Question

a data set includes times (in minutes) of taxi cab rides in new york city yellow cabs during a friday morning of the same day in a recent year. using 38 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 0.10 significance level.
click the icon to view the minitab display.
identify the null and alternative hypotheses.
h₀:
h₁:
(type integers or decimals. do not round.)

Explanation:

Step1: Understand the claim

The claim is that the mean of all taxi - cab ride times is less than 15 minutes.

Step2: Define null and alternative hypotheses

The null hypothesis \(H_0\) is a statement of equality. The alternative hypothesis \(H_1\) is the claim we are testing.
For a claim about a population mean \(\mu\), if the claim is \(\mu<15\), the null hypothesis is \(H_0:\mu = 15\) (because we assume no difference or the opposite of the claim for the null) and the alternative hypothesis is \(H_1:\mu<15\)

Answer:

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