Question

In: Statistics and Probability

1. For a two-tailed, independent samples t-test, the alternative hypothesis would look like μ1−μ2≠0, whereas the...

1. For a two-tailed, independent samples t-test, the alternative hypothesis would look like μ1−μ2≠0, whereas the null hypothesis would look like μ1−μ2=0.   True or False?

2. When the null hypothesis is true, the mean of the sampling distribution of differences between means is equal to the mean of the population that the samples represent. True or False?

3. In a related-samples t-test, if there is no treatment effect we expect that μD will equal 0 (zero). True or False?

Solutions

Expert Solution

1. TRUE

2. TRUE

3. TRUE                                                                                                                                                       


Related Solutions

Consider the hypothesis test with null hypothesis μ1=μ2 and alternative hypothesis μ1 > μ2.Suppose that sample...
Consider the hypothesis test with null hypothesis μ1=μ2 and alternative hypothesis μ1 > μ2.Suppose that sample sizes n1 = 10 and n2 =10, that the sample means are 4.9 and 2.8 respectively, and that the sample variances are 2 and 3 respectively. Assume that the population variances are equal and that the data are drawn from normal distributions. a) Test the hypothesis that at α= 0.05 and provide a conclusion statement b) Provide an adequate confidence interval with 95% confidence...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.8 s2 = 8.2 (a) What is the value of the test statistic? 2.153 correct (b) What is the degrees of freedom for the t distribution? (Round your answer...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.9 s2 = 8.1 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t...
Test the claim that μ1 = μ2. Two samples are random, independent, and come from populations...
Test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that σ 21 ≠ σ 22. Use α = 0.05. n1 = 25 n2 = 30 x1 = 18 x2 = 16 s1 = 1.5 s2 = 1.9
Suppose you want to test the claim that μ1 = μ2. Two samples are random, independent,...
Suppose you want to test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that σ 2 1 = σ 2 2. At a level of significance of α = 0.05, when should you reject H0? n1 = 14 n2 = 12 x1 = 21 x2 = 22 s1 = 2.5 s2 = 2.8
Suppose you want to test the claim that μ1 > μ2. Two samples are random, independent,...
Suppose you want to test the claim that μ1 > μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that  ≠ . At a level of significance of , when should you reject H0? n1 = 18 n2 = 13 1 = 595 2 = 580 s1 = 40 s2 = 25
Suppose you want to test the claim that μ1 = μ2. Two samples are random, independent,...
Suppose you want to test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that variances of two populations are not the same (σ21≠ σ22). At a level of significance of α = 0.01, when should you reject H0? n1 = 25 n2 = 30 x1 = 27 x2 = 25 s1 = 1.5 s2 = 1.9 Reject H0 if the standardized test...
Find the critical value, t0, to test the claim that μ1 < μ2. Two samples are...
Find the critical value, t0, to test the claim that μ1 < μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that σ21(variance 1)= σ22(variance 2). Use α = 0.05. n1 = 15 n2 = 15 x1 = 22.97 x2 = 25.52 s1 = 2.9 s2 = 2.8
Find the critical values, t0, to test the claim that μ1 = μ2. Two samples are...
Find the critical values, t0, to test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that . n1 = 25 n2 = 30 1 = 25 2 = 23 s1 = 1.5 s2 = 1.9
Below you will find the null and alternative hypothesis for an ANOVA: H0: μ1 = μ2...
Below you will find the null and alternative hypothesis for an ANOVA: H0: μ1 = μ2 = μ3 H1: at least one of the means is different. For Data Set B, based on the p-value and F vs. F critical values we found above, do we fail to reject the null hypothesis? Or, do we reject the null hypothesis? Group of answer choices Fail to Reject Reject Using Data Set B, run the Single Factor ANOVA in Excel, as we...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT