MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
The image illustrates a t-distribution with 6 degrees of freedom. The graph depicts a bell-shaped curve with a shaded region to the right of the point labeled \( t_{0.035} \). This shaded area represents a probability of 0.035. Key details from the graph include: - The peak of the curve is centered at 0 on the horizontal axis. - The vertical axis is labeled with values ranging from 0.0 to 0.4 at intervals of 0.1. - The shaded region under the curve signifies the area of interest, with a value of 0.035. Additionally, the text prompts the reader to find the value of \( t_{0.035} \) and round the answer to three decimal places. The calculated value provided is: \[ t_{0.035} = 0.484 \]
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Transcribed Image Text:The image illustrates a t-distribution with 6 degrees of freedom. The graph depicts a bell-shaped curve with a shaded region to the right of the point labeled \( t_{0.035} \). This shaded area represents a probability of 0.035. Key details from the graph include: - The peak of the curve is centered at 0 on the horizontal axis. - The vertical axis is labeled with values ranging from 0.0 to 0.4 at intervals of 0.1. - The shaded region under the curve signifies the area of interest, with a value of 0.035. Additionally, the text prompts the reader to find the value of \( t_{0.035} \) and round the answer to three decimal places. The calculated value provided is: \[ t_{0.035} = 0.484 \]
Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 17 degrees of freedom. Compute \( P(-1.08 < t < 1.08) \). Round your answer to at least three decimal places. \[ P(-1.08 < t < 1.08) = \boxed{} \] (b) Consider a t distribution with 3 degrees of freedom. Find the value of \( c \) such that \( P(t \leq c) = 0.05 \). Round your answer to at least three decimal places. \[ c = \boxed{} \]
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Transcribed Image Text:Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 17 degrees of freedom. Compute \( P(-1.08 < t < 1.08) \). Round your answer to at least three decimal places. \[ P(-1.08 < t < 1.08) = \boxed{} \] (b) Consider a t distribution with 3 degrees of freedom. Find the value of \( c \) such that \( P(t \leq c) = 0.05 \). Round your answer to at least three decimal places. \[ c = \boxed{} \]
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