Question 14 Testing: \[ \begin{array}{l} H_{0}: \mu=36.3 \\ H_{1}: \mu<36.3 \end{array} \] Your sample consists of 31 subjects, with a mean of 36.1 and standard deviation of 1.15. Calculate the test statistic, rounded to 2 decimal places. \[ t= \]

Step 1 ：We are given a null hypothesis \(H_{0}: \mu=36.3\) and an alternative hypothesis \(H_{1}: \mu<36.3\).

Step 2 ：We are also given a sample of 31 subjects, with a mean of 36.1 and standard deviation of 1.15.

Step 3 ：We can calculate the test statistic for a one-sample t-test using the formula: \[t = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}\] where: \(\bar{x}\) is the sample mean, \(\mu_0\) is the population mean under the null hypothesis, \(s\) is the sample standard deviation, and \(n\) is the sample size.

Step 4 ：Substituting the given values into the formula, we get: \[t = \frac{36.1 - 36.3}{1.15 / \sqrt{31}}\]

Step 5 ：Solving the above expression, we find that the test statistic, rounded to 2 decimal places, is \(-0.97\).

Step 6 ：So, the final answer is \(\boxed{-0.97}\).