Question

The histogram for a sample is shown below. The sample has size ( n=45 ), mean ( ar{x}=3.556 ), and standard deviation ( s=2.519 ). Is it appropriate to use a t-distribution for this sample? If it is, how many degrees of freedom should be used, and what is the standard error?

          The histogram for a sample is shown below. The sample has size ( n=45 ), mean ( ar{x}=3.556 ), and standard deviation ( s=2.519 ). Is it appropriate to use a t-distribution for this sample? If it is, how many degrees of freedom should be used, and what is the standard error?

The histogram for a sample is shown below. The sample has size ( n=45 ), mean ( arx=3.556 ), and standard deviation ( s=2.519 ). Is it appropriate to use a t-distribution for this sample? If it is, how many degrees of freedom should be used, and what is the standard error?

Added by Marcus L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lucas Finney

11/18/2024

Step 1

- For a t-distribution to be appropriate, the sample size should be relatively small (usually \( n < 30 \)) or the population distribution should be approximately normal. - Since \( n = 45 \), which is larger than 30, we can use the Central Limit Theorem. This Show more…

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