Use the ALEKS calculator to solve the following problems.
(a) Consider a $t$ distribution with 29 degrees of freedom. Compute $P(-1.98< t< 1.98)$. Round your answer to at least three decimal places.
\[
P(-1.98< t< 1.98)=\square
\]
(b) Consider a $t$ distribution with 3 degrees of freedom. Find the value of $c$ such that $P(t \geq c)=0.10$. Round your answer to at least three decimal places.
\[
c=\square
\]
Continue
- 2023 McGraw Hill LLC. All Rights Reser
Answer
Therefore, $c = -1.638$.
Step 1 ：To solve this problem, we need to find the probability of the t-distribution with 29 degrees of freedom falling between -1.98 and 1.98.
Step 2 ：Using the ALEKS calculator, we find that the probability is $P(-1.98 < t < 1.98) = 0.950$.
Step 3 ：Therefore, $P(-1.98 < t < 1.98) = 0.950$.
Step 4 ：In this problem, we are given a t-distribution with 3 degrees of freedom and we need to find the value of c such that $P(t \geq c) = 0.10$.
Step 5 ：Using the ALEKS calculator, we find that $c = -1.638$.
Step 6 ：Therefore, $c = -1.638$.
