Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population2 does not. The data from these two samples is given below:Population 1: 68, 67, 69, 62, 72, 66, 70Population 2: 70, 73, 77, 72, 70, 70, 77, 71Is there evidence, at an a = 0.035 level of significance, to conclude that there those who exercise regularly havelower resting heart rates? (Assume that the population variances are equal.) Carry out an appropriate hypothesistest, filling in the information requested.A. The value of the standardized test statistic:Note: For the next part, your answer should use interval notation. An answer of the form (-00, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form (-00, a) U (b, o0) isexpressed (-infty, a)U(b, infty).B. The rejection region for the standardized test statistic:C. The p-value isD. Your decision for the hypothesis test:OA. Do Not Reject H1.OB. Do Not Reiect Ho

Given data : Population 1: 68, 67, 69, 62, 72, 66, 70 Population 2: 70, 73, 77, 72, 70, 70, 77, 71

Answered: Population 1: 68, 67, 69, 62, 72, 66,…

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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One fair coin is tossed 25 times, let X be the number of getting heads out of those 25 tossing experiments. What is the mean and variance of X? 12 and 6.25 12.5 and 6.25 10 and 2.5 12.5 and 2.5
Assuming that other factors are held constant, which approach would tend to increase the likelihood of rejecting the null hypothesis? a. Decrease the sample mean difference. b. Increase the sample variance. c. Increase the sample mean difference. d. Decrease the sample size.
Does color enhance creativity? Test the indicated claim about the standard deviations or variances of two populations. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.05 significance level, test the claim that those tested with red background have creativity scores with a standard deviation equal to the standard deviation for those tested with a blue background. Red Background Blue Background n1 = 39 n2 = 34 xˉx̄1 = 19.6 xˉx̄2 = 20.5 s1 = 0.72 s2 = 0.01 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer x̄₂ x̄₁ μ(red) p₂ p μ₁ μ₂ σ₁ s₁² σ(red) p₁ μ p̂₁ ? ≠ < > ≤ ≥ = Select an answer μ₁ μ₂ p₁ μ(blue) p σ₂ p₂ σ(blue) s₁² x̄₁ x̄₂ μ p̂₁ H1: Select an answer μ σ₁ x̄₁ μ(red) p̂₂ p₁ s₂² p₂ μ₂ μ₁ σ(red) x̄₂ p ? ≤ ≥ ≠ > = < Select an answer μ(blue) σ(blue) p μ μ₁ p₁ x̄₂ s₁² x̄₁ σ₂ p̂₁ p₂ μ₂…
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II wu.aleks.com A Students Home 6McGraw Hill Campus A ALEKS-Anna Bergstr... Untitled O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the population mean: t test using the critical... SAC A Du A coin-operated drink machine was designed to discharge a mean of 6 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 22 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 5.88 fluid ounces and 0.24 fluid ounces, respectively. Españot If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge, u, differs from 6 fluid ounces? Use the 0.10 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H.…

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