Consider the following hypothesis test.Ho: μ-122=0Ha: M-μ₂0The following information was obtained from independent random samples.Assume normally distributed populations with equal variances.Sample 1Sample 2Sample Mean4542Sample Variance8590Sample Size1012The pooled sample variance is_The test statistic isThe degrees of freedom for the t-distribution are

Introduction: The null and alternative hypotheses are as follows: H0: μ1 – μ2 = 0 versus Ha: μ1 – μ2…

Answered: Consider the following hypothesis test.…

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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Saccharin and Sucralose are compared with respect to their effect on body weight. The weight change was observed over a 12 week period and the following results were obtained. Assume normal distributions for both samples and unequal variances. Test the null hypothesis that the means are equal against the alternative that they are not using a 5% significance level. The value of the test statistic and the decision are Group Saccharin Sucralose n 25 24 2.60; reject the null hypothesis 0.43 do not reject the null hypothesis 2.02, reject the null hypothesis 0.53 do not reject the null hypothesis sample mean 1.17 -0.84 sample standard deviation 2.56 2.84
3. Which of the following are practical ways to assess equal variances of the residuals? Select all that apply a. Hartley's F-max test (provided data look normal and sample sizes are same); b. Bartlett's test (provided normality seems to hold; sample sizes do not have to be the same); c. Levene's test (normality and equal sample sizes aren't needed) d. Boxplots of residuals, or boxplots of standardized residuals, or boxplots of the original data. e. Boxplots of cats and dogs.
The following information was obtained from two independent samples randomly selected from tvo normally distributed population with unknown but equal variances. Mean Standard deviation Sample size Sample 1 15.55 3.26 20 Sample 2 13.97 3.78 21 What is the point estimate of the population variance? OA. 13.144 OB. 12.205 OG.3.527 OD.3.536 web.whatsapp.com - now
The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 83 70 46 71 54 53 88 60 39 70 48 xj 50 78 58 sj2 96.67 79.33 88.00 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is…
Show the: Hypothesis Level of significance t-test for independent samples Decision Rule Decision Conclusion
Violation of which assumption below for the two-factor ANVOA is not a cause for concern with large sample sizes? a. The populations from which the samples are selected must have equal variances. b. The populations from which the samples are selected must be normal. c. A violation of any assumption below would be a concern, even with large sample sizes. d. The observations within each sample must be independent.
Test the claim about the differences between two population variances a and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o so, a = 0.05 Sample statistics: s, = 705, n, =3, s = 368, n, = 9 Find the null and alternative hypotheses. OA Hoio> Hạ: o so3 OC. Hoi o z0 H,: o
ou may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 82 70 46 71 53 53 87 60 39 64 45 xj 50 76 57 sj2 96.67 108.67 112.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0: ?1 = ?2 = ?3Ha: Not all the population means are equal. H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3H0: At least two of the population means are equal.Ha: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that…
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1. The tables below show the results of an independent samples t-test in SPSS conducted using the SPSS data we have been using this semester. Two groups ("Yes" and "No") are compared on their "final". Yes and no refer to whether they attended the review sessions or not. Review the results carefully and answer the questions below. (12 points) final final Attended review sessions? No Yes Equal variances assumed Equal variances not assumed Levene's Test for Equality of Variances F Group Statistics 219 Sig. N .641 35 70 t -2.693 d. What are the df for the t-test we use? 103 Mean Independent Samples Test -2.719 59.83 64.14 Std. Deviation 7.591 7.810 df Sig. (2-tailed) 103 .008 69.872 .008 e. Are the groups significantly different from each other? f. Which group scored higher? Yes Group No Group The two groups are not significantly different_ t-test for Equality of Means Mean Difference -4.314 Std. Error Mean -4.314 1.283 .933 Std. Error Difference 1.602 1.587 95% Confidence Interval of the…
Please don’t use programming to answer the question. Please don’t use codes as an answer for the question.
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