Question

You are conducting a left-tailed test of a claim about a population mean when sigma is unknown with a sample size of 7.

Answer 1

Answer:  -3.71

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Explanation:

You'll need to use a T table to answer this question. Your stats textbook should have such a table in the back appendix section.

If your textbook doesn't have the proper table, or you don't have your textbook with you, then I recommend searching online for "t table" and you should have tons of free options to choose from.

In the table you'll look for the degrees of freedom row 6, since the degrees of freedom are equal to n-1. In this case, n = 7.

In this row, locate the column labeled  "alpha = 0.005" and you'll be looking at "one tail". The value in this row and column is roughly 3.707

Since we're doing a left tailed test and we want P(t < C) = 0.005, where C is the critical value we're after. This must mean C < 0. So C = -3.707 approximately. Round this to two decimal places and we end up with -3.71