$\text { Why is } \mathrm { s } ^ { 2 } \text { the best point estimate of } \sigma ^ { 2 } \text { ? }$

question 114

Essay

$\text { Why is } \mathrm { s } ^ { 2 } \text { the best point estimate of } \sigma ^ { 2 } \text { ? }$

Understand how to formulate alternative hypotheses in hypothesis testing situations.

Apply the one-sample t-test methodology.

Determine statistical significance using confidence intervals.

Understand the basics of the sign test for matched pairs.

---

Definitions:

Nonvascular Plants

Bryophytes, such as mosses and liverworts, that have no vascular tissue and either occur in moist locations or have special adaptations for living in dry locations.

Thallus

The undifferentiated vegetative tissue of some organisms, such as algae, fungi, lichens, and liverworts, not divided into leaves, roots, or stems.

Liverwort

A type of non-vascular plant found in moist habitats, part of the bryophyte family, which includes mosses and hornworts.

Marchantia

A genus of liverworts, simple non-vascular plants found in damp habitats, known for its flat, green, branching thallus.