Suppose the following hypotheses are to be tested.Ho : UA= UB and H₁ HANBfor two populations in which the population variances are known and have the values o² = 12 ando = 15 respectively.Two samples of sizes 29 and 9 respectively were collected. The data were not paired. According to theflowcharts presented in M140, which hypothesis test should be used?(You may assume that any additional requirements for your selected test, such as normality and/or equalpopulation variances are satisfied.)Select one:Matched-pairs t-testSign testTwo-sample t-testX² test for contingency tablesOne-sample z-testOne-sample t-testTwo-sample z-test

The object is to identify the appropriate choice of test (for testing the indifference between…

Answered: Suppose the following hypotheses are to…

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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Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. H0: μ1−μ2=0 x1=14.5 x2=13.0 H1: μ1−μ2≠0 s1=2.6 s2=3.3 n1=22 n2=15 a. Calculate the appropriate test statistic and interpret the result. The test statistic is? The critical value(s) is(are)? b. Identify the p-value from part a and interpret the result.
1. Independent random samples of 80 measurements were drawn from two quantitative populations, 1 and 2. Here is a summary of the sample data: Sample 1 Sample 2 Sample Size 80 80 Sample Mean 11.6 9.7 | Sample variance 27.9 38.4 a. If your research objective is to show that Hi is larger than 42, state the alternative and the null hypotheses that you would choose for a statistical test. b. Calculate the test statistic that you would use for the test in part a. Based on your knowledge of the standard normal distribution, is this a likely or unlikely observation, assuming that Ho is true and the two population means are the same? c. p-value approach: Find the p-value for the test. Test for a significant difference in the population means at the 1% significance level. d. Critical value approach: Find the rejection region when a =0.01. Do the data provide sufficient evidence to indicate a difference in the population means?
Chapter 9: Hypothesis Tests for a Single Population Proportion Score: 4/14 4/14 answered Question 1 Test the claim that the proportion of men who own cats is smaller than 20% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.2 Ho:p= 0.2 Ho:p 0.2 H1:p 0.2 H1:µ 7 0.2 H1:µ > 0.2 H1:p< 0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 600 people, 15% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Question Help: Message instructor Submit Question ch
A researcher hypothesized that score differed between the first and the last rounds of major U.S. golf tournaments. Here are the paired data for randomly selected golfers from the 2021 U.S. Open. At the 0.05 level of significance , is there a difference? The score of major golf tournaments Golfer 1 3 4 5 6 Round 1 185 178 175 183 193 173 Round 2 171 180 173 175 188 178 The hypothesis test is as following: Ho: Hd = 0 H1: µd #0 Test statistic t Hint: Find d-bar and Sd, then find the test statistic.
Carry out the hypothesis test for the mean of a normally distributed population given the following information: Ho: µ ≥2.5 Ha: µ ≠2.5 Sample size = 30 mean = 1.8, variance =1.7, α = .05
What impact does fast-food consumption have on various dietary and health characteristics? A research article reported the accompanying summary statistics on daily calorie intake for a representative sample of teens who do not typically eat fast food and a representative sample of teens who do eat fast food. Scenario 5 Sample Sample Sample Size Mean SD Do not eat fast 666 food 2257 1514 Eat fast 415 food 2636 1139 For hypothesis testing, state your hypotheses, using Heat Unot eat, find the test statistic, find the P- value, and interpret your result. 1. Construct a C-level confidence interval estimate of the difference in mean daily calorie intake for teens who do eat fast food on a typical day and those who do not, where C is 80%, 90%, 99%. 2. Is there convincing evidence that the mean calorie intake for teens who typically eat fast food is greater than the mean intake for those who don't by more than 200 calories per day? Test the relevant hypotheses using a significance level of…
Consider the following competing hypotheses: Ho:μ = 0, HA:μ ≠ 0. The value of the test statistic is z = −1.56. If we choose a 5% significance level, then we __________.
. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populations
Do question 7,8 and 9 only The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The corresponding p-value is 0.0305 0.1212 0.3036 0.7724 Question 7 Suppose that the new study uses a level of significance of 0.05 to test the claim in Question 6. The probability of Type I error is 0.025 0.05 0.95 0.975 Question 8 Based on previous studies of school children who were vaccinated and contracted the flu, the time in hours that the flu symptoms last is assumed to follow a normal distribution with a mean of 20.7 hours and a standard deviation of 7.3 hours. The probability that a randomly selected school child has flu symptoms for more than 24 hours is 0.1628 0.3256 0.6744 0.8372 Question 9 Suppose that a random sample of 5 vaccinated school children is taken. Assuming the…
a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) %3D e. The p-value is> va f. Based on this, we should fail to reject vthe null hypothesis. g. Thus, the final conclusion is that ...
In case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor false
Consider the following study in which standing and supine systolic blood pressures were compared. This study was performed on twelve subjects. Their blood pressures were measured in both positions. Subject Standing Supine1 132 1362 146 1453 135 1404 141 1475 139 1426 162 1607 128 1378 137 1369 145 14910 151 15811 131 12012 143 150I. state the hypothesis II. find the test statisticIII. what is the dfIV. if the p-value associated with test statistics is 0.144 and alpha is 0.05, can we say that On average there is a difference between the blood pressures in the two populations

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