Math Problem Statement

Consider a t distribution with 23 degrees of freedom. Compute P(-1.96 < t < 1.96). Round your answer to at least three decimal places. Consider a t distribution with 14 degrees of freedom. Find the value of c such that P(t ≥ c) = 0.01. Round your answer to at least three decimal places.

Solution

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The two questions in the image are:

  1. (a) Consider a t-distribution with 23 degrees of freedom. You are asked to compute P(−1.96<t<1.96)P(-1.96 < t < 1.96), rounding the answer to at least three decimal places.

  2. (b) Consider a t-distribution with 14 degrees of freedom. You are asked to find the value of cc such that P(t≥c)=0.01P(t \geq c) = 0.01, rounding your answer to at least three decimal places.

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Math Problem Analysis

Mathematical Concepts

t-distribution
Probability
Statistics

Formulas

P(-1.96 < t < 1.96)
P(t ≥ c) = 0.01

Theorems

t-distribution properties
Inverse t-distribution

Suitable Grade Level

Grades 11-12

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