In Testing the Hypotheses:
H₀ $\mu$ ₁ - $\mu$ ₂ = 0
H_A

question 24

Essay

In testing the hypotheses:
H₀: $\mu$ ₁ - $\mu$ ₂ = 0
H_A: $\mu$ ₁ - $\mu$ ₂ > 0,
two random samples from two normal populations produced the following statistics:
n₁ = 51, x₁-bar = 35, s₁ = 28.
n₂ = 40, x₂-bar = 28, s₂ = 10.
Assume that the two population variances are different.
What conclusion can we draw at the 10% significance level?

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Definitions:

Standard Deviation

A parameter that quantifies the range or distribution of values in a dataset.

Raw Score

The original, unmodified or unstandardized score obtained in a measurement or test.

Z-scores

Standardized scores that measure the distance of a data point from the mean, expressed in terms of standard deviations.

Shaded Area

In graphical representations, the region covered by a pattern or color to emphasize or illustrate specific data areas or values.