# Z & T Distributions

Question 6

Consider a t distribution with 26 degrees of freedom. Compute P (-1.2 < t < 1.2). Round your answer to at least three decimal places.

Consider a t distribution with 19 degrees of freedom. Find the value of c such that P (t <=c) = 0.05. Round your answer to at least three decimal places.

Below is a graph of a normal distribution with mean mu = 5 and standard deviation sigma = 4. The shaded region represents the probability of obtaining a value from this distribution that is between 9 and 13.

Shade the corresponding region under the standard normal density curve below.

See attached file.

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#### Solution Preview

Please see the attachment.

Question 6

• Consider a t distribution with degrees of freedom. Compute . Round your answer to at least three decimal places.

Answer

From Student's t tables, we have,

P (-1.2 < t26 < 1.2) = 2 * P (0 < t26 < 1.2) = ...

#### Solution Summary

The solution provides step by step method for the calculation of probability using student's t curve and standard normal curve. A graph of the mean is provided.