Question

a data set includes times (in minutes) of taxi cab rides in new york city yellow cabs during a friday morning of t same day in a recent year. using 35 of the times to test the claim that the mean of all such times is less than 15 minutes, the accompanying minitab display is obtained. test the given claim by using the display provided from minitab. use a 0.05 significance level. click the icon to view the minitab display. identify the null and alternative hypotheses. ho: h₁: (type integers or decimals. do not round.)

Explanation:

Step1: Determine the null hypothesis

The null hypothesis \(H_0\) is a statement of equality. Since we are testing a claim about the mean \(\mu\), and the claim is about a value of \(15\) minutes, \(H_0:\mu = 15\)

Step2: Determine the alternative hypothesis

The alternative hypothesis \(H_1\) is the claim we are testing. The claim is that the mean of all such times is less than \(15\) minutes. So \(H_1:\mu<15\)

Answer:

\(H_0:\mu = 15\)
\(H_1:\mu<15\)