Which of the following statements is true for calculating the t-score for an independent two-sample t-test?A: We use the sample means, sample sizes, and a pooled standard deviation.B: We use the sample means, sample sizes, and the population standard deviation.C: We use the mean difference between the samples, the standard deviation of the samples, and the average sample size.D: We use the mean difference between the samples, the standard deviation of the differences, and the sample size.
Question
Which of the following statements is true for calculating the t-score for an independent two-sample t-test?A: We use the sample means, sample sizes, and a pooled standard deviation.B: We use the sample means, sample sizes, and the population standard deviation.C: We use the mean difference between the samples, the standard deviation of the samples, and the average sample size.D: We use the mean difference between the samples, the standard deviation of the differences, and the sample size.
Solution
The correct answer is A: We use the sample means, sample sizes, and a pooled standard deviation.
Here's why:
The t-score for an independent two-sample t-test is calculated using the difference between the sample means, the sample sizes, and a pooled standard deviation. The pooled standard deviation is a weighted average of the standard deviations of the two samples, which takes into account the sample sizes.
Option B is incorrect because we do not use the population standard deviation in this case. We don't usually know the population standard deviation, and the t-test is specifically designed for situations where this is unknown.
Option C is incorrect because we do not use the mean difference between the samples and the average sample size. The t-score is calculated using the actual sample sizes, not an average.
Option D is incorrect because we do not use the standard deviation of the differences. The t-score is calculated using the pooled standard deviation of the two samples, not the standard deviation of their differences.
Similar Questions
Which one of the following statements are true about a 2-Sample t-test? It is used to compare differences between two group medians The variances of the two samples are statistically different. The samples to be compared must include the same number of observations Both samples must be from normally distributed processes
The t test for the difference between the means of two independent populationsalways assumes that the respectivea. sample sizes are equalb. sample variances are equalc. populations are normally distributed if each sample size is less than 30d. All of the above
Which of the following tests should be used to evaluate the difference between the means of two normally distributed populations?An approximate t-test if the population variances are unknown and assumed unequal and the samples are assumed to be independent.An approximate t-test that involves the calculation of a pooled estimator of the population variances which are assumed unequal.A paired comparison test if the two samples are independent and the population variances are unknown
In a t-test with unknown variance, what values are used to calculate the t-statistic?Sample mean, sample standard deviation, and sample sizeSample mean, standard deviation, and sample sizeMean, sample standard deviation, and population sizeMean, standard deviation, and population size
Two Independent simple random samples are taken to test the difference between the means of two populations. The standard deviations are not known, but are assumed to be equal. The sample sizes are n1 = 15 and n2 = 35. The correct distribution to use is the t distribution with 51 degrees of freedom z distribution with 50 degrees of freedom z distribution with 49 degrees of freedom t distribution with 48 degrees of freedom
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.