For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a. To the right of 2.120. (Use 3 decimals.) b. To the left of 1.337. (Use 2 decimals.) c. To the left of -1.746. (Use 2 decimals.) d. To the right of 2.583. (Use 2 decimals.) e. Between -2.120 and 2.120. (Use 2 decimals.) f. Between -1.746 and 1.746. (Use 2 decimals.)

The required probabilities using the t-distribution table will be a. 0.025, b. 0.90, c. 0.05, d, 0.01, e. 0.95, and f. 0.90.

Given:

A t-distribution with 16 degrees of freedom.

See the graph for the given distribution.

It is required to calculate the probability of:

Use the table of t-distribution to calculate the required probabilities.

where is the degree of freedom.

The required probabilities will be,

a) To the right of 2.120.

b) To the left of 1.337

c) To the left of -1.746

d) To the right of 2.583.

e) Between -2.120 and 2.120.

f) Between -1.746 and 1.746.

Therefore, the required probabilities using the t-distribution table will be a. 0.025, b. 0.90, c. 0.05, d, 0.01, e. 0.95, and f. 0.90.

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a. 0.025

b. 0.90

c. 0.05

d. 0.01

e. 0.95

f. 0.90

Step-by-step explanation:

From the T-distribution table, we have;

For a t distribution with 16 degrees of freedom, we have;

a.

b.

c.

d.

e.

f.

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step-by-step explanation:

step-by-step explanation:

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