A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with unknown variance. We take a sample of size 23 from this population. What is the critical value for the test statistic for the significance level 0.01?

-2.508

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

This is a left-tailed test.

The sample size n = 23

Then, the degree of freedom df = n - 1

df = 23 - 1

df = 22

The level of significance ∝ = 0.01

Using the student t-table to determine the critical value;

= -2.508  (since it is left tailed)

i just took the test, the correct answer is .. 31.5 in.

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