Given the Following Information About a Hypothesis Test of the Difference

question 162

Multiple Choice

Given the following information about a hypothesis test of the difference between two means based on independent random samples from two normally distributed populations with unknown but equal variances,which one of the following is the correct rejection region at a significance level of .05?
H_A: ?_A > ?_B, $\bar { X }$
₁ = 12, $\bar { X }$
₂ = 9,s₁ = 3,s₂ = 2,n₁ = 13,n₂ = 10.

• A)Reject H₀ if z > 1.96
• B)Reject H₀ if z > 1.645
• C)Reject H₀ if t > 1.721
• D)Reject H₀ if t > 2.08
• E)Reject H₀ if t > 1.782

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Definitions:

Epiphyseal Plate

A growth plate located at the ends of long bones where new bone tissue is produced during childhood and adolescence.

Zone of Resting Cartilage

A region in the epiphyseal plate of growing bones where chondrocytes are not actively proliferating but can be recruited for growth.

Zone of Calcification

A region in growing bones where cartilage cells die and are replaced by bone cells, part of bone growth and development.

Zone of Hypertrophy

A region in growing bone where cartilage cells enlarge and mature, playing a critical role in bone elongation.