Question

response times for ems vehicles the average response time for emergency medical services (ems) vehicles is 19.4 minutes. a researcher randomly selects 15 ems response times for a specific facility and found that the sample has a mean of 18.9 minutes and a standard deviation of 2.6 minutes. at α = 0.10, can it be concluded that the response times for the ems at this facility is less than 19.4 minutes? use the critical value method and tables. part: 0 / 5 part 1 of 5 (a) state the hypotheses and identify the claim. h₀: select μ > < = ≠ h₁: select this hypothesis test is a select test.

Explanation:

Step1: Define Null Hypothesis

The null hypothesis \( H_0 \) is a statement of no difference or the status quo. Here, we assume the population mean response time \( \mu \) is equal to the average response time, so \( H_0: \mu = 19.4 \).

Step2: Define Alternative Hypothesis

The alternative hypothesis \( H_1 \) is what we are testing for. The claim is that the response times are less than 19.4 minutes, so \( H_1: \mu < 19.4 \).

Step3: Identify Test Type

Since the alternative hypothesis has a less - than sign (\(<\)), this is a left - tailed test.

Answer:

\( H_0: \boldsymbol{\mu = 19.4}\)
\( H_1: \boldsymbol{\mu < 19.4}\)
This hypothesis test is a \(\boldsymbol{\text{left - tailed}}\) test.