The t test for the difference between the means of two independent samples assumes that the respective:

If we are testing for the difference between the means of two independent samples with samples of n1 = 20 and n2 = 20, the number of degrees of freedom is equal to:

In testing for the differences between the means of two independent equal, the degrees of freedom are: each population are unknown but assumed equal, the degrees of freedom are: each population are unknown but assumed

In testing for differences between the means of two independent populations the null hypothesis states that:

In testing for differences between the means of two related populations where the variance of the differences is unknown, the degrees of freedom are:

If we are testing for the difference between the means of two related samples with samples of n1 = 20 and n2 = 20, the number of degrees of freedom is equal to:

In testing for differences between the means of two related populations the null hypothesis states that:

The statistical distribution used for testing the difference between two population variances is the ___ distribution.

When testing for the difference between two population variances with sample sizes of n1 = 8 and n2 = 10, the number of degrees of freedom are:

The test for the equality of two population variances is based on:

When testing for a difference in two population means from small samples, a pooled variance must be computed when ___________.

TABLE 10-1
Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0.

Referring to Table 10-1, the pooled (i.e., combined) variance is _______.

TABLE 10-1
Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0.

Referring to Table 10-1, the computed t statistic is _______.

TABLE 10-1
Two samples each of size 25 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 35.5 and standard deviation of 3.0 while the second sample has a mean of 33.0 and standard deviation of 4.0.

Referring to Table 10-1, there are _______ degrees of freedom for this test.

In what type of test is the variable of interest the difference between the values of the observations rather than the observations themselves?

To use the Wilcoxon Rank Sum Test as a test for location, we must assume that:

TABLE 10-2
To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up four weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 pounds with the standard deviation of differences computed as 6.0 pounds.

Referring to Table 10-2, the t test should be _______-tailed.

TABLE 10-2
To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up four weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 pounds with the standard deviation of differences computed as 6.0 pounds.

Referring to Table 10-2, there are _______ degrees of freedom for this test.

TABLE 10-2
To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up four weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 pounds with the standard deviation of differences computed as 6.0 pounds.

Referring to Table 10-2, the critical value for a one-tailed test of the null hypothesis of no difference at a 0.05 level of significance is _______.

TABLE 10-2
To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow-up four weeks later. Assuming that the population of differences in weight before versus after the diet follow a normal distribution, the t-test for related samples can be used to determine if there was a significant decrease in the mean weight during this period. Suppose the mean decrease in weights over all 16 subjects in the study is 3.0 pounds with the standard deviation of differences computed as 6.0 pounds.

Referring to Table 10-2, the p-value for a one-tailed test whose computed t statistic is 2.00 is between _______.