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 ______________.

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Definitions:

Single-Step Income Statement

A simplified income statement that calculates net income by subtracting total expenses from total revenues with a single calculation.

Total Expenses

The sum of all costs and expenses incurred by a business during a specific period of time.

Cost of Goods Sold

The immediate expenses linked to creating products sold by a business, covering both materials and workforce costs.

Net Method

An accounting method where discounts for prompt payment are assumed in the recorded costs; if the discount is not taken, the expense is recorded later.