1. The total area of the shaded region of the t- distribution with sample of size n = 23 is 0.1 as shown: a. What is the area to the left of t₁? b. What does t₁ represents? c. What is the value of t₁?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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IV. Evaluation:
Analyze and solve the problems systematically.
1. The total area of the shaded region of the t-
distribution with sample of size n = 23 is 0.1 as
shown:
a. What is the area to the left of t₁?
b. What does t₁ represents?
c. What is the value of t₁?
-t₁
t₁
2. a. What is the area to the left of t₁, if the shaded area to the left-hand tail of the distribution with df =
16 is 0.01?
b. What does t₁ represents?
c. What is the value of t₁?
3.
a. If the total shaded area of the t- distribution with df = 23 is 0.2, what is the area to the left of t₁?
b. What is the value of t₁?
c. What does t₁ represents?
Transcribed Image Text:IV. Evaluation: Analyze and solve the problems systematically. 1. The total area of the shaded region of the t- distribution with sample of size n = 23 is 0.1 as shown: a. What is the area to the left of t₁? b. What does t₁ represents? c. What is the value of t₁? -t₁ t₁ 2. a. What is the area to the left of t₁, if the shaded area to the left-hand tail of the distribution with df = 16 is 0.01? b. What does t₁ represents? c. What is the value of t₁? 3. a. If the total shaded area of the t- distribution with df = 23 is 0.2, what is the area to the left of t₁? b. What is the value of t₁? c. What does t₁ represents?
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