When the standard deviations are equal but unknown, a test for the differences between two population means has n − 1 degrees of freedom.
True or False
False,because in case of test for differences between two population means, one sample size is n_1 and other sample size is n_2, so the degree of freedom is n_1+n_2 -2.
for further any further please comment and thank you.
If we are testing for the difference between two population means and assume that the two populations have equal but unknown standard deviations, the sample standard deviations are pooled to compute the best estimated variance.
When the standard deviations are equal but unknown, a test for the differences between two population...
When the standard deviations are equal but unknown, a test for the differences between two population means has n − 1 degrees of freedom. True or False?
The degrees of freedom for the appropriate critical value with a hypothesis test comparing two population means with population variances that are unknown but assumed to be equal are determined by . Select one: True False
What specifically should one be looking for with respect to the test intervals when analyzing possible differences between two population standard deviations using the notion of confidence intervals.
How is the test statistic for a claim about 2 population means, independent samples, standard deviations unknown, similar to the test statistic for 1 population mean, standard deviation unknown?
Two independent simple random samples are taken to test the difference between the means of two populations whose standard deviations are not known, but are assumed to be equal. The sample sizes are n 1 = 25 and n 2 = 30. The correct distribution to use is the t distribution with _____ degrees of freedom.
A two–independent sample t-test is computed when mean differences are compared between two or more groups sampled from a population with an unknown variance. Question 2 options: True or False
In comparing two population means, an unpaired test provides more precise results than a paired test because the unpaired test uses two independent samples while the paired test uses a single sample. True O False Question 2 1 pts When comparing two population means, if the variations which are unique to each population are very small compared to the variations which are common to both populations, it is reasonable to assume that the population standard deviations are not equal. O...
A 90% confidence interval for the difference between the means of two independent populations with unknown population standard deviations is found to be (-0.2, 5.4). Which of the following statements is/are correct? CHECK ALL THAT APPLY. A. A two-sided two-sample t-test testing for a difference between the two population means is not rejected at the 10% significance level. B. The standard error of the difference between the two observed sample means is 2.6. C. A two-sided paired t-test testing for...
A 90% confidence interval for the difference between the means of two independent populations with unknown population standard deviations is found to be (-0.2, 5.4). Which of the following statements is/are correct? CHECK ALL THAT APPLY. A. The null hypothesis that the two population means are equal is not rejected at the 10% significance level using a two-sided paired tt-test. B. The null hypothesis that the two population means are equal is rejected at the 10% significance level using a...
13. If the populations are normally distributed and the population variances are equal but unknown, the tstatistic for testing the hypotheses about the difference between the two population means using samples of size 20 and 30 has a degree of freedom equal to ___. A. 48 B. 50 C. 19 D. 29