2. [6] Below is data from a sample of elected presidents and their main opponent in the same year. Isthere sufficient evidence (at a = 0.05) to show that president elects are taller than the losing candidate?Height (cm) of PresidentHeight (cm) of Opponent189173183180179184184180180175180179180181Show rejection regions withlabelled critical value(s)Но:Hi:Critical Value(s):Test Statistic:[Must state what test stat is being used (z, t, etc.) the formula being used, and what values aresubstituted into the formula for full credit. Simply writing a number will not earn credit] P-Value:State the conclusion of the test in the context of the problem (for example, not just "reject null",does it mean for this specific problem):but what

Answered: 2. [6] Below is data from a sample of…

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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To test the null hypothesis that the difference between two population proportions is equaluse StatCrunch or the formulaz =(p1 (carat) - p2 (Carat) / (Sq root) p1 (carat) (1 - p1 (carat)/n1 + p2(carat) (1 - p2(carat))/n2As long as n1 and n2 are both large, the sampling distribution of the test statistic z will beapproximately the standard normal distribution. Given the sample data below, test the claim that the proportion of female voters who plan to vote Republican at the next presidential election is less than the percentage of male voters who plan to vote Republican. Use the traditional method of hypothesis testing and use a significance level of 0.05.Men: n1 = 250, x1 = 146, p1(carat)=.584Women: n2 = 309, x2 = 103, p2(carat) = .333 3)a. Write the null and alternative hypotheses to test this claim. b. What is the value of the test statistic? Show you work.c. What is the associated P-value? d. State your conclusion and explain in context using ΅ = 0.05.
The height of women ages 20-29 is normally distributed, with a mean of 64.9 inches. Assume σ=2.4 inches. Are you more likely to randomly select 1 woman with a height less than 66.8 inches or are you more likely to select a sample of 14 women with a mean height less than 66.8 inches? Explain.
the central limit theorem informs the numerator of the z- score for the sample means equation. true or false?
HELP PLEASE URGENT!!!
3) Last year, the mean running time for a certain type of flash light battery was 8.5 hours. This year, the manufacturer has introduced a change in the production method which he hopes will change the mean running time. A random sample of 40 of the new light bulbs was obtained and the mean running time was found to be 8.7 hours. Do the data provide sufficient evidence to conclude that the mean running time of the new light bulbs is different from last year's mean of 8.5 hours? Perform the appropriate hypothesis test using a significance level of 0.05. Assume that standard deviation of running time of all new light bulb batteries of this type is 0.5 hours.
Employees of a state university system can choose from among four different health plans. Each plan differs somewhat from the others in terms of hospitalization coverage. Four random samples of recently hospitalized individuals were selected, each sample consisting of people covered by a different health plan. The length of the hospital stay (number of days) was determined for each individual selected. USE SALT (a) What hypotheses would you test to decide whether the mean lengths of stay are not the same for all four health plans? (Let μ₁, M₂, M3, and 4 be the true mean length of hospital stay for the four different health plans.) OH₁ H₁ = ₂ = μ3 = μ4 H₂: all four of the u.'s are different O Ho: M₁ M₂ # μ3 = μ4 H₂ : at least one pair of the four μ's are the same O Ho: M₁ = ₂ = μ3 = μ4 H₂: at least one pair of the four u.'s are different O Ho: all four of the μ's are different H₂ M₁ = M₂ = H3 = μ²4 O Ho: at least one pair of the four μ's are different H₂ : M₁ = M₂ = μ3 = μ4 (b) If each…

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