Suppose You Want to Test the Claim That $\mu _ { 1 } < \mu _ { 2 }$

question 109

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } < \mu _ { 2 }$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _{ 2 } ^{ 2 } \text {. }$ At a
Level of significance of α $\alpha = 0.10 \text {, }$ when should you reject H₀? $$\begin{array} { l l } \mathrm { n } _ { 1 } = 15 & \mathrm { n } _ { 2 } = 15 \\\overline { \mathrm { x } }_ 1 = 27.37 & \overline { \mathrm { x } }_ 2 = 29.92 \\\mathrm {~s} _ { 1 } = 2.9 & \mathrm {~s}_ 2 = 2.8\end{array}$$

• A)Reject H₀ if the standardized test statistic is less than -1.313.
• B)Reject H₀ if the standardized test statistic is less than -2.467.
• C)Reject H₀ if the standardized test statistic is less than -1.701.
• D)Reject H₀ if the standardized test statistic is less than -0.683.

---

Definitions:

Puberty

The period during which adolescents reach sexual maturity and become capable of reproduction.

Adolescent Growth Spurt

The first outward sign of puberty, refers to a rapid gain in height and weight that generally begins in girls at about age 10 and in boys about age 12.

Pubertal Timing

The period during which an individual undergoes physical changes to reach sexual maturity, which can vary greatly among individuals.

Physical Stress

The strain on one's body due to external factors or demands, which can be caused by environment, physical activity, or bodily injury.