Should a t-dist, or a z-dist be used? The problem clearly states that the standa

Question

Should a t-dist, or a z-dist be used? The problem clearly states that the standard deviation is 4, but my understanding is that this is not the same as the population standard deviation required to use a z distribution. With standard error and standard deviation used interchangeably, the wording is confusing.

Also, this form is looking like a general question - but I was brought here from my specific book "answers section" from a question for which the answer was "not yet provided". Don't link people to a general forum where they need to type out the question themselves if you're marketing a product as a textbook with interactive answers available.

Explanation / Answer

If std deviation is provided, use z distribution. If it wouldn't have been provided then t distribution would have been used after calculating MSE to estimate std. deviation.

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