\[ \begin{array}{ll} H_{0}: \mu= & \text { T } 5496 \text { not daim } \\ H_{1}: \mu< & \text { T } 5496 \text { daim } \end{array} \] This hypothesis test is a \( \square \) one-tailed test. Espablat \( \infty \) Part: \( 1 / 5 \) Part 2 of 5 (b) Find the critical value(s). Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas, Critical value(s): \( \square \) 2.467
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When conducting a one-tailed test, the critical value can be found using the z-table or t-table depending on whether the sample size is large or the population standard deviation is known. In this case, since you are likely using the t-distribution, you'll want to consider your degrees of freedom which are typically derived from your sample size. Look for the t value that corresponds to your significance level (usually alpha = 0.05) and the specified degrees of freedom. To round it all off, remember that in hypothesis testing, understanding the concept of significance levels is key. A lower alpha level means you require stronger evidence to reject the null hypothesis, while a higher level may lead to more risks of false positives. Always ensure you're comfortable with the implications of your critical values in your tests!
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