 24.8 26.6 12.8 26.3 11.1 25.2 11.1 23.3 15.9 22…

Answered: Let X ~ N(μx, o) and Y ~ N(µy, o?).…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =
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1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…

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