In order to compare the means of two normal populations that are known to have equal variances,independent random samples are taken of sizes n1 = 10 and n2data yield:= 15. The results from the sampleSample 1Sample 2sample mean = 52sample mean = 45S1 5S2 = 3Sp 3.9065%3DTo test the null hypothesis Ho: H1 - H2=0 versus the alternative hypothesis H,: µ1 -µ2> 0 at the0.01 level of significance, the most accurate statement isO The value of the test statistic is -8.48 and the critical value is -2.5O The value of the test statistic is 4.39 and the critical value is 1.96O The value of the test statistic is -4.39 and the critical value is -1.96The value of the test statistic is 3.79 and the critical value is 2.326The value of the test statistic is 8.48 and the critical value is +2,50

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Answered: In order to compare the means of two…

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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Two samples of sizes 25 and 20 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal. The number of degrees of freedom of the equal-variances t-test statistic is ?
Two independent samples of respective sizes 6 and 8, respective means 78 and 96, and respective standard deviations 3 and 9, were selected from two normal populations with equal variances. Need to test the null hypothesis that the two population means are equal versus they are different. Based on these two samples, we can conclude the following about this test at α = 0.05 a. the value of the test statistic is 2.5205 and the the cut-off value is 2.201 , so we reject H0 b. the value of the test statistic is 2.49971 and the the cut-off value is 1.64 , so we accept H0 c. None of these d. the value of the test statistic is 2.49971 and the the cut-off value is 1.28 , so we reject H0 e. the value of the test statistic is 2.5205 and the the cut-off value is 1.782 , so we accept H0
In building an arena, steel bars with mean ultimate tensile strength of 400 megapascal(Mpa) with a variance of 81 Mpa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypotheses whether or not there is no significant difference between the two means using a two-tailed test with a=0.01. 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistics to be used and the reasons for its selection? 3. What is the critical value of c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation.
Two different brands of milk are randomly samples, and the fat content in each bottle of mild isdetermined. Twenty six bottles of Brand A yielded an average fat content of 26 grams with a standarddeviation of 5 grams, and 31 bottles of Brand B yielded an average fat content of 25.8 grams with astandard deviation of 7 grams. Test the hypothesis at the 10% level of significance that the variances are different.
A sample of size 11 produced a variance of 18. Is this sufficient to reject the null hypothesis that σ2 = 6 when tested using a 0.05 level of significance?
In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with α = 0.01. What are the appropriate hypotheses for the two-tailed test? What is the test statistic to be used and the reasons for its selection? What is the critical value c? What is the value of the test statistic or the computed value? Formulate a conclusion about the given situation.
A random sample of 32 items from the first population showed a mean of 112 and a standard deviation of 19. A sample of 28 items for the second population showed a mean of 106 and a standard deviation of 8. Test the assumption that the population variances are equal with 0.10 significance level. Then, using a 0.05 significance level, test the hypothesis that the population means are equal.
In a test of H0: μ = 3 against HA: μ not equal to 3, the sample data with sample size 10 from a normal distribution with unknown variance yielded a test statistic Tobs = 1.21. Determine if the data provides enough evidence to reject the null hypothesis at level of significance .05? Group of answer choices Since p-value < .05, data does not provide sufficient evidence to reject the null hypothesis at level .05.. Since p-value < .05, data provides sufficient evidence to reject the null hypothesis at level .05. Since p-value > .2, data provides sufficient evidence to reject the null hypothesis at level .05. Since p-value > .2, data does not provide sufficient evidence to reject the null hypothesis at level .05..
A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 61 doors is made, and it is found that they have a mean of 2044 millimeters with a variance of 729. Is there evidence at the 0.05 level that the doors are either too long or too short? State the null and alternative hypotheses for the above scenario.
In building an arena , steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa ) with a variance of 81 MPa were delivered by the manufacturer . The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa The decision for the extension of the contract with the manufacture depends on the engineer . Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with a = 0.01 1. What are the appropriate hypotheses for the two tailed test ? 2. What is the test statistic to be used and the reasons for its selection ? 3. What is the critical value c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation

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