Problem

Use the ALEKS calculator to solve the following problems. (a) Consider a $t$ distribution with 29 degrees of freedom. Compute $P(-1.98

Solution

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, $c = -1.638$.

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