Question

suppose you are going to conduct a one tail test concerning the population mean. suppose that you do not know what the population standard deviation is and that you have a sample of 38 observations. if you are going to conduct this test at the .05 level of significance what is the critical value? be sure to enter a positive number and answer to four decimal places.

Answer 1

The critical value of 38 sample and 0.05 level of significance is 1.6871.

What is critical value?

Critical value is cut-off point in t-distribution. Critical value in t-distribution can be known by using t table with this formula,

$t_{\alpha,df}$

df = degree of freedom = n - 1 = 38 - 1 = 37

α = level of significance = 0.05

Since the questions use conducted one tail for test, we use the one tail test row in t table. So, $t_{0.05,37}$ is 1.6871.

Thus, the critical value of 38 sample and 0.05 level of significance is 1.6871.

Learn more about critical value here:

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