Determine T_crit for the Following Situations and Decide If H₀

question 19

Essay

Determine t_crit for the following situations and decide if H₀ should be rejected. For the one-tailed tests, assume that the researcher is looking for score increases.
$\begin{array}{lcccc}&&&\text { One-or Two- }\\&\underline {\text { df } }&\alpha &\underline {\text { Tailed Test }}& t_{\text { obt }}\\a. & 14 &. 01 & \text { One-tailed} & 2.61\\b. &29&.01& \text { Two-tailed} &2.83 \\c. & 5&.05& \text { One-tailed} & 2.20 \\d. &19 &.05 & \text { Two-tailed }&1.98 \\\end{array}$

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Definitions:

Discrete Random Variable

A variable that can take on a finite or countably infinite set of values, each with a measurable probability.

Density Function

A mathematical function that describes the probability distribution of a continuous random variable.

Probability Density Function

A function that describes the likelihood of a continuous random variable falling within a particular range of values.

Uniform Random Variable

Represents a variable that has a uniform distribution over a certain interval, meaning each value within the interval is equally likely to occur.