Given the Following Information About a Hypothesis Test of the Difference

question 97

Multiple Choice

Given the following information about a hypothesis test of the difference between two means based on independent random samples,what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations having equal variances.
H_A: ?_A > ?_B, $\bar { Y } _ { 1 } = 12$
$\bar { X } _ { 2 } = 9$
S₁ = 5,s₂ = 3,n₁ = 13,n₂ = 10.

• A)t = 1.96
• B)t = 1.5
• C)t = 2.823
• D)t = 1.674
• E)t = 1.063

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Definitions:

Price

The amount of money required to purchase a good, service, or asset.

Coefficient Of Determination

A statistical measurement that assesses the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

SST

Abbreviation for "Total Sum of Squares," which measures the total variance in a dataset.

SSE

Total of the squared differences between the actual data and the estimated values from a model, illustrating model accuracy.