Two Samples Each of Size 25 Three-Year-Old Children Are Taken

question 91

Short Answer

Two samples each of size 25 three-year-old children are taken from independent populations. The populations are distributed with equal variances. The first sample has a mean of 35.5 and a standard deviation of 3.0 while the second sample has a mean 33.0 and standard deviation of 4.0.
The pooled variance is ______________.
The computed t-statistic is ______________.
There are ______________ degrees of freedom for this test.
The critical values for a two-tailed test of the null hypothesis of no difference in the population means at the = 0.05 level of significance ______________.
A two-tailed test of the null hypothesis of no difference would ______________ at the = 0.05 level of significance.
The p-value for a two-tailed test whose computed t-statistic is 2.50 is between ______________.
If we were interested in testing against the one-tailed alternative that at the = 0.01 level of significance, the null hypothesis would ______________.
The p-value for a one-tailed test whose computed statistic is 2.50 (in the hypothesized direction) is between ______________.

---

Definitions:

Uncooperative

Showing a lack of willingness to work with others or to be helpful in achieving a common goal.

Naughty

Behavior that is disobedient or mischievous, often used to describe children who do not follow rules or norms.

Babysitter

An individual, often a teenager or young adult, who temporarily cares for children on behalf of the children's parents or guardians.

Associating Bedtime

The practice of linking specific routines or activities with the time of going to sleep to promote better sleep habits.