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

question 101

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } < \mu _ { 2 }$ Assume the two samples are random and independent. At a level of significance of α $\alpha$ = 0.05, when should you reject H₀?
Population statistics: $\sigma _ { 1 } = 2.9 \text { and } \sigma _ { 2 } = 2.8$ Sample statistics: $\overline { \mathrm { x } } 1 = 28.85 , \mathrm { n } _ { 1 } = 35 \text { and } \overline { \mathrm { x } } 2 = 31.4 , \mathrm { n } _ { 2 } = 42$

• A)Reject H₀ if the standardized test statistic is less than -1.645.
• B)Reject H₀ if the standardized test statistic is less than -1.96.
• C)Reject H₀ if the standardized test statistic is less than -2.33.
• D)Reject H₀ if the standardized test statistic is less than -2.575.

---

Definitions:

Tropical Rainforest

A hot, moist biome found near Earth's equator, characterized by high biodiversity and dense vegetation.

Temperate Deciduous Forest

A biome characterized by four seasons with trees that lose their leaves annually, found in regions with warm summers and cool winters.

Taiga

A biome characterized by coniferous forests, consisting mostly of pines, spruces, and larches, located in cold, northern latitudes.

Largest Biome

The taiga or boreal forest, characterized by coniferous forests, covering vast areas of northern North America and Eurasia.